138367137465216

Names of 138367137465216

• Cardinal: 138367137465216 can be written as One hundred thirty-eight trillion, three hundred sixty-seven billion, one hundred thirty-seven million, four hundred sixty-five thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.38367137465216 × 10¹⁴

Factors of 138367137465216

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 327

Divisors of 138367137465216

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 121 128 132 144 176 192 198 216 242 264 288 297 311 352 363 384 396 432 484 528 576 594 622 704 726 792 864 933 968 1056 1089 1152 1188 1244 1331 1408 1452 1584 1728 1866 1936 2112 2178 2376 2488 2662 2799 2904 3168 3267 3421 3456 3732 3872 3993 4224 4356 4752 4976 5324 5598 5808 6336 6534 6842 7464 7744 7986 8397 8712 9504 9952 10263 10648 11196 11616 11979 12672 13068 13684 14928 15488 15972 16794 17424 19008 19904 20526 21296 22392 23232 23958 26136 27368 29856 30789 31944 33588 34848 35937 37631 38016 39808 41052 42592 44784 46464 47916 52272 54736 59712 61578 63888 67176 69696 71874 75262 82104 85184 89568 92367 95832 96721 104544 109472 112893 119424 123156 127776 134352 139392 143748 150524 164208 170368 179136 184734 191664 193442 209088 218944 225786 246312 255552 268704 287496 290163 301048 328416 338679 358272 369468 383328 386884 413941 418176 437888 451572 492624 511104 537408 574992 580326 602096 656832 677358 738936 766656 773768 827882 870489 903144 985248 1016037 1063931 1074816 1149984 1160652 1204192 1241823 1313664 1354716 1477872 1533312 1547536 1655764 1740978 1806288 1970496 2032074 2127862 2299968 2321304 2408384 2483646 2611467 2709432 2955744 3095072 3191793 3311528 3481956 3612576 3725469 3940992 4064148 4255724 4599936 4642608 4816768 4967292 5222934 5418864 5911488 6190144 6383586 6623056 6963912 7225152 7450938 8128296 8511448 9285216 9575379 9934584 10445868 10837728 11176407 11703241 11822976 12380288 12767172 13246112 13927824 14450304 14901876 16256592 17022896 18570432 19150758 19869168 20891736 21675456 22352814 23406482 25534344 26492224 27855648 28726137 29803752 30080231 32513184 34045792 35109723 37140864 38301516 39738336 41783472 43350912 44705628 46812964 51068688 52984448 55711296 57452274 59607504 60160462 65026368 68091584 70219446 76603032 79476672 83566944 89411256 90240693 93625928 102137376 105329169 111422592 114904548 119215008 120320924 128735651 130052736 136183168 140438892 153206064 158953344 167133888 178822512 180481386 187251856 204274752 210658338 229809096 238430016 240641848 257471302 270722079 280877784 306412128 315987507 330882541 334267776 357645024 360962772 374503712 386206953 408549504 421316676 459618192 476860032 481283696 514942604 541444158 561755568 612824256 631975014 661765082 715290048 721925544 749007424 772413906 812166237 842633352 919236384 962567392 992647623 1029885208 1082888316 1123511136 1158620859 1225648512 1263950028 1323530164 1430580096 1443851088 1498014848 1544827812 1624332474 1685266704 1838472768 1925134784 1985295246 2059770416 2165776632 2247022272 2317241718 2527900056 2647060328 2887702176 2977942869 3089655624 3248664948 3370533408 3475862577 3639707951 3676945536 3850269568 3970590492 4119540832 4331553264 4494044544 4634483436 5055800112 5294120656 5775404352 5955885738 6179311248 6497329896 6741066816 6951725154 7279415902 7941180984 8239081664 8663106528 8933828607 9268966872 10111600224 10588241312 10919123853 11550808704 11911771476 12358622496 12994659792 13482133632 13903450308 14558831804 15882361968 16478163328 17326213056 17867657214 18537933744 20223200448 21176482624 21838247706 23823542952 24717244992 25989319584 27806900616 29117663608 31764723936 32757371559 34652426112 35735314428 37075867488 40036787461 40446400896 42352965248 43676495412 47647085904 49434489984 51978639168 55613801232 58235327216 63529447872 65514743118 71470628856 74151734976 80073574922 87352990824 95294171808 98272114677 103957278336 111227602464 116470654432 120110362383 127058895744 131029486236 142941257712 148303469952 160147149844 174705981648 190588343616 196544229354 222455204928 232941308864 240220724766 262058972472 285882515424 320294299688 349411963296 360331087149 381176687232 393088458708 444910409856 465882617728 480441449532 524117944944 571765030848 640588599376 698823926592 720662174298 786176917416 960882899064 1048235889888 1080993261447 1143530061696 1281177198752 1397647853184 1441324348596 1572353834832 1921765798128 2096471779776 2161986522894 2562354397504 2882648697192 3144707669664 3843531596256 4192943559552 4323973045788 5124708795008 5765297394384 6289415339328 7687063192512 8647946091576 11530594788768 12578830678656 15374126385024 17295892183152 23061189577536 34591784366304 46122379155072 69183568732608 138367137465216
• Sum of all divisors σ(n): 450631047859200
• Sum of proper divisors (its aliquot sum) s(n): 312263910393984
• 138367137465216 is an abundant number, because the sum of its proper divisors (312263910393984) is greater than itself. Its abundance is 173896772928768

Bases of 138367137465216

• Binary: 11111011101100000011100000100111100001110000000₂
• Hexadecimal: 0x7DD81C13C380
• Base-36: 1D1OZH42O0

Squares and roots of 138367137465216

• 138367137465216 squared (138367137465216²) is 19145464730317981229609926656
• 138367137465216 cubed (138367137465216³) is 2649103150175352682340475133884915511197696
• The square root of 138367137465216 is 11762956.1533322057
• The cube root of 138367137465216 is 51722.2789402843

Scales and comparisons

• 138,367,137,465,216 seconds is equal to 4,399,646 years, 50 weeks, 4 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,367,137,465,216 would take you about ten million, nine hundred ninety-nine thousand, one hundred seventeen 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 138367137465216 cubic inches would be around 4310.2 feet tall.

Recreational maths with 138367137465216

• 138367137465216 backwards is 612564731763831
• The number of decimal digits it has is: 15
• The sum of 138367137465216's digits is 63
• More coming soon!