137868006801408

Names of 137868006801408

• Cardinal: 137868006801408 can be written as One hundred thirty-seven trillion, eight hundred sixty-eight billion, six million, eight hundred one thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.37868006801408 × 10¹⁴

Factors of 137868006801408

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 272

Divisors of 137868006801408

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 32 34 37 39 48 51 52 64 68 73 74 78 96 102 104 111 127 128 136 146 148 156 192 204 208 219 221 222 254 256 272 292 296 312 381 384 408 416 438 442 444 481 508 512 544 584 592 624 629 663 762 768 816 832 876 884 888 949 962 1016 1024 1088 1168 1184 1241 1248 1258 1326 1369 1443 1524 1536 1632 1651 1664 1752 1768 1776 1887 1898 1924 2032 2048 2159 2176 2336 2368 2482 2496 2516 2652 2701 2738 2847 2886 3048 3072 3264 3302 3328 3504 3536 3552 3723 3774 3796 3848 4064 4096 4107 4318 4352 4672 4699 4736 4953 4964 4992 5032 5304 5402 5476 5694 5772 6096 6144 6477 6528 6604 6656 7008 7072 7104 7446 7548 7592 7696 8103 8128 8177 8192 8214 8636 8704 9271 9344 9398 9472 9906 9928 9984 10064 10608 10804 10952 11388 11544 12192 12288 12954 13056 13208 13312 14016 14097 14144 14208 14892 15096 15184 15392 16133 16206 16256 16354 16384 16428 17272 17408 17797 18542 18688 18796 18944 19812 19856 19968 20128 21216 21608 21904 22776 23088 23273 24384 24531 24576 25908 26112 26416 26624 27813 28032 28067 28194 28288 28416 29784 30192 30368 30784 32266 32412 32512 32708 32856 34544 34816 35113 35594 37084 37376 37592 37888 39624 39712 39936 40256 42432 43216 43808 45552 45917 46176 46546 48399 48768 49062 49152 51816 52224 52832 53248 53391 55626 56064 56134 56388 56576 56832 59568 60384 60736 61087 61568 64532 64824 65024 65416 65712 69088 69632 69819 70226 71188 74168 74752 75184 75776 79248 79424 79872 79883 80512 84201 84864 86432 87616 91104 91834 92352 93092 96798 97536 98124 99937 103632 104448 105339 105664 106496 106782 111252 112128 112268 112776 113152 113664 119136 120523 120768 121472 122174 123136 129064 129648 130048 130832 131424 137751 138176 139264 139638 140452 142376 148336 149504 150368 151552 157607 158496 158848 159744 159766 161024 168402 169728 172864 173863 175232 182208 183261 183668 184704 186184 193596 195072 196248 199874 207264 208896 210678 211328 212992 213564 222504 224256 224536 225552 226304 227328 238272 239649 241046 241536 242944 244348 246272 258128 259296 260096 261664 262848 275502 276352 278528 279276 280904 284752 296672 299008 299811 300736 302549 303104 315214 316992 317696 319488 319532 322048 336804 339456 343027 345728 347726 350464 361569 364416 366522 367336 369408 372368 387192 390144 392496 399748 414528 417792 421356 422656 427128 445008 448512 449072 451104 452608 454656 472821 476544 479298 482092 483072 485888 488696 492544 516256 518592 520192 521589 523328 525696 551004 552704 558552 561808 569504 593344 596921 598016 599622 601472 605098 606208 630428 633984 635392 638976 639064 644096 673608 678912 686054 691456 695452 700928 723138 728832 733044 734672 738816 744736 774384 780288 784992 799496 829056 835584 842712 845312 854256 890016 897024 898144 902208 905216 907647 909312 945642 953088 958596 964184 966144 971776 977392 985088 1029081 1032512 1037184 1038479 1040384 1043178 1046656 1051392 1102008 1105408 1117104 1123616 1139008 1186688 1193842 1196032 1199244 1202944 1210196 1260856 1267968 1270784 1278128 1288192 1299181 1347216 1357824 1372108 1382912 1390904 1401856 1446276 1457664 1466088 1469344 1477632 1489472 1548768 1560576 1569984 1598992 1658112 1685424 1690624 1698929 1708512 1780032 1790763 1794048 1796288 1804416 1810432 1815294 1818624 1891284 1906176 1917192 1928368 1932288 1943552 1954784 1970176 2048891 2058162 2065024 2074368 2076958 2080768 2086356 2093312 2102784 2204016 2210816 2234208 2247232 2260219 2278016 2373376 2387684 2398488 2405888 2420392 2521712 2535936 2541568 2556256 2576384 2598362 2694432 2715648 2744216 2765824 2781808 2803712 2892552 2915328 2932176 2938688 2955264 2955671 2978944 3097536 3115437 3121152 3139968 3197984 3316224 3370848 3381248 3397858 3417024 3560064 3581526 3588096 3592576 3608832 3620864 3630588 3782568 3812352 3834384 3856736 3864576 3887104 3897543 3909568 3940352 4097782 4116324 4130048 4148736 4153916 4172712 4186624 4205568 4408032 4421632 4459351 4468416 4494464 4520438 4556032 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154905088 161389568 163097184 163600384 164995987 166295168 172443648 175629824 176688616 178035712 185123328 186606688 