164083640064000
164,083,640,064,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 164083640064000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
164083640064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 164083640064000:
211 × 3 × 53 × 19 × 71 × 109 × 1453
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 71 × 109 × 1453)See below for interesting mathematical facts about the number 164083640064000 from the Numbermatics database.
Names of 164083640064000
- Cardinal: 164083640064000 can be written as One hundred sixty-four trillion, eighty-three billion, six hundred forty million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.64083640064 × 1014
Factors of 164083640064000
Divisors of 164083640064000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 71 75 76 80 95 96 100 109 114 120 125 128 142 150 152 160 190 192 200 213 218 228 240 250 256 284 285 300 304 320 327 355 375 380 384 400 426 436 456 475 480 500 512 545 568 570 600 608 640 654 710 750 760 768 800 852 872 912 950 960 1000 1024 1065 1090 1136 1140 1200 1216 1280 1308 1349 1420 1425 1453 1500 1520 1536 1600 1635 1704 1744 1775 1824 1900 1920 2000 2048 2071 2130 2180 2272 2280 2375 2400 2432 2560 2616 2698 2725 2840 2850 2906 3000 3040 3072 3200 3270 3408 3488 3550 3648 3800 3840 4000 4047 4142 4260 4359 4360 4544 4560 4750 4800 4864 5120 5232 5325 5396 5450 5680 5700 5812 6000 6080 6144 6213 6400 6540 6745 6816 6976 7100 7125 7265 7296 7600 7680 7739 8000 8094 8175 8284 8520 8718 8720 8875 9088 9120 9500 9600 9728 10240 10355 10464 10650 10792 10900 11360 11400 11624 12000 12160 12426 12800 13080 13490 13625 13632 13952 14200 14250 14530 14592 15200 15360 15478 16000 16188 16350 16568 17040 17436 17440 17750 18176 18240 19000 19200 19456 20235 20710 20928 21300 21584 21795 21800 22720 22800 23217 23248 24000 24320 24852 25600 26160 26625 26980 27250 27264 27607 27904 28400 28500 29060 29184 30400 30720 30956 31065 32000 32376 32700 33136 33725 34080 34872 34880 35500 36325 36352 36480 38000 38400 38695 38912 40470 40875 41420 41856 42600 43168 43590 43600 45440 45600 46434 46496 48000 48640 49704 51200 51775 52320 53250 53960 54500 54528 55214 55808 56800 57000 58120 58368 60800 61912 62130 64000 64752 65400 66272 67450 68160 69744 69760 71000 72650 72704 72960 76000 76800 77390 80940 81750 82821 82840 83712 85200 86336 87180 87200 90880 91200 92868 92992 96000 97280 99408 101175 103163 103550 104640 106500 107920 108975 109000 109056 110428 111616 113600 114000 116085 116240 116736 121600 123824 124260 128000 129504 130800 132544 134900 136320 138035 139488 139520 142000 145300 145408 145920 147041 152000 153600 154780 155325 158377 161880 163500 165642 165680 167424 168625 170400 172672 174360 174400 181625 181760 182400 185736 185984 192000 193475 194560 198816 202350 206326 207100 209280 213000 215840 217950 218000 218112 220856 223232 227200 228000 232170 232480 243200 247648 248520 256000 258875 259008 261600 265088 269800 272640 276070 278976 279040 284000 290600 291840 294082 304000 309489 309560 310650 316754 323760 327000 331284 331360 334848 337250 340800 345344 348720 348800 363250 363520 364800 371472 371968 384000 386950 397632 404700 412652 414105 414200 418560 426000 431680 435900 436000 436224 441123 441712 454400 456000 464340 464960 475131 486400 495296 497040 505875 515815 517750 518016 523200 530176 539600 544875 545280 552140 557952 558080 568000 580425 581200 583680 588164 608000 618978 619120 621300 633508 647520 654000 662568 662720 669696 674500 681600 690175 690688 697440 697600 726500 727040 729600 735205 742944 743936 768000 773900 776625 791885 795264 809400 825304 828210 828400 837120 852000 863360 871800 872000 882246 883424 908800 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3533696 3635200 3648000 3676025 3714720 3719680 3801048 3869500 3920194 3959425 3962368 3976320 4047000 4126520 4141050 4142000 4144128 4185600 4241408 4316800 4359000 4411230 4417120 4463616 4544000 4643400 4649600 4705312 4751310 4864000 4951824 4952960 4970400 5068064 5158150 5180160 5232000 5300544 5301760 5396000 5452800 5521400 5579520 5580800 5804250 5812000 5880291 5881640 5943552 6018326 6189780 6191200 6213000 6335080 6362112 6475200 6602432 6625680 6627200 6816000 6901750 6906880 6974400 6976000 7057968 7067392 7296000 7352050 7429440 7439360 7602096 7737225 7739000 7840388 7918850 7924736 7952640 8094000 8253040 8282100 8284000 8288256 8371200 8633600 8718000 8822460 8834240 8927232 9027489 9088000 9286800 9299200 9410624 9502620 9800485 9903648 9905920 9940800 10136128 10316300 10352625 10360320 10464000 10601088 10603520 10792000 10905600 11028075 11042800 11159040 11244767 11608500 11624000 11760582 11763280 11878275 11887104 12036652 12379560 12382400 12426000 12670160 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385172864 392019400 396145920 396236800 397632000 405445120 412652000 424043520 427301146 441123000 441712000 449790680 451374450 451709952 470423280 470531200 475131000 481466080 486534144 490024250 495182400 495296000 501784832 506806400 518016000 528194560 530054400 530176000 539748816 557952000 562238350 564637440 577759296 588029100 588164000 594355200 601832600 608167680 618978000 627231040 633508000 633833472 640951719 660243200 662568000 674686020 705796800 706739200 719665088 