54072437971968

Names of 54072437971968

• Cardinal: 54072437971968 can be written as Fifty-four trillion, seventy-two billion, four hundred thirty-seven million, nine hundred seventy-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 5.4072437971968 × 10¹³

Factors of 54072437971968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 186

Divisors of 54072437971968

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 71 72 78 96 97 104 117 128 142 144 156 169 192 194 208 213 234 256 284 288 291 312 338 384 388 416 426 468 507 512 568 576 582 624 639 676 768 776 832 852 873 923 936 1014 1024 1136 1152 1164 1248 1261 1278 1352 1521 1536 1552 1664 1704 1746 1846 1872 2028 2272 2304 2328 2496 2522 2556 2704 2769 3042 3072 3104 3328 3408 3492 3692 3744 3783 4056 4544 4608 4656 4992 5041 5044 5112 5408 5538 6084 6208 6656 6816 6887 6984 7384 7488 7566 8112 8307 9088 9216 9312 9984 10082 10088 10224 10816 11076 11349 11999 12168 12416 13312 13632 13774 13968 14768 14976 15123 15132 16224 16393 16614 18176 18624 19968 20164 20176 20448 20661 21632 22152 22698 23998 24336 24832 27264 27548 27936 29536 29952 30246 30264 32448 32786 33228 35997 36352 37248 39936 40328 40352 40896 41322 43264 44304 45369 45396 47996 48672 49179 49664 54528 55096 55872 59072 59904 60492 60528 61983 64896 65533 65572 66456 71994 72704 74496 80656 80704 81792 82644 86528 88608 89531 90738 90792 95992 97344 98358 99328 107991 109056 110192 111744 118144 119808 120984 121056 123966 129792 131066 131144 132912 143988 147537 148992 161312 161408 163584 165288 173056 177216 179062 181476 181584 191984 194688 196599 196716 215982 218112 220384 223488 236288 241968 242112 247932 259584 262132 262288 265824 268593 287976 295074 297984 322624 322816 327168 330576 354432 357911 358124 362952 363168 383968 389376 393198 393432 431964 440768 446976 472576 483936 484224 488977 495864 519168 524264 524576 531648 537186 575952 589797 590148 645248 645632 654336 661152 708864 715822 716248 725904 726336 767936 778752 786396 786864 805779 851929 863928 881536 893952 945152 967872 968448 977954 991728 1048528 1049152 1063296 1073733 1074372 1151904 1163903 1179594 1180296 1290496 1291264 1322304 1417728 1431644 1432496 1451808 1452672 1466931 1535872 1557504 1572792 1573728 1611558 1703858 1727856 1763072 1935744 1936896 1955908 1983456 2097056 2098304 2126592 2147466 2148744 2303808 2327806 2359188 2360592 2555787 2580992 2644608 2835456 2863288 2864992 2903616 2905344 2933862 3071744 3145584 3147456 3221199 3223116 3407716 3455712 3491709 3526144 3871488 3873792 3911816 3966912 4194112 4196608 4253184 4294932 4297488 4400793 4607616 4652843 4655612 4718376 4721184 5111574 5161984 5289216 5726576 5729984 5807232 5810688 5867724 6143488 6291168 6294912 6356701 6442398 6446232 6815432 6911424 6983418 7052288 7667361 7742976 7823632 7933824 8388224 8393216 8506368 8589864 8594976 8801586 9215232 9305686 9311224 9436752 9442368 10223148 10475127 10578432 11453152 11459968 11614464 11621376 11735448 12286976 12582336 12589824 12713402 12884796 12892464 13630864 13822848 13958529 13966836 15334722 15485952 15647264 15867648 16776448 16786432 17179728 17189952 17603172 18430464 18611372 18622448 18873504 18884736 19070103 20446296 20950254 21156864 22906304 22919936 23228928 23470896 25164672 25179648 25426804 25769592 25784928 27261728 27645696 27917058 27933672 30669444 31294528 31735296 33552896 34359456 34379904 34717367 35206344 36860928 37222744 37244896 37747008 37769472 38140206 40892592 41875587 41900508 45812608 45839872 46457856 46941792 50329344 50359296 50853608 51539184 51569856 54523456 55291392 55834116 55867344 57210309 60486959 61338888 62589056 63470592 67105792 68718912 68759808 69434734 70412688 74445488 74489792 75494016 75538944 76280412 81785184 82637113 83751174 83801016 91625216 91679744 93883584 100658688 101707216 103078368 103139712 104152101 109046912 110582784 111668232 111734688 114420618 120973918 122677776 125178112 137437824 137519616 138869468 140825376 148890976 148979584 150988032 151077888 152560824 163570368 165274226 167502348 167602032 181460877 183250432 187767168 201317376 