642389668528128000

Names of 642389668528128000

• Cardinal: 642389668528128000 can be written as Six hundred forty-two quadrillion, three hundred eighty-nine trillion, six hundred sixty-eight billion, five hundred twenty-eight million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 6.42389668528128 × 10¹⁷

Factors of 642389668528128000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 47
• Sum of prime factors: 70

Divisors of 642389668528128000

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 41 48 50 57 60 64 75 76 80 82 95 96 100 114 120 123 125 128 150 152 160 164 190 192 200 205 228 240 246 250 256 285 300 304 320 328 375 380 384 400 410 456 475 480 492 500 512 570 600 608 615 640 656 750 760 768 779 800 820 912 950 960 984 1000 1024 1025 1140 1200 1216 1230 1280 1312 1425 1500 1520 1536 1558 1600 1640 1824 1900 1920 1968 2000 2048 2050 2280 2337 2375 2400 2432 2460 2560 2624 2850 3000 3040 3072 3075 3116 3200 3280 3648 3800 3840 3895 3936 4000 4096 4100 4560 4674 4750 4800 4864 4920 5120 5125 5248 5700 6000 6080 6144 6150 6232 6400 6560 7125 7296 7600 7680 7790 7872 8000 8192 8200 9120 9348 9500 9600 9728 9840 10240 10250 10496 11400 11685 12000 12160 12288 12300 12464 12800 13120 14250 14592 15200 15360 15375 15580 15744 16000 16384 16400 18240 18696 19000 19200 19456 19475 19680 20480 20500 20992 22800 23370 24000 24320 24576 24600 24928 25600 26240 28500 29184 30400 30720 30750 31160 31488 32000 32768 32800 36480 37392 38000 38400 38912 38950 39360 40960 41000 41984 45600 46740 48000 48640 49152 49200 49856 51200 52480 57000 58368 58425 60800 61440 61500 62320 62976 64000 65536 65600 72960 74784 76000 76800 77824 77900 78720 81920 82000 83968 91200 93480 96000 97280 97375 98304 98400 99712 102400 104960 114000 116736 116850 121600 122880 123000 124640 125952 128000 131072 131200 145920 149568 152000 153600 155648 155800 157440 163840 164000 167936 182400 186960 192000 194560 194750 196608 196800 199424 204800 209920 228000 233472 233700 243200 245760 246000 249280 251904 256000 262144 262400 291840 292125 299136 304000 307200 311296 311600 314880 327680 328000 335872 364800 373920 384000 389120 389500 393216 393600 398848 409600 419840 456000 466944 467400 486400 491520 492000 498560 503808 512000 524288 524800 583680 584250 598272 608000 614400 622592 623200 629760 655360 656000 671744 729600 747840 768000 778240 779000 786432 787200 797696 819200 839680 912000 933888 934800 972800 983040 984000 997120 1007616 1024000 1048576 1049600 1167360 1168500 1196544 1216000 1228800 1245184 1246400 1259520 1310720 1312000 1343488 1459200 1495680 1536000 1556480 1558000 1572864 1574400 1595392 1638400 1679360 1824000 1867776 1869600 1945600 1966080 1968000 1994240 2015232 2048000 2097152 2099200 2334720 2337000 2393088 2432000 2457600 2490368 2492800 2519040 2621440 2624000 2686976 2918400 2991360 3072000 3112960 3116000 3145728 3148800 3190784 3276800 3358720 3648000 3735552 3739200 3891200 3932160 3936000 3988480 4030464 4096000 4194304 4198400 4669440 4674000 4786176 4864000 4915200 4980736 4985600 5038080 5242880 5248000 5373952 5836800 5982720 6144000 6225920 6232000 6291456 6297600 6381568 6553600 6717440 7296000 7471104 7478400 7782400 7864320 7872000 7976960 8060928 8192000 8388608 8396800 9338880 9348000 9572352 9728000 9830400 9961472 9971200 10076160 10485760 10496000 10747904 11673600 11965440 12288000 12451840 12464000 12582912 12595200 12763136 13107200 13434880 14592000 14942208 14956800 15564800 15728640 15744000 15953920 16121856 16384000 16777216 16793600 18677760 18696000 19144704 19456000 19660800 19922944 19942400 20152320 20971520 20992000 21495808 23347200 23930880 24576000 24903680 24928000 25165824 25190400 25526272 26214400 26869760 29184000 29884416 29913600 31129600 31457280 31488000 31907840 32243712 32768000 33554432 33587200 37355520 37392000 38289408 38912000 39321600 39845888 39884800 40304640 41943040 41984000 42991616 46694400 47861760 49152000 49807360 49856000 50331648 50380800 51052544 52428800 53739520 58368000 59768832 59827200 62259200 62914560 62976000 63815680 64487424 65536000 67108864 67174400 74711040 74784000 76578816 77824000 78643200 79691776 79769600 80609280 83886080 83968000 85983232 93388800 95723520 98304000 99614720 99712000 100663296 100761600 102105088 104857600 107479040 116736000 119537664 119654400 124518400 125829120 125952000 127631360 128974848 131072000 134217728 134348800 149422080 149568000 153157632 155648000 157286400 159383552 159539200 161218560 167772160 167936000 171966464 186777600 191447040 196608000 199229440 199424000 201326592 201523200 204210176 209715200 214958080 233472000 239075328 239308800 