138157301068688

Names of 138157301068688

• Cardinal: 138157301068688 can be written as One hundred thirty-eight trillion, one hundred fifty-seven billion, three hundred one million, sixty-eight thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.38157301068688 × 10¹⁴

Factors of 138157301068688

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 61802

Divisors of 138157301068688

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 8 11 16 17 19 22 31 34 38 41 44 62 68 76 82 88 124 136 152 164 176 187 209 248 272 304 323 328 341 374 418 451 496 527 589 646 656 682 697 748 779 836 902 961 1054 1178 1271 1292 1364 1394 1496 1558 1672 1804 1922 2108 2356 2542 2584 2728 2788 2992 3116 3344 3553 3608 3844 4216 4712 5084 5168 5456 5576 5797 6232 6479 7106 7216 7667 7688 8432 8569 9424 10013 10168 10571 11152 11594 12464 12958 13243 13981 14212 15334 15376 16337 17138 18259 20026 20336 21142 21607 23188 24149 25916 26486 27962 28424 30668 32674 34276 36518 39401 40052 42284 43214 46376 48298 51832 52972 55924 56848 61336 61681 65348 68552 73036 78802 80104 84568 86428 92752 96596 103664 105944 110143 111848 122672 123362 130696 137104 145673 146072 157604 160208 169136 172856 179707 193192 200849 211888 220286 223696 237677 246724 261392 265639 291346 292144 310403 315208 345712 359414 386384 401698 410533 433411 440572 475354 493448 531278 582692 620806 630416 669817 678491 718828 748619 803396 821066 866822 881144 950708 986896 1048577 1062556 1165384 1171939 1241612 1339634 1356982 1437656 1497238 1606792 1642132 1733644 1762288 1901416 1912111 2097154 2125112 2330768 2343878 2483224 2528921 2679268 2713964 2875312 2994476 3213584 3284264 3414433 3467288 3802832 3824222 4194308 4250224 4515863 4687756 4966448 5057842 5358536 5427928 5988952 6568528 6828866 6934576 7367987 7648444 8234809 8388616 9031726 9375512 10115684 10717072 10855856 11534347 11977904 12726523 12891329 13657732 14735974 15296888 16469618 16777232 18063452 18751024 19922963 20231368 21033221 23068694 25453046 25782658 27315464 27818131 29471948 30593776 32505887 32939236 36126904 36330109 39845926 40462736 42066442 42991657 46137388 48049499 50906092 51565316 54630928 55636262 58943896 59275441 65011774 65878472 72253808 72660218 78396551 79691852 84132884 85983314 92274776 96098998 101812184 103130632 111272524 117887792 118550882 130023548 131756944 139991753 145320436 156793102 159383704 168265768 171966628 184549552 192197996 203624368 206261264 219152593 222545048 237101764 260047096 279983506 290640872 313586204 318767408 336531536 343933256 357564757 384395992 399631199 438305186 445090096 472908227 474203528 520094192 528544489 559967012 581281744 617611853 627172408 652029851 687866512 715129514 768791984 799262398 816841483 862362061 876610372 945816454 948407056 1007682497 1057088978 1119934024 1126233379 1235223706 1254344816 1304059702 1332741367 1430259028 1489534469 1598524796 1633682966 1724724122 1753220744 1891632908 2015364994 2114177956 2239868048 2252466758 2430293081 2470447412 2608119404 2665482734 2860518056 2979068938 3197049592 3267365932 3449448244 3506441488 3783265816 4030729988 4228355912 4504933516 4860586162 4940894824 5216238808 5330965468 5721036112 5958137876 6394099184 6534731864 6793730383 6898896488 7566531632 8061459976 8456711824 8985256313 9009867032 9721172324 9881789648 10432477616 10661930936 11084507467 11916275752 12388567169 13069463728 13587460766 13797792976 14660155037 16122919952 16384879159 17970512626 18019734064 19145967443 19442344648 21323861872 22169014934 23832551504 24777134338 25322085973 26733223891 27174921532 29320310074 32769758318 35941025252 38291934886 38884689296 41314982377 44338029868 46175568539 49554268676 50644171946 53466447782 54349843064 58640620148 65539516636 71882050504 76583869772 82629964754 88676059736 92351137078 99108537352 101288343892 106932895564 108699686128 117281240296 131079033272 143764101008 153167739544 165259929508 177352119472 184702274156 198217074704 202576687784 210605641873 213865791128 234562480592 262158066544 278542945703 306335479088 330519859016 369404548312 405153375568 421211283746 427731582256 454464806147 507931253929 557085891406 661039718032 738809096624 784984665163 842422567492 908929612294 1015862507858 1114171782812 1569969330326 1684845134984 1817859224588 2031725015716 2228343565624 3139938660652 3369690269968 3635718449176 4063450031432 4456687131248 6279877321304 7271436898352 8126900062864 8634831316793 12559754642608 17269662633586 34539325267172 69078650534344 138157301068688
• Sum of all divisors σ(n): 344510471168640
• Sum of proper divisors (its aliquot sum) s(n): 206353170099952
• 138157301068688 is an abundant number, because the sum of its proper divisors (206353170099952) is greater than itself. Its abundance is 68195869031264

Bases of 138157301068688

• Binary: 11111011010011101000000110110100111001110010000₂
• Hexadecimal: 0x7DA740DA7390
• Base-36: 1CZ0L5XUVK

Squares and roots of 138157301068688

• 138157301068688 squared (138157301068688²) is 19087439838584098386894041344
• 138157301068688 cubed (138157301068688³) is 2637069172409732762284399075068430455836672
• The square root of 138157301068688 is 11754033.3957619841
• The cube root of 138157301068688 is 51696.1197721733

Scales and comparisons

• 138,157,301,068,688 seconds is equal to 4,392,974 years, 42 weeks, 6 days, 10 hours, 38 minutes, 8 seconds.
• To count from 1 to 138,157,301,068,688 would take you about ten million, nine hundred eighty-two thousand, four hundred thirty-seven 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 138157301068688 cubic inches would be around 4308 feet tall.

Recreational maths with 138157301068688

• 138157301068688 backwards is 886860103751831
• The number of decimal digits it has is: 15
• The sum of 138157301068688's digits is 65
• More coming soon!