137956287672

Names of 137956287672

• Cardinal: 137956287672 can be written as One hundred thirty-seven billion, nine hundred fifty-six million, two hundred eighty-seven thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 1.37956287672 × 10¹¹

Factors of 137956287672

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 206

Divisors of 137956287672

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 29 36 42 46 53 54 56 58 63 69 72 84 87 89 92 106 108 116 126 138 159 161 168 174 178 184 189 203 207 212 216 232 252 261 267 276 318 322 348 356 371 378 406 414 424 477 483 504 522 534 552 609 621 623 636 644 667 696 712 742 756 783 801 812 828 841 954 966 1044 1068 1113 1218 1219 1242 1246 1272 1288 1334 1431 1449 1484 1512 1537 1566 1602 1624 1656 1682 1827 1869 1908 1932 2001 2047 2088 2136 2226 2403 2436 2438 2484 2492 2523 2581 2668 2862 2898 2968 3074 3132 3204 3339 3364 3654 3657 3738 3816 3864 4002 4094 4347 4452 4611 4669 4717 4806 4872 4876 4968 4984 5046 5162 5336 5481 5607 5724 5796 5887 6003 6141 6148 6264 6408 6678 6728 7308 7314 7476 7569 7743 8004 8188 8533 8694 8904 9222 9338 9434 9612 9752 10017 10092 10324 10759 10962 10971 11214 11448 11592 11774 12006 12282 12296 13356 13833 14007 14151 14329 14616 14628 14952 15138 15486 16008 16376 16821 17066 17388 17661 18009 18067 18423 18444 18676 18868 19224 19343 20034 20184 20648 21518 21924 21942 22428 22707 23229 23548 24012 24564 25599 26712 27666 28014 28302 28658 29256 30276 30972 32277 32913 33019 33642 34132 34776 35322 35351 36018 36134 36846 36888 37352 37736 38686 40068 41499 42021 42453 42987 43036 43848 43884 44573 44856 45414 46458 47096 48024 49128 51198 52983 54201 55269 55332 56028 56604 57316 58029 59363 60552 61944 64554 65826 66038 67284 68264 69687 70644 70702 72036 72268 73692 74849 76797 77372 80136 82998 84042 84906 85974 86072 87768 89146 90828 92916 96831 99057 102396 105966 106053 108402 108491 110538 110664 112056 113208 114632 116058 118726 126063 127359 128961 129108 131652 132076 133719 134568 135401 136793 139374 141288 141404 144072 144536 147384 149698 153594 154744 158949 162603 165996 168084 169812 171948 174087 178089 178292 181656 185832 193662 198114 204792 211932 212106 216804 216982 221076 224547 230391 232116 237452 247457 252126 254718 257922 258216 263304 264152 267438 270802 273586 278748 282808 290493 297171 299396 307188 312011 317898 318159 325206 325473 331992 336168 339624 343896 348174 356178 356584 386883 387324 396228 401157 406203 410379 415541 423864 424212 433608 433964 442152 449094 460782 464232 474904 487809 494914 504252 509436 515844 522261 523943 534267 534876 541604 547172 557496 580986 594342 598792 614376 624022 635796 636318 650412 650946 673641 696348 712356 742371 759437 773766 774648 792456 802314 812406 820758 831082 848424 867928 891513 898188 921564 936033 954477 957551 975618 976419 989828 1008504 1018872 1025179 1031688 1044522 1047886 1068534 1069752 1083208 1094344 1161972 1188684 1203471 1218609 1231137 1246623 1248044 1271592 1272636 1300824 1301892 1347282 1392696 1424712 1484742 1518874 1547532 1571829 1602801 1604628 1624812 1641516 1662164 1721527 1783026 1796376 1843128 1872066 1908954 1915102 1951236 1952838 1979656 2020923 2050358 2089044 2095772 2137068 2227113 2278311 2323944 2377368 2406942 2437218 2462274 2493246 2496088 2545272 2603784 2694564 2808099 2872653 2929257 2969484 3037748 3075537 3095064 3143658 3146239 3205602 3209256 3249624 3283032 3324328 3443054 3566052 