137390921976672

Names of 137390921976672

• Cardinal: 137390921976672 can be written as One hundred thirty-seven trillion, three hundred ninety billion, nine hundred twenty-one million, nine hundred seventy-six thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 1.37390921976672 × 10¹⁴

Factors of 137390921976672

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 26580

Divisors of 137390921976672

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 41 42 48 52 56 63 72 78 82 84 91 96 104 112 117 123 126 144 156 164 168 182 208 224 234 246 252 273 287 288 312 328 336 364 369 416 468 492 504 533 546 574 624 656 672 728 738 819 861 936 984 1008 1066 1092 1148 1248 1312 1456 1476 1599 1638 1722 1872 1968 2016 2132 2184 2296 2583 2912 2952 3198 3276 3444 3731 3744 3936 4264 4368 4592 4797 5166 5904 6337 6396 6552 6888 7462 8528 8736 9184 9594 10332 11193 11808 12674 12792 13104 13776 14924 17056 19011 19188 20177 20664 22386 25348 25584 26208 27552 29848 33579 38022 38376 40354 41328 44359 44772 50696 51168 57033 59696 60531 67158 76044 76752 80708 82381 82656 88718 89544 101392 114066 119392 121062 133077 134316 141239 152088 153504 161416 164762 177436 179088 181593 202784 228132 242124 247143 259817 262301 266154 268632 282478 304176 322832 329524 354872 358176 363186 399231 423717 456264 484248 494286 519634 524602 532308 537264 564956 576667 608352 645664 659048 709744 726372 741429 779451 786903 798462 827257 847434 912528 968496 988572 1039268 1049204 1064616 1074528 1129912 1153334 1271151 1318096 1419488 1452744 1482858 1558902 1573806 1596924 1654514 1694868 1730001 1818719 1825056 1836107 1936992 1977144 2078536 2098408 2129232 2259824 2306668 2338353 2360709 2481771 2542302 2636192 2905488 2965716 3117804 3147612 3193848 3309028 3377621 3389736 3460002 3637438 3672214 3954288 4157072 4196816 4258464 4519648 4613336 4676706 4721418 4963542 5084604 5190003 5456157 5508321 5790799 5810976 5931432 6235608 6295224 6387696 6618056 6755242 6779472 6920004 7274876 7344428 7445313 7908576 8314144 8393632 9226672 9353412 9442836 9927084 10132863 10169208 10380006 10754341 10912314 11016642 11581598 11862864 12471216 12590448 12775392 13236112 13510484 13558944 13840008 14549752 14688856 14890626 16368471 16524963 17372397 18453344 18706824 18885672 19854168 20265726 20338416 20760012 21508682 21824628 22033284 23163196 23643347 23725728 24942432 25180896 26472224 27020968 27680016 29099504 29377712 29781252 30398589 32263023 32736942 33049926 34744794 37413648 37771344 39708336 40531452 40676832 41520024 43017364 43649256 44066568 46326392 47286694 52117191 54041936 55360032 58199008 58755424 59562504 60797178 64526046 65473884 66099852 69489588 70930041 74827296 75280387 75542688 79416672 81062904 83040048 86034728 87298512 88133136 92652784 94573388 96789069 104234382 108083872 119125008 121594356 127861649 129052092 130947768 132199704 138979176 141860082 150560774 162125808 166080096 172069456 174597024 176266272 185305568 189146776 193578138 208468764 212790123 225841161 238250016 243188712 255723298 258104184 261895536 264399408 277958352 283720164 301121548 324251616 344138912 378293552 383584947 387156276 416937528 425580246 451682322 486377424 511446596 516208368 523791072 528798816 555916704 567440328 602243096 677523483 756587104 767169894 774312552 833875056 851160492 895031543 903364644 972754848 1022893192 1032416736 1134880656 1150754841 1204486192 1355046966 1534339788 1548625104 1662201437 1667750112 1702320984 1790063086 1806729288 2045786384 2269761312 2301509682 2408972384 2685094629 2710093932 3068679576 3097250208 3324402874 3404641968 3580126172 3613458576 4091572768 4603019364 4986604311 5242327609 5370189258 5420187864 6137359152 6648805748 6809283936 7160252344 7226917152 8055283887 9206038728 9973208622 10484655218 10740378516 10840375728 11635410059 12274718304 13297611496 14320504688 14959812933 15726982827 16110567774 18412077456 19946417244 20969310436 21480757032 21680751456 23270820118 26595222992 28641009376 29919625866 31453965654 32221135548 34906230177 36696293263 36824154912 39892834488 41938620872 42961514064 46541640236 47180948481 53190445984 59839251732 62907931308 64442271096 68150258917 69812460354 73392586526 79785668976 83877241744 85923028128 93083280472 94361896962 104718690531 110088879789 119678503464 125815862616 128884542192 136300517834 139624920708 146785173052 159571337952 167754483488 186166560944 188723793924 204450776751 209437381062 220177759578 239357006928 251631725232 257769084384 272601035668 279249841416 293570346104 330266639367 372333121888 377447587848 408901553502 418874762124 440355519156 477051812419 478714013856 503263450464 545202071336 558499682832 587140692208 613352330253 660533278734 754895175696 817803107004 837749524248 880711038312 954103624838 1090404142672 1116999365664 1174281384416 1226704660506 1321066557468 1431155437257 1509790351392 1635606214008 1675499048496 1761422076624 1908207249676 2180808285344 2453409321012 2642133114936 2862310874514 3271212428016 3350998096992 3522844153248 3816414499352 4293466311771 4906818642024 5284266229872 5724621749028 6542424856032 7632828998704 8586932623542 9813637284048 10568532459744 11449243498056 15265657997408 17173865247084 19627274568096 22898486996112 34347730494168 45796973992224 68695460988336 137390921976672
• Sum of all divisors σ(n): 492698871310464
• Sum of proper divisors (its aliquot sum) s(n): 355307949333792
• 137390921976672 is an abundant number, because the sum of its proper divisors (355307949333792) is greater than itself. Its abundance is 217917027357120

Bases of 137390921976672

• Binary: 11111001111010011010001000110011000101101100000₂
• Hexadecimal: 0x7CF4D1198B60
• Base-36: 1CP8INM6W0

Squares and roots of 137390921976672

• 137390921976672 squared (137390921976672²) is 18876265441599973143712195584
• 137390921976672 cubed (137390921976672³) is 2593427512497811945168212880433570349416448
• The square root of 137390921976672 is 11721387.3742263121
• The cube root of 137390921976672 is 51600.3537894979

Scales and comparisons

• 137,390,921,976,672 seconds is equal to 4,368,606 years, 17 weeks, 5 days, 1 hour, 31 minutes, 12 seconds.
• To count from 1 to 137,390,921,976,672 would take you about ten million, nine hundred twenty-one thousand, five hundred fifteen 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 137390921976672 cubic inches would be around 4300 feet tall.

Recreational maths with 137390921976672

• 137390921976672 backwards is 276679129093731
• 137390921976672 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137390921976672's digits is 72
• More coming soon!