42400353648640

Names of 42400353648640

• Cardinal: 42400353648640 can be written as Forty-two trillion, four hundred billion, three hundred fifty-three million, six hundred forty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.240035364864 × 10¹³

Factors of 42400353648640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 78

Divisors of 42400353648640

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 26 32 34 40 41 52 64 65 68 80 82 85 104 128 130 136 160 164 169 170 205 208 221 256 260 272 320 328 338 340 410 416 442 512 520 533 544 640 656 676 680 697 820 832 845 884 1024 1040 1066 1088 1105 1280 1312 1352 1360 1394 1640 1664 1690 1768 2048 2080 2132 2176 2197 2210 2560 2624 2665 2704 2720 2788 2873 3280 3328 3380 3485 3536 4096 4160 4264 4352 4394 4420 5120 5248 5330 5408 5440 5576 5746 6560 6656 6760 6929 6970 7072 8192 8320 8528 8704 8788 8840 9061 10240 10496 10660 10816 10880 10985 11152 11492 13120 13312 13520 13858 13940 14144 14365 16384 16640 17056 17408 17576 17680 18122 20480 20992 21320 21632 21760 21970 22304 22984 26240 26624 27040 27716 27880 28288 28561 28730 32768 33280 34112 34645 34816 35152 35360 36244 37349 40960 41984 42640 43264 43520 43940 44608 45305 45968 52480 53248 54080 55432 55760 56576 57122 57460 66560 68224 69290 69632 70304 70720 72488 74698 81920 83968 85280 86528 87040 87880 89216 90077 90610 91936 104960 106496 108160 110864 111520 113152 114244 114920 117793 133120 136448 138580 139264 140608 141440 142805 144976 149396 163840 167936 170560 173056 174080 175760 178432 180154 181220 183872 186745 209920 212992 216320 221728 223040 226304 228488 229840 235586 266240 272896 277160 278528 281216 282880 285610 289952 298792 335872 341120 346112 348160 351520 356864 360308 362440 367744 371293 373490 419840 425984 432640 443456 446080 450385 452608 456976 459680 471172 485537 532480 545792 554320 557056 562432 565760 571220 579904 588965 597584 671744 682240 692224 696320 703040 713728 720616 724880 735488 742586 746980 839680 865280 886912 892160 900770 905216 913952 919360 942344 971074 1064960 1091584 1108640 1124864 1131520 1142440 1159808 1171001 1177930 1195168 1343488 1364480 1384448 1392640 1406080 1427456 1441232 1449760 1470976 1485172 1493960 1531309 1679360 1730560 1773824 1784320 1801540 1810432 1827904 1838720 1856465 1884688 1942148 2129920 2183168 2217280 2249728 2263040 2284880 2319616 2342002 2355860 2390336 2427685 2728960 2768896 2785280 2812160 2854912 2882464 2899520 2941952 2970344 2987920 3062618 3358720 3461120 3547648 3568640 3603080 3620864 3655808 3677440 3712930 3769376 3884296 4366336 4434560 4499456 4526080 4569760 4639232 4684004 4711720 4780672 4855370 5457920 5537792 5624320 5709824 5764928 5799040 5855005 5883904 5940688 5975840 6125236 6311981 6717440 6922240 7095296 7137280 7206160 7241728 7311616 7354880 7425860 7538752 7656545 7768592 8732672 8869120 8998912 9052160 9139520 9278464 9368008 9423440 9561344 9710740 10915840 11248640 11419648 11529856 11598080 11710010 11767808 11881376 11951680 12250472 12623962 13844480 14190592 14274560 14412320 14623232 14709760 14851720 15077504 15223013 15313090 15537184 17465344 17738240 17997824 18104320 18279040 18556928 18736016 18846880 19122688 19421480 19907017 21831680 22497280 22839296 23059712 23196160 23420020 23535616 23762752 23903360 24500944 25247924 27688960 28381184 28549120 28824640 29246464 29419520 29703440 30155008 30446026 30626180 31074368 31559905 35476480 35995648 36208640 36558080 37113856 37472032 37693760 38245376 38842960 39814034 43663360 44994560 46119424 46392320 46840040 47071232 47525504 47806720 49001888 50495848 56762368 57098240 57649280 58492928 58839040 59406880 60310016 60892052 61252360 62148736 63119810 70952960 71991296 73116160 74227712 74944064 75387520 76115065 76490752 77685920 79628068 87326720 89989120 92238848 92784640 93680080 94142464 95051008 95613440 98003776 99535085 100991696 113524736 114196480 115298560 116985856 117678080 118813760 120620032 121784104 122504720 124297472 