3655827 3693411 3739869 3744132 3817908 3830204 3902472 3905676 3966997 4041846 4100716 4178088 4191544 4274136 4454226 4556622 4715487 4813884 4874436 4924548 4986492 5164581 5389128 5616198 5745306 5858514 5938968 6075496 6151074 6287316 6292478 6411204 6681339 6834933 6886108 7132104 7176253 7311654 7386822 7479738 7488264 7635816 7660408 7811352 7933994 8083692 8201432 8424297 8617959 8908452 9113244 9226611 9430974 9438717 9627768 9748872 9849096 9972984 10329162 11219607 11232396 11490612 11717028 11900991 12050689 12302148 12574632 12584956 12822408 13362678 13669866 13772216 14146461 14352506 14623308 14773644 14959476 15493743 15867988 16167384 16848594 17235918 17816904 18226488 18453222 18861948 18877434 20504799 20658324 21528759 22023673 22439214 22464792 22981224 23434056 23801982 24101378 24604296 25169912 25853877 26725356 27339732 27679833 27768979 28292922 28316151 28705012 29246616 29547288 29918952 30987486 31735976 33697188 34471836 35702973 36152067 36906444 37723896 37754868 41009598 41316648 43057518 44047346 44878428 46481229 47603964 48202756 51707754 53450712 54679464 55359666 55537958 56585844 56632302 57410024 61974972 64586277 66071019 67394376 68943672 71405946 72304134 73812888 75509736 82019196 83306937 84948453 86115036 88094692 89756856 91240931 92962458 95207928 96405512 103415508 107108919 108456201 110719332 111075916 113171688 113264604 123949944 129172554 132142038 142811892 144608268 164038392 166613874 169896906 172230072 176189384 182481862 185924916 193758831 198213057 206831016 214217838 216912402 221438664 222151832 226529208 249920811 258345108 264284076 273722793 285623784 289216536 325368603 333227748 339793812 364963724 371849832 387517662 396426114 428435676 433824804 499841622 516690216 528568152 547445586 594639171 638686517 650737206 666455496 679587624 729927448 749762433 775035324 792852228 821168379 856871352 867649608 999683244 1094891172 1189278342 1277373034 1301474412 1499524866 1550070648 1585704456 1642336758 1916059551 1999366488 2189782344 2378556684 2463505137 2554746068 2602948824 2999049732 3284673516 3832119102 4757113368 4927010274 5109492136 5748178653 5998099464 6569347032 7664238204 9854020548 11496357306 15328476408 17244535959 19708041096 22992714612 34489071918 45985429224 68978143836 137956287672
• Sum of all divisors σ(n): 487648512000
• Sum of proper divisors (its aliquot sum) s(n): 349692224328
• 137956287672 is an abundant number, because the sum of its proper divisors (349692224328) is greater than itself. Its abundance is 211735936656

Bases of 137956287672

• Binary: 10000000011110110101011110010010111000₂
• Hexadecimal: 0x201ED5E4B8
• Base-36: 1RDJM0U0

Squares and roots of 137956287672

• 137956287672 squared (137956287672²) is 19031937308239619179584
• 137956287672 cubed (137956287672³) is 2625575418250974239446418933288448
• The square root of 137956287672 is 371424.6729445959
• The cube root of 137956287672 is 5167.1035667743

Scales and comparisons

• 137,956,287,672 seconds is equal to 4,386 years, 30 weeks, 2 days, 7 hours, 1 minute, 12 seconds.
• To count from 1 to 137,956,287,672 would take you about eight thousand, seven hundred seventy-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 137956287672 cubic inches would be around 430.6 feet tall.

Recreational maths with 137956287672

• 137956287672 backwards is 276782659731
• 137956287672 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137956287672's digits is 63
• More coming soon!