722199120 735036375 742944000 752290750 752677248 752849920 760209600 770345728 784038800 792291840 795264000 810890240 825304000 843357525 848087040 854602292 882246000 883424000 899581360 902748900 903419904 940846560 941062400 950262000 962932160 973068288 980048500 990364800 990592000 1003569664 1013612800 1036032000 1056389120 1060108800 1068252865 1079497632 1115904000 1124476700 1128436125 1129274880 1155518592 1176058200 1176328000 1188710400 1203665200 1216335360 1237956000 1254462080 1267016000 1281903438 1320486400 1325136000 1349372040 1405595875 1411593600 1413478400 1439330176 1444398240 1470072750 1485888000 1504581500 1505354496 1505699840 1520419200 1540691456 1568077600 1584583680 1590528000 1621780480 1650608000 1686715050 1709204584 1764492000 1766848000 1799162720 1805497800 1881693120 1882124800 1900524000 1925864320 1960097000 1980729600 1981184000 2007139328 2027225600 2120217600 2136505730 2158995264 2248953400 2256872250 2258549760 2311037184 2352116400 2352656000 2407330400 2432670720 2475912000 2508924160 2534032000 2563806876 2640972800 2650272000 2698744080 2811191750 2823187200 2878660352 2888796480 2940145500 2971776000 3009163000 3010708992 3040838400 3081382912 3136155200 3169167360 3204758595 3301216000 3373430100 3418409168 3528984000 3533696000 3598325440 3610995600 3763386240 3764249600 3801048000 3851728640 3920194000 3961459200 4014278656 4054451200 4216787625 4240435200 4273011460 4317990528 4497906800 4513744500 4517099520 4622074368 4704232800 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20510455008 21202176000 21365057300 21589952640 22489534000 22585497600 23029282816 23110371840 23521164000 24073304000 24326707200 25089241600 25638068760 26409728000 26706321625 26987440800 27347273344 28231872000 28786603520 28887964800 30107089920 30408384000 30813829120 31361552000 32047585950 33734301000 34184091680 34543924224 35983254400 36109956000 37633862400 37642496000 38517286400 39614592000 40544512000 41020910016 42730114600 43179905280 44979068000 46220743680 47042328000 48146608000 50178483200 51276137520 53412643250 53974881600 54694546688 56463744000 57573207040 57775929600 60214179840 60816768000 62723104000 64095171900 67468602000 68368183360 69087848448 71966508800 72219912000 75267724800 77034572800 79229184000 80118964875 82041820032 85460229200 86359810560 89958136000 92441487360 94084656000 96293216000 100356966400 102552275040 106825286500 107949763200 109389093376 112927488000 115146414080 115551859200 121633536000 125446208000 128190343800 134937204000 136736366720 143933017600 144439824000 150535449600 154069145600 160237929750 164083640064 170920458400 172719621120 179916272000 188169312000 192586432000 205104550080 213650573000 215899526400 218778186752 231103718400 250892416000 256380687600 269874408000 273472733440 287866035200 288879648000 301070899200 320475859500 328167280128 341840916800 345439242240 359832544000 376338624000 385172864000 410209100160 427301146000 431799052800 437556373504 462207436800 501784832000 512761375200 539748816000 546945466880 575732070400 577759296000 640951719000 656334560256 683681833600 719665088000 752677248000 770345728000 820418200320 854602292000 863598105600 1025522750400 1079497632000 1093890933760 1155518592000 1281903438000 1312669120512 1367363667200 1439330176000 1505354496000 1640836400640 1709204584000 1727196211200 2051045500800 2158995264000 2187781867520 2311037184000 2563806876000 2734727334400 2878660352000 3281672801280 3418409168000 4102091001600 4317990528000 5127613752000 5469454668800 6563345602560 6836818336000 8204182003200 8635981056000 10255227504000 10938909337600 13673636672000 16408364006400 20510455008000 27347273344000 32816728012800 41020910016000 54694546688000 82041820032000 164083640064000
- Sum of all divisors σ(n): 588515735808000
- Sum of proper divisors (its aliquot sum) s(n): 424432095744000
- 164083640064000 is an abundant number, because the sum of its proper divisors (424432095744000) is greater than itself. Its abundance is 260348455680000
Bases of 164083640064000
- Binary: 1001010100111011101100110001010001011000000000002
- Hexadecimal: 0x953BB3145800
- Base-36: 1M5UZES2YO
Squares and roots of 164083640064000
- 164083640064000 squared (1640836400640002) is 26923440936652305924096000000
- 164083640064000 cubed (1640836400640003) is 4417696191934019990364982968582144000000000
-
The
square root of 164083640064000 is 12809513.6544679167 -
The
cube root of 164083640064000 is 54746.3404698967
Scales and comparisons
How big is 164083640064000?- 164,083,640,064,000 seconds is equal to 5,217,352 years, 10 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 164,083,640,064,000 would take you about thirteen million, forty-three thousand, three hundred eighty 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 164083640064000 cubic inches would be around 4562.2 feet tall.
Recreational maths with 164083640064000
- 164083640064000 backwards is 000460046380461
- The number of decimal digits it has is: 15
- The sum of 164083640064000's digits is 42
- More coming soon!
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The information we have on file for 164083640064000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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