249036800 251658240 251904000 255262720 257949696 262144000 268435456 268697600 298844160 299136000 306315264 311296000 314572800 318767104 319078400 322437120 335544320 335872000 343932928 373555200 382894080 393216000 398458880 398848000 402653184 403046400 408420352 419430400 429916160 466944000 478150656 478617600 498073600 503316480 503808000 510525440 515899392 524288000 536870912 537395200 597688320 598272000 612630528 622592000 629145600 637534208 638156800 644874240 671088640 671744000 687865856 747110400 765788160 786432000 796917760 797696000 805306368 806092800 816840704 838860800 859832320 933888000 956301312 957235200 996147200 1006632960 1007616000 1021050880 1031798784 1048576000 1073741824 1074790400 1195376640 1196544000 1225261056 1245184000 1258291200 1275068416 1276313600 1289748480 1342177280 1343488000 1375731712 1494220800 1531576320 1572864000 1593835520 1595392000 1610612736 1612185600 1633681408 1677721600 1719664640 1867776000 1912602624 1914470400 1992294400 2013265920 2015232000 2042101760 2063597568 2097152000 2147483648 2149580800 2390753280 2393088000 2450522112 2490368000 2516582400 2550136832 2552627200 2579496960 2684354560 2686976000 2751463424 2988441600 3063152640 3145728000 3187671040 3190784000 3221225472 3224371200 3267362816 3355443200 3439329280 3735552000 3825205248 3828940800 3984588800 4026531840 4030464000 4084203520 4127195136 4194304000 4294967296 4299161600 4781506560 4786176000 4901044224 4980736000 5033164800 5100273664 5105254400 5158993920 5368709120 5373952000 5502926848 5976883200 6126305280 6291456000 6375342080 6381568000 6442450944 6448742400 6534725632 6710886400 6878658560 7471104000 7650410496 7657881600 7969177600 8053063680 8060928000 8168407040 8254390272 8388608000 8589934592 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52277805056 53687091200 55029268480 59768832000 61203283968 61263052800 63753420800 64424509440 64487424000 65347256320 66035122176 67108864000 68719476736 68786585600 76504104960 76578816000 78416707584 79691776000 80530636800 81604378624 81684070400 82543902720 85899345920 85983232000 88046829568 95630131200 98020884480 100663296000 102005473280 102105088000 103079215104 103179878400 104555610112 107374182400 110058536960 119537664000 122406567936 122526105600 127506841600 128849018880 128974848000 130694512640 132070244352 134217728000 137438953472 137573171200 153008209920 153157632000 156833415168 159383552000 161061273600 163208757248 163368140800 165087805440 171798691840 171966464000 176093659136 191260262400 196041768960 201326592000 204010946560 204210176000 206158430208 206359756800 209111220224 214748364800 220117073920 239075328000 244813135872 245052211200 255013683200 257698037760 257949696000 261389025280 264140488704 268435456000 274877906944 275146342400 306016419840 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1568334151680 1610612736000 1632087572480 1633681408000 1649267441664 1650878054400 1672889761792 1717986918400 1760936591360 1912602624000 1958505086976 1960417689600 2040109465600 2061584302080 2063597568000 2091112202240 2113123909632 2147483648000 2199023255552 2201170739200 2448131358720 2450522112000 2509334642688 2550136832000 2576980377600 2611340115968 2613890252800 2641404887040 2748779069440 2751463424000 2817498546176 3060164198400 3136668303360 3221225472000 3264175144960 3267362816000 3298534883328 3301756108800 3345779523584 3435973836800 3521873182720 3825205248000 3917010173952 3920835379200 4080218931200 4123168604160 4127195136000 4182224404480 4226247819264 4294967296000 4402341478400 4896262717440 4901044224000 5018669285376 5100273664000 5153960755200 5222680231936 5227780505600 5282809774080 5497558138880 5502926848000 5634997092352 6120328396800 6273336606720 6442450944000 6528350289920 6534725632000 6597069766656 6603512217600 6691559047168 6871947673600 7043746365440 7650410496000 7834020347904 7841670758400 8160437862400 8246337208320 8254390272000 8364448808960 8452495638528 8589934592000 8804682956800 9792525434880 9802088448000 10037338570752 10200547328000 10307921510400 10445360463872 10455561011200 10565619548160 10995116277760 11005853696000 11269994184704 12240656793600 12546673213440 12884901888000 13056700579840 13069451264000 13207024435200 13383118094336 13743895347200 14087492730880 15300820992000 15668040695808 15683341516800 16320875724800 16492674416640 16508780544000 16728897617920 16904991277056 17179869184000 17609365913600 19585050869760 19604176896000 20074677141504 20401094656000 20615843020800 20890720927744 20911122022400 21131239096320 22011707392000 22539988369408 24481313587200 25093346426880 25769803776000 