137968184412296

Names of 137968184412296

• Cardinal: 137968184412296 can be written as One hundred thirty-seven trillion, nine hundred sixty-eight billion, one hundred eighty-four million, four hundred twelve thousand, two hundred ninety-six.

Scientific notation

• Scientific notation: 1.37968184412296 × 10¹⁴

Factors of 137968184412296

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 449

Divisors of 137968184412296

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 28 29 47 49 56 58 94 98 116 167 188 196 197 203 232 329 334 376 392 394 406 658 668 788 812 1169 1316 1336 1363 1379 1421 1576 1624 2209 2303 2338 2632 2726 2758 2842 4418 4606 4676 4843 5452 5516 5684 5713 7849 8183 8836 9212 9259 9352 9541 9653 9686 10904 11032 11368 11426 15463 15698 16366 17672 18424 18518 19082 19306 19372 22852 27889 30926 31396 32732 32899 33901 37036 38164 38612 38744 39991 45704 54943 55778 61852 62792 64061 64813 65464 65798 66787 67802 74072 76328 77224 79982 108241 109886 111556 123704 128122 129626 131596 133574 135604 159964 195223 216482 219772 223112 227621 230293 237307 256244 259252 263192 267148 268511 271208 279937 319928 368903 384601 390446 432964 435173 439544 448427 453691 455242 460586 474614 512488 518504 534296 537022 559874 737806 769202 780892 808781 865928 870346 896854 907382 910484 921172 949228 954071 1074044 1119748 1310783 1366561 1475612 1538404 1546253 1561784 1593347 1612051 1617562 1740692 1793708 1814764 1820968 1842344 1879577 1898456 1908142 2148088 2239496 2582321 2621566 2733122 2951224 3046211 3076808 3092506 3138989 3186694 3224102 3235124 3481384 3587416 3629528 3759154 3816284 5164642 5243132 5466244 5494133 5661467 6092422 6185012 6277978 6373388 6448204 6470248 6678497 7518308 7632568 9175481 10329284 10486264 10698187 10823771 10932488 10988266 11153429 11322934 12184844 12370024 12555956 12620017 12746776 12896408 13157039 13356994 15036616 18076247 18350962 20658568 21323477 21396374 21647542 21976532 22306858 22645868 24369688 25111912 25240034 26314078 26713988 36152494 36701924 38012707 38458931 39630269 42646954 42792748 43295084 43953064 44613716 44841337 45291736 46749479 50480068 52628156 53427976 61606801 64228367 72304988 72673891 73403848 74887309 75766397 76025414 76917862 79260538 85293908 85585496 86590168 88340119 89227432 89682674 93498958 100960136 105256312 123213602 128456734 144609976 145347782 149774618 151532794 152050828 153835724 158521076 159329857 170587816 176680238 179365348 186997916 246427204 256913468 258224251 266088949 269212517 290695564 299549236 303065588 304101656 307671448 313889359 317042152 318659714 353360476 358730696 373995832 431247607 492854408 508717237 513826936 516448502 524211163 532177898 538425034 581391128 599098472 606131176 618380833 627778718 637319428 706720952 862495214 1017434474 1032897004 1048422326 1064355796 1076850068 1115308999 1236761666 1255557436 1274638856 1724990428 1786597229 1807569757 1862622643 2034868948 2065794008 2096844652 2107542839 2128711592 2153700136 2197225513 2230617998 2473523332 2511114872 3018733249 3449980856 3561020659 3573194458 3615139514 3725245286 4069737896 4193689304 4215085678 4394451026 4461235996 4947046664 6037466498 7122041318 7146388916 7230279028 7450490572 7488503279 7807162993 8430171356 8788902052 8922471992 12074932996 12136539797 12506180603 12652988299 14244082636 14292777832 14460558056 14752799873 14900981144 14977006558 15614325986 16860342712 17577804104 24149865992 24273079594 25012361206 25305976598 28488165272 29505599746 29954013116 31228651972 48546159188 50024722412 50611953196 52419522953 59011199492 59908026232 62457303944 84955778579 87543264221 97092318376 100049444824 101223906392 103269599111 104839045906 118022398984 169911557158 175086528442 206539198222 209678091812 339823114316 350173056884 351959654113 366936660671 413078396444 419356183624 594690450053 679646228632 700346113768 703919308226 733873321342 826156792888 1189380900106 1407838616452 1467746642684 2378761800212 2463717578791 2815677232904 2935493285368 4757523600424 4927435157582 9854870315164 17246023051537 19709740630328 34492046103074 68984092206148 137968184412296
• Sum of all divisors σ(n): 321606894876300
• Sum of proper divisors (its aliquot sum) s(n): 183638710464004
• 137968184412296 is an abundant number, because the sum of its proper divisors (183638710464004) is greater than itself. Its abundance is 45670526051708

Bases of 137968184412296

• Binary: 11111010111101100111000100111110100100010001000₂
• Hexadecimal: 0x7D7B389F4888
• Base-36: 1CWLPIRKW8

Squares and roots of 137968184412296

• 137968184412296 squared (137968184412296²) is 19035219910025316950915991616
• 137968184412296 cubed (137968184412296³) is 2626254730874981401766094577413605023310336
• The square root of 137968184412296 is 11745985.8850713761
• The cube root of 137968184412296 is 51672.5209189369

Scales and comparisons

• 137,968,184,412,296 seconds is equal to 4,386,961 years, 26 weeks, 6 hours, 4 minutes, 56 seconds.
• To count from 1 to 137,968,184,412,296 would take you about ten million, nine hundred sixty-seven thousand, four hundred three 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 137968184412296 cubic inches would be around 4306 feet tall.

Recreational maths with 137968184412296

• 137968184412296 backwards is 692214481869731
• The number of decimal digits it has is: 15
• The sum of 137968184412296's digits is 71
• More coming soon!