138706175296128

Names of 138706175296128

• Cardinal: 138706175296128 can be written as One hundred thirty-eight trillion, seven hundred six billion, one hundred seventy-five million, two hundred ninety-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38706175296128 × 10¹⁴

Factors of 138706175296128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 84

Divisors of 138706175296128

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 31 32 33 37 44 48 62 64 66 74 88 93 96 111 124 128 132 148 176 186 192 222 248 264 296 341 352 372 384 407 444 496 528 592 682 704 744 814 888 961 992 1023 1056 1147 1184 1221 1364 1408 1488 1628 1776 1922 1984 2046 2112 2294 2368 2442 2728 2883 2976 3256 3441 3552 3844 3968 4092 4224 4588 4736 4884 5456 5766 5952 6512 6882 7104 7688 8184 9176 9768 10571 10912 11532 11904 12617 13024 13764 14208 15376 16368 18352 19536 21142 21824 23064 25234 26048 27528 29791 30752 31713 32736 35557 36704 37851 39072 42284 43648 46128 50468 52096 55056 59582 61504 63426 65472 71114 73408 75702 78144 84568 89373 92256 100936 106671 110112 119164 123008 126852 130944 142228 146816 151404 156288 169136 178746 184512 201872 213342 220224 238328 253704 284456 302808 327701 338272 357492 369024 391127 403744 426684 440448 476656 507408 568912 605616 655402 676544 714984 782254 807488 853368 923521 953312 983103 1014816 1102267 1137824 1173381 1211232 1310804 1353088 1429968 1564508 1614976 1706736 1847042 1906624 1966206 2029632 2204534 2275648 2346762 2422464 2621608 2770563 2859936 3129016 3306801 3413472 3694084 3813248 3932412 4059264 4409068 4551296 4693524 4844928 5243216 5541126 5719872 6258032 6613602 6826944 7388168 7864824 8818136 9387048 10158731 10486432 11082252 11439744 12124937 12516064 13227204 13653888 14776336 15729648 17636272 18774096 20317462 20972864 22164504 24249874 25032128 26454408 28629151 29552672 30476193 31459296 34170277 35272544 36374811 37548192 40634924 41945728 44329008 48499748 50064256 52908816 57258302 59105344 60952386 62918592 68340554 70545088 72749622 75096384 81269848 85887453 88658016 96999496 102510831 105817632 114516604 118210688 121904772 125837184 136681108 141090176 145499244 150192768 162539696 171774906 177316032 193998992 205021662 211635264 229033208 243809544 273362216 290998488 314920661 325079392 343549812 354632064 375873047 387997984 410043324 423270528 458066416 487619088 546724432 581996976 629841322 650158784 687099624 751746094 775995968 820086648 887503681 916132832 944761983 975238176 1059278587 1093448864 1127619141 1163993952 1259682644 1300317568 1374199248 1503492188 1551991936 1640173296 1775007362 1832265664 1889523966 1950476352 2118557174 2186897728 2255238282 2327987904 2519365288 2662511043 2748398496 3006984376 3177835761 3280346592 3550014724 3664531328 3779047932 3900952704 4237114348 4373795456 4510476564 4655975808 5038730576 5325022086 5496796992 6013968752 6355671522 6560693184 7100029448 7558095864 8474228696 9020953128 9762540491 10077461152 10650044172 10993593984 11652064457 12027937504 12711343044 13121386368 14200058896 15116191728 16948457392 18041906256 19525080982 20154922304 21300088344 23304128914 24055875008 25422686088 28400117792 29287621473 30232383456 32837636197 33896914784 34956193371 36083812512 39050161964 40309844608 42600176688 46608257828 48111750016 50845372176 56800235584 58575242946 60464766912 65675272394 67793829568 69912386742 72167625024 78100323928 85200353376 93216515656 98512908591 101690744352 113600471168 117150485892 120929533824 131350544788 135587659136 139824773484 144335250048 156200647856 170400706752 186433031312 197025817182 203381488704 234300971784 262701089576 279649546968 312401295712 340801413504 361213998167 372866062624 394051634364 406762977408 468601943568 525402179152 559299093936 624802591424 722427996334 745732125248 788103268728 937203887136 1050804358304 1083641994501 1118598187872 1249605182848 1444855992668 1491464250496 1576206537456 1874407774272 2101608716608 2167283989002 2237196375744 2889711985336 3152413074912 3748815548544 4203217433216 4334567978004 4474392751488 5779423970672 6304826149824 8669135956008 11558847941344 12609652299648 17338271912016 23117695882688 34676543824032 46235391765376 69353087648064 138706175296128
• Sum of all divisors σ(n): 426555569161440
• Sum of proper divisors (its aliquot sum) s(n): 287849393865312
• 138706175296128 is an abundant number, because the sum of its proper divisors (287849393865312) is greater than itself. Its abundance is 149143218569184

Bases of 138706175296128

• Binary: 11111100010011100001100010011101000001010000000₂
• Hexadecimal: 0x7E270C4E8280
• Base-36: 1D60QJHF9C

Squares and roots of 138706175296128

• 138706175296128 squared (138706175296128²) is 19239403065280189468491792384
• 138706175296128 cubed (138706175296128³) is 2668624014165616335365071487404308695089152
• The square root of 138706175296128 is 11777358.5873967513
• The cube root of 138706175296128 is 51764.4891223573

Scales and comparisons

• 138,706,175,296,128 seconds is equal to 4,410,427 years, 17 weeks, 9 hours, 48 minutes, 48 seconds.
• To count from 1 to 138,706,175,296,128 would take you about eleven million, twenty-six thousand and sixty-eight 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 138706175296128 cubic inches would be around 4313.7 feet tall.

Recreational maths with 138706175296128

• 138706175296128 backwards is 821692571607831
• 138706175296128 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138706175296128's digits is 66
• More coming soon!