203414432 206156736 206279424 208304202 218093824 223336464 223469376 228841236 241947836 245355552 247911339 250356224 274875648 275039232 277738936 281650752 297781952 297959168 301976064 305121648 312456303 327140736 330548452 335004696 335204064 362921754 366500864 375534336 406828864 412313472 412558848 416608404 436187648 446672928 446938752 451325771 457682472 483895672 490711104 495822678 500712448 544382631 549751296 555477872 563301504 595563904 595918336 603952128 610243296 624912606 654281472 661096904 670009392 670408128 725843508 743734017 751068672 813657728 824626944 825117696 833216808 872375296 893345856 893877504 902651542 915364944 967791344 981422208 991645356 1088765262 1099502592 1110955744 1126603008 1191127808 1191836672 1220486592 1249825212 1308562944 1322193808 1340018784 1340816256 1353977313 1451687016 1487468034 1502137344 1627315456 1649253888 1666433616 1786691712 1787755008 1805303084 1830729888 1935582688 1962844416 1983290712 2177530524 2221911488 2253206016 2382255616 2440973184 2499650424 2617125888 2644387616 2680037568 2681632512 2707954626 2903374032 2974936068 3254630912 3298507776 3332867232 3573383424 3575510016 3610606168 3661459776 3871165376 3925688832 3966581424 4061931939 4355061048 4443822976 4506412032 4764511232 4881946368 4999300848 5288775232 5360075136 5363265024 5415909252 5806748064 5867235023 5949872136 6509261824 6665734464 7146766848 7221212336 7322919552 7742330752 7851377664 7933162848 8123863878 8710122096 8887645952 9763892736 9998601696 10577550464 10720150272 10726530048 10831818504 11613496128 11734470046 11899744272 13331468928 14293533696 14442424672 14645839104 15484661504 15866325696 16247727756 17420244192 17601705069 17775291904 19527785472 19997203392 21155100928 21440300544 21663637008 23226992256 23468940092 23799488544 26662937856 28884849344 29291678208 30969323008 31732651392 32495455512 34840488384 35203410138 35550583808 39994406784 42310201856 42880601088 43327274016 46453984512 46937880184 47598977088 52805115207 53325875712 57769698688 58583356416 61938646016 63465302784 64990911024 69680976768 70406820276 79988813568 84620403712 86654548032 92907969024 93875760368 95197954176 105610230414 106651751424 115539397376 126930605568 129981822048 139361953536 140813640552 159977627136 173309096064 185815938048 187751520736 190395908352 211220460828 231078794752 253861211136 259963644096 278723907072 281627281104 319955254272 346618192128 375503041472 380791816704 422440921656 462157589504 519927288192 557447814144 563254562208 693236384256 751006082944 761583633408 844881843312 1039854576384 1126509124416 1386472768512 1502012165888 1689763686624 2079709152768 2253018248832 3004024331776 3379527373248 4159418305536 4506036497664 6008048663552 6759054746496 9012072995328 13518109492992 18024145990656 27036218985984 54072437971968
• Sum of all divisors σ(n): 173250181462176
• Sum of proper divisors (its aliquot sum) s(n): 119177743490208
• 54072437971968 is an abundant number, because the sum of its proper divisors (119177743490208) is greater than itself. Its abundance is 65105305518240

Bases of 54072437971968

• Binary: 1100010010110110111000011101010001110000000000₂
• Hexadecimal: 0x312DB8751C00
• Base-36: J60J9GJK0

Squares and roots of 54072437971968

• 54072437971968 squared (54072437971968²) is 2923828548232326836753793024
• 54072437971968 cubed (54072437971968³) is 158098537814961740612057008667190185951232
• The square root of 54072437971968 is 7353396.3562402917
• The cube root of 54072437971968 is 37814.5250795531

Scales and comparisons

• 54,072,437,971,968 seconds is equal to 1,719,336 years, 14 weeks, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 54,072,437,971,968 would take you about four million, two hundred ninety-eight thousand, three hundred forty 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 54072437971968 cubic inches would be around 3151.2 feet tall.

Recreational maths with 54072437971968

• 54072437971968 backwards is 86917973427045
• 54072437971968 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 54072437971968's digits is 72
• More coming soon!