26113401159680 26138902528000 26414048870400 26766236188672 27487790694400 28174985461760 30601641984000 31336081391616 31366683033600 32641751449600 32985348833280 33017561088000 33457795235840 33809982554112 34359738368000 35218731827200 39170101739520 39208353792000 40149354283008 40802189312000 41231686041600 41781441855488 41822244044800 42262478192640 44023414784000 45079976738816 48962627174400 50186692853760 51539607552000 52226802319360 52277805056000 52828097740800 53532472377344 54975581388800 56349970923520 61203283968000 62672162783232 62733366067200 65283502899200 66035122176000 66915590471680 67619965108224 68719476736000 70437463654400 78340203479040 78416707584000 80298708566016 81604378624000 82463372083200 83644488089600 84524956385280 88046829568000 90159953477632 97925254348800 100373385707520 103079215104000 104453604638720 104555610112000 105656195481600 107064944754688 112699941847040 122406567936000 125344325566464 125466732134400 130567005798400 132070244352000 133831180943360 135239930216448 137438953472000 140874927308800 156680406958080 156833415168000 160597417132032 163208757248000 164926744166400 167288976179200 169049912770560 176093659136000 195850508697600 200746771415040 206158430208000 208907209277440 209111220224000 211312390963200 214129889509376 225399883694080 244813135872000 250933464268800 261134011596800 264140488704000 267662361886720 270479860432896 274877906944000 281749854617600 313360813916160 313666830336000 321194834264064 326417514496000 334577952358400 338099825541120 352187318272000 391701017395200 401493542830080 412316860416000 418222440448000 422624781926400 428259779018752 450799767388160 489626271744000 501866928537600 522268023193600 528280977408000 535324723773440 563499709235200 626721627832320 627333660672000 642389668528128 652835028992000 669155904716800 676199651082240 704374636544000 783402034790400 802987085660160 824633720832000 836444880896000 845249563852800 856519558037504 979252543488000 1003733857075200 1044536046387200 1056561954816000 1070649447546880 1126999418470400 1254667321344000 1284779337056256 1305670057984000 1338311809433600 1352399302164480 1408749273088000 1566804069580800 1605974171320320 1672889761792000 1690499127705600 1713039116075008 1958505086976000 2007467714150400 2113123909632000 2141298895093760 2253998836940800 2509334642688000 2569558674112512 2611340115968000 2676623618867200 2817498546176000 3133608139161600 3211948342640640 3345779523584000 3380998255411200 3917010173952000 4014935428300800 4226247819264000 4282597790187520 5018669285376000 5139117348225024 5222680231936000 5353247237734400 5634997092352000 6423896685281280 6691559047168000 6761996510822400 7834020347904000 8029870856601600 8452495638528000 8565195580375040 10037338570752000 10706494475468800 11269994184704000 12847793370562560 13383118094336000 15668040695808000 16059741713203200 16904991277056000 20074677141504000 21412988950937600 25695586741125120 26766236188672000 32119483426406400 33809982554112000 40149354283008000 42825977901875200 53532472377344000 64238966852812800 80298708566016000 107064944754688000 128477933705625600 160597417132032000 214129889509376000 321194834264064000 642389668528128000
• Sum of all divisors σ(n): 2305280059259748480
• Sum of proper divisors (its aliquot sum) s(n): 1662890390731620480
• 642389668528128000 is an abundant number, because the sum of its proper divisors (1662890390731620480) is greater than itself. Its abundance is 1020500722203492480

Bases of 642389668528128000

• Binary: 100011101010001110100000000000000000000000000000000000000000₂
• Hexadecimal: 0x8EA3A0000000000
• Base-36: 4VP84RONWYYO

Squares and roots of 642389668528128000

• 642389668528128000 squared (642389668528128000²) is 412664486231678165441927184384000000
• 642389668528128000 cubed (642389668528128000³) is 265091402523697977565652403415126664546353152000000000
• The square root of 642389668528128000 is 801492151.2579695873
• The cube root of 642389668528128000 is 862845.1239827765

Scales and comparisons

• 642,389,668,528,128,000 seconds is equal to 20,426,004,417 years, 25 weeks, 1 day, 10 hours, 40 minutes.
• To count from 1 to 642,389,668,528,128,000 would take you about sixty-one billion, two hundred seventy-eight million, thirteen thousand, two hundred fifty-two years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 642389668528128000 cubic inches would be around 71903.8 feet tall.

Recreational maths with 642389668528128000

• 642389668528128000 backwards is 000821825866983246
• The number of decimal digits it has is: 18
• The sum of 642389668528128000's digits is 78
• More coming soon!