187659264 188076032 189162944 190652416 196693536 198242304 199387968 200957952 203071984 204670976 214048848 215734272 215763983 216981024 217462912 218689536 227426901 227844096 229217664 229924864 230542338 230965248 232357632 242084352 245400576 246831104 249442752 250212352 262258048 263444736 264323072 265032924 265850624 267053568 279910032 282114048 283744416 285398464 285978624 287645696 289308032 291586048 303235868 304607976 305623552 307006464 307389784 309810176 322779136 326194368 327200768 329991974 332590336 344887296 351259648 353377232 356071424 370246656 373213376 375318528 376152064 378325888 381304832 393387072 396484608 398775936 401915904 406143968 409341952 428097696 431468544 431527966 433962048 434925824 437379072 454853802 455688192 458435328 459849728 461084676 464715264 484168704 490801152 493662208 494987961 498885504 500424704 524516096 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8414795337 8430231552 8481053568 8507219968 8545714176 8957121024 9079821312 9132750848 9257857024 9703547776 9747455232 9779953664 9836473088 10356671184 10438219776 10559743168 10642890752 11219727116 11308071424 11942828032 12106428416 12588386304 12760829952 12996606976 13699126272 13808894912 13886785536 13917626368 14555321664 14669930496 14754709632 14870888448 15839614752 15964336128 16784515072 16829590674 16860463104 16962107136 17014439936 17914242048 18159642624 18265501696 18515714048 19407095552 19494910464 19672946176 20713342368 20876439552 21119486336 21285781504 22439454232 22616142848 23885656064 24212856832 25176772608 25521659904 25993213952 27398252544 27617789824 27773571072 27835252736 29110643328 29339860992 29509419264 31679229504 31928672256 33569030144 33659181348 33924214272 35828484096 36319285248 36531003392 37031428096 38814191104 38989820928 39345892352 41426684736 41752879104 42238972672 44878908464 45232285696 47771312128 48425713664 50353545216 51043319808 51986427904 54796505088 55235579648 55547142144 58221286656 59018838528 63358459008 63857344512 67318362696 67848428544 71656968192 72638570496 73062006784 77628382208 77979641856 78691784704 82853369472 83505758208 84477945344 89757816928 90464571392 95542624256 100707090432 103972855808 109593010176 110471159296 111094284288 116442573312 118037677056 126716918016 134636725392 135696857088 143313936384 145277140992 155256764416 155959283712 157383569408 165706738944 168955890688 179515633856 180929142784 207945711616 219186020352 220942318592 232885146624 236075354112 253433836032 269273450784 271393714176 286627872768 310513528832 311918567424 314767138816 331413477888 337911781376 359031267712 361858285568 441884637184 465770293248 472150708224 506867672064 538546901568 542787428352 621027057664 623837134848 629534277632 662826955776 675823562752 718062535424 883769274368 931540586496 944301416448 1013735344128 1077093803136 1085574856704 1242054115328 1325653911552 1351647125504 1436125070848 1767538548736 1863081172992 1888602832896 2027470688256 2154187606272 2651307823104 2703294251008 2872250141696 3535077097472 3726162345984 4054941376512 4308375212544 5302615646208 5744500283392 8109882753024 8616750425088 10605231292416 11489000566784 17233500850176 22978001133568 34467001700352 45956002267136 68934003400704 137868006801408
• Sum of all divisors σ(n): 440182730502144
• Sum of proper divisors (its aliquot sum) s(n): 302314723700736
• 137868006801408 is an abundant number, because the sum of its proper divisors (302314723700736) is greater than itself. Its abundance is 164446716899328

Bases of 137868006801408

• Binary: 11111010110001111100101100100100100000000000000₂
• Hexadecimal: 0x7D63E5924000
• Base-36: 1CVBORLPMO

Squares and roots of 137868006801408

• 137868006801408 squared (137868006801408²) is 19007587299393082547150782464
• 137868006801408 cubed (137868006801408³) is 2620538175071081823401090857598461056909312
• The square root of 137868006801408 is 11741720.7768456153
• The cube root of 137868006801408 is 51660.0115541225

Scales and comparisons

• 137,868,006,801,408 seconds is equal to 4,383,776 years, 8 weeks, 3 days, 3 hours, 56 minutes, 48 seconds.
• To count from 1 to 137,868,006,801,408 would take you about ten million, nine hundred fifty-nine thousand, four 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 137868006801408 cubic inches would be around 4305 feet tall.

Recreational maths with 137868006801408

• 137868006801408 backwards is 804108600868731
• The number of decimal digits it has is: 15
• The sum of 137868006801408's digits is 60
• More coming soon!