126239620 141905920 146232320 148455424 149888128 150775040 152230130 152981504 155371840 159256136 179978240 184477696 185569280 187360160 190102016 191226880 196007552 199070170 201983392 227049472 230597120 233971712 235356160 237627520 241240064 243568208 245009440 248594944 252479240 258791221 283811840 292464640 296910848 299776256 301550080 304460260 305963008 310743680 318512272 359956480 368955392 371138560 374720320 380204032 382453760 392015104 398140340 403966784 461194240 467943424 470712320 475255040 482480128 487136416 490018880 497189888 504958480 517582442 567623680 584929280 599552512 603100160 608920520 611926016 621487360 637024544 737910784 742277120 749440640 760408064 764907520 784030208 796280680 807933568 922388480 935886848 950510080 964960256 974272832 980037760 994379776 1009916960 1035164884 1135247360 1169858560 1199105024 1206200320 1217841040 1223852032 1242974720 1274049088 1293956105 1475821568 1484554240 1498881280 1520816128 1529815040 1568060416 1592561360 1615867136 1844776960 1901020160 1929920512 1948545664 1960075520 1988759552 2019833920 2070329768 2339717120 2398210048 2412400640 2435682080 2485949440 2548098176 2587912210 2951643136 2997762560 3041632256 3059630080 3136120832 3185122720 3231734272 3689553920 3802040320 3859841024 3897091328 3920151040 3977519104 4039667840 4140659536 4679434240 4796420096 4824801280 4871364160 4971898880 5096196352 5175824420 5995525120 6083264512 6119260160 6272241664 6370245440 6463468544 7379107840 7604080640 7794182656 7840302080 7955038208 8079335680 8281319072 9592840192 9649602560 9742728320 9943797760 10192392704 10351648840 11991050240 12166529024 12544483328 12740490880 12926937088 14758215680 15208161280 15588365312 15680604160 15910076416 16158671360 16562638144 19185680384 19299205120 19485456640 19887595520 20384785408 20703297680 23982100480 25088966656 25480981760 25853874176 30416322560 31176730624 31361208320 32317342720 33125276288 38371360768 38970913280 39775191040 40769570816 41406595360 47964200960 50177933312 50961963520 51707748352 60832645120 62353461248 62722416640 64634685440 66250552576 77941826560 79550382080 81539141632 82813190720 95928401920 101923927040 103415496704 124706922496 125444833280 129269370880 132501105152 155883653120 163078283264 165626381440 191856803840 203847854080 206830993408 249413844992 250889666560 258538741760 265002210304 311767306240 326156566528 331252762880 407695708160 498827689984 517077483520 530004420608 623534612480 652313133056 662505525760 815391416320 1034154967040 1060008841216 1247069224960 1325011051520 1630782832640 2120017682432 2494138449920 2650022103040 3261565665280 4240035364864 5300044206080 8480070729728 10600088412160 21200176824320 42400353648640
• Sum of all divisors σ(n): 119570797941840
• Sum of proper divisors (its aliquot sum) s(n): 77170444293200
• 42400353648640 is an abundant number, because the sum of its proper divisors (77170444293200) is greater than itself. Its abundance is 34770090644560

Bases of 42400353648640

• Binary: 1001101001000000011010000001001000000000000000₂
• Hexadecimal: 0x26901A048000
• Base-36: F12GBTFR4

Squares and roots of 42400353648640

• 42400353648640 squared (42400353648640²) is 1797789989529739360573849600
• 42400353648640 cubed (42400353648640³) is 76226931342045751694895644451530604544000
• The square root of 42400353648640 is 6511555.3939623367
• The cube root of 42400353648640 is 34870.3649733259

Scales and comparisons

• 42,400,353,648,640 seconds is equal to 1,348,200 years, 4 weeks, 5 days, 21 hours, 30 minutes, 40 seconds.
• To count from 1 to 42,400,353,648,640 would take you about three million, three hundred seventy thousand, five hundred 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 42400353648640 cubic inches would be around 2905.9 feet tall.

Recreational maths with 42400353648640

• 42400353648640 backwards is 04684635300424
• The number of decimal digits it has is: 14
• The sum of 42400353648640's digits is 49
• More coming soon!