137254539376416

Names of 137254539376416

• Cardinal: 137254539376416 can be written as One hundred thirty-seven trillion, two hundred fifty-four billion, five hundred thirty-nine million, three hundred seventy-six thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.37254539376416 × 10¹⁴

Factors of 137254539376416

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10152100

Divisors of 137254539376416

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 32 33 42 44 48 56 59 62 66 77 84 88 93 96 112 118 124 132 154 168 176 177 186 217 224 231 236 248 264 308 336 341 352 354 372 413 434 462 472 496 528 616 649 651 672 682 708 744 826 868 924 944 992 1023 1056 1232 1239 1298 1302 1364 1416 1488 1652 1736 1829 1848 1888 1947 2046 2387 2464 2478 2596 2604 2728 2832 2976 3304 3472 3658 3696 3894 4092 4543 4774 4956 5192 5208 5456 5487 5664 6608 6944 7161 7316 7392 7788 8184 9086 9548 9912 10384 10416 10912 10974 12803 13216 13629 14322 14632 15576 16368 18172 19096 19824 20119 20768 20832 21948 25606 27258 28644 29264 31152 32736 36344 38192 38409 39648 40238 43896 51212 54516 57288 58528 60357 62304 72688 76384 76818 80476 87792 102424 109032 114576 120714 140833 145376 153636 160952 175584 204848 218064 229152 241428 281666 307272 321904 409696 422499 436128 482856 563332 614544 643808 844998 965712 1126664 1229088 1689996 1931424 2253328 3379992 4506656 6759984 10151987 13519968 20303974 30455961 40607948 60911922 71063909 81215896 111671857 121823844 142127818 162431792 213191727 223343714 243647688 284255636 314711597 324863584 335015571 426383454 446687428 487295376 568511272 598967233 629423194 670031142 781702999 852766908 893374856 944134791 974590752 1137022544 1197934466 1258846388 1340062284 1563405998 1705533816 1786749712 1796901699 1888269582 2202981179 2274045088 2345108997 2395868932 2517692776 2680124568 3126811996 3411067632 3461827567 3573499424 3593803398 3776539164 4192770631 4405962358 4690217994 4791737864 5035385552 5360249136 6253623992 6588639563 6608943537 6822135264 6923655134 7187606796 7553078328 8385541262 8811924716 9380435988 9583475728 10070771104 10385482701 10720498272 12507247984 12578311893 13177279126 13217887074 13847310268 14375213592 15106156656 16771082524 17623849432 18567984223 18760871976 19166951456 19765918689 20770965402 24232792969 25014495968 25156623786 26354558252 26435774148 27694620536 28750427184 30212313312 33542165048 35247698864 37135968446 37521743952 39531837378 41541930804 46120476941 48465585938 50313247572 52709116504 52871548296 55389241072 55703952669 57500854368 67084330096 70495397728 72698378907 74271936892 75043487904 79063674756 83083861608 92240953882 96931171876 100626495144 105418233008 105743096592 110778482144 111407905338 129975889561 134168660192 138361430823 145396757814 148543873784 158127349512 166167723216 184481907764 193862343752 201252990288 204247826453 210836466016 211486193184 222815810676 259951779122 276722861646 290793515628 297087747568 316254699024 332335446432 368963815528 387724687504 389927668683 402505980576 408495652906 445631621352 519903558244 553445723292 581587031256 594175495136 612743479359 632509398048 737927631056 775449375008 779855337366 816991305812 891263242704 1039807116488 1106891446584 1163174062512 1225486958718 1429734785171 1475855262112 1559710674732 1633982611624 1782526485408 2079614232976 2213782893168 2326348125024 2450973917436 2859469570342 3119421349464 3267965223248 4159228465952 4289204355513 4427565786336 4901947834872 5718939140684 6238842698928 6535930446496 8578408711026 9803895669744 11437878281368 12477685397856 17156817422052 19607791339488 22875756562736 34313634844104 45751513125472 68627269688208 137254539376416
• Sum of all divisors σ(n): 471546035896320
• Sum of proper divisors (its aliquot sum) s(n): 334291496519904
• 137254539376416 is an abundant number, because the sum of its proper divisors (334291496519904) is greater than itself. Its abundance is 197036957143488

Bases of 137254539376416

• Binary: 11111001101010100010000000100000011011100100000₂
• Hexadecimal: 0x7CD510103720
• Base-36: 1CNHV4XR1C

Squares and roots of 137254539376416

• 137254539376416 squared (137254539376416²) is 18838808579432130246137005056
• 137254539376416 cubed (137254539376416³) is 2585711993970430888957015898531856079159296
• The square root of 137254539376416 is 11715568.2481224955
• The cube root of 137254539376416 is 51583.2742518095

Scales and comparisons

• 137,254,539,376,416 seconds is equal to 4,364,269 years, 41 weeks, 2 days, 17 hours, 53 minutes, 36 seconds.
• To count from 1 to 137,254,539,376,416 would take you about ten million, nine hundred ten thousand, six hundred seventy-four 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 137254539376416 cubic inches would be around 4298.6 feet tall.

Recreational maths with 137254539376416

• 137254539376416 backwards is 614673935452731
• 137254539376416 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137254539376416's digits is 66
• More coming soon!