137210431008

Names of 137210431008

• Cardinal: 137210431008 can be written as One hundred thirty-seven billion, two hundred ten million, four hundred thirty-one thousand and eight.

Scientific notation

• Scientific notation: 1.37210431008 × 10¹¹

Factors of 137210431008

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 393

Divisors of 137210431008

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 32 34 38 42 43 48 51 56 57 61 68 76 84 86 96 102 112 114 119 122 129 133 136 152 168 172 183 204 224 228 238 241 244 258 266 272 301 304 323 336 344 357 366 399 408 427 456 476 482 488 516 532 544 602 608 646 672 688 714 723 731 732 798 816 817 854 903 912 952 964 969 976 1032 1037 1064 1159 1204 1281 1292 1376 1428 1446 1462 1464 1596 1632 1634 1687 1708 1806 1824 1904 1928 1938 1952 2064 2074 2128 2193 2261 2318 2408 2451 2562 2584 2623 2856 2892 2924 2928 3111 3192 3268 3374 3416 3477 3612 3808 3856 3876 4097 4128 4148 4256 4386 4522 4579 4636 4816 4902 5061 5117 5124 5168 5246 5712 5719 5784 5848 5856 6222 6384 6536 6748 6783 6832 6954 7224 7259 7712 7752 7869 8113 8194 8296 8772 9044 9158 9272 9632 9804 10122 10234 10248 10336 10363 10492 11424 11438 11568 11696 12291 12444 12768 13072 13496 13566 13664 13737 13889 13908 14448 14518 14701 15351 15504 15738 16226 16388 16592 17157 17544 18088 18316 18361 18544 19608 19703 20244 20468 20496 20726 20984 21777 22876 23136 23392 24339 24582 24888 26144 26992 27132 27474 27778 27816 28679 28896 29036 29402 30702 31008 31089 31476 32053 32452 32776 33184 34314 35088 36176 36632 36722 37088 39216 39406 40488 40936 40992 41452 41667 41968 43554 44103 44591 45752 48678 49164 49776 49837 53984 54264 54948 55083 55556 55632 57358 58072 58804 59109 61404 62178 62952 64106 64904 65552 68628 70176 72352 72541 73264 73444 77843 78432 78812 80976 81872 82904 83334 83936 86037 87108 88206 89182 91504 96159 97223 97356 98328 99552 99674 102907 108528 109896 110166 111112 111264 114716 116144 117608 118218 122808 124356 125904 128212 129808 131104 133773 137256 137921 145082 146528 146888 149511 155686 157624 161952 163744 165808 166668 172074 174216 176171 176412 178364 183008 192318 194446 194712 196656 196897 199348 205814 217056 217623 219792 220332 222224 229432 232288 233529 235216 236436 245616 248712 249917 251808 256424 259616 267546 274512 275842 279319 290164 291669 293776 299022 308721 311372 312137 315248 331616 333336 344148 348432 348859 352342 352824 356728 384636 388892 389424 393312 393794 398696 411628 413763 435246 439584 440664 444448 458864 467058 470432 472872 491232 497424 499834 512848 528513 535092 544901 549024 551684 558638 580328 583338 587552 590691 598044 617442 622744 624274 630496 632143 666672 688296 696864 697718 704684 705648 713456 749751 769272 777784 778848 787588 797392 823256 827526 837957 847229 870492 881328 917728 934116 936411 945744 994848 999668 1025696 1046577 1057026 1070184 1089802 1103368 1117276 1160656 1166676 1181382 1196088 1233197 1234884 1245488 1248548 1264286 1333344 1376592 1378279 1395436 1409368 1411296 1426912 1499502 1538544 1555568 1575176 1594784 1634703 1646512 1655052 1675914 1694458 1740984 1749419 1762656 1868232 1872822 1891488 1896429 1955233 1999336 2093154 2114052 2140368 2179604 2206736 2234552 2321312 2333352 2362764 2392176 2466394 2469768 2490976 2497096 2528572 2541687 2753184 2756558 2790872 2818736 2999004 3077088 3111136 3150352 3269406 3293024 3310104 3347249 3351828 3388916 3481968 3498838 3699591 3736464 3745644 3792858 3910466 3998672 4134837 4186308 4228104 4280736 4359208 4413472 4425001 4469104 4666704 4725528 4748423 4784352 4932788 4939536 4994192 5057144 5083374 5248257 5513116 5581744 5637472 5865699 5930603 5998008 6300704 6538812 6620208 6694498 6703656 6777832 6963936 6997676 7399182 7472928 7491288 7585716 7820932 7997344 8269674 8372616 8456208 8718416 8850002 8938208 9333408 9451056 9496846 9865576 9879072 9988384 10041747 10114288 10166748 10496514 10746431 11026232 11163488 11731398 11861206 11996016 12010717 13077624 13240416 13275003 13388996 13407312 13555664 13995352 14245269 14798364 14982576 15171432 15641864 16539348 16745232 16912416 17436832 17700004 17791809 18902112 18993692 19731152 20083494 20228576 20333496 20993028 21492862 22052464 23430743 23462796 23722412 23992032 24021434 26155248 26550006 26777992 26814624 27111328 27990704 28490538 29596728 29965152 30342864 31283728 32239293 33078696 33238961 33490464 35400008 35583618 36032151 37987384 39462304 40166988 40666992 41986056 42985724 44104928 46861486 46925592 47444824 48042868 52310496 53100012 53555984 55981408 56981076 59193456 60685728 62567456 64478586 66157392 66477922 70292229 70800016 71167236 72064302 75225017 75974768 80333976 81333984 83972112 84075019 85971448 93722972 93851184 94889648 96085736 99716883 106200024 107111968 113962152 118386912 128957172 132314784 132955844 140584458 141600032 142334472 144128604 150450034 151949536 160667952 167944224 168150038 171942896 187445944 187702368 189779296 192171472 199433766 204182189 212400048 225675051 227924304 252225057 257914344 265911688 281168916 284668944 288257208 300900068 321335904 336300076 343885792 374891888 384342944 398867532 408364378 424800096 451350102 455848608 504450114 515828688 531823376 562337832 569337888 576514416 601800136 612546567 672600152 749783776 797735064 816728756 902700204 1008900228 1031657376 1063646752 1124675664 1153028832 1203600272 1225093134 1345200304 1429275323 1595470128 1633457512 1805400408 2017800456 2249351328 2407200544 2450186268 2690400608 2858550646 3190940256 3266915024 3610800816 4035600912 4287825969 4900372536 5717101292 6533830048 7221601632 8071201824 8575651938 9800745072 11434202584 17151303876 19601490144 22868405168 34302607752 45736810336 68605215504 137210431008
• Sum of all divisors σ(n): 479129333760
• Sum of proper divisors (its aliquot sum) s(n): 341918902752
• 137210431008 is an abundant number, because the sum of its proper divisors (341918902752) is greater than itself. Its abundance is 204708471744

Bases of 137210431008

• Binary: 1111111110010011000010000011000100000₂
• Hexadecimal: 0x1FF2610620
• Base-36: 1R17JQ5C

Squares and roots of 137210431008

• 137210431008 squared (137210431008²) is 18826702377401127896064
• 137210431008 cubed (137210431008³) is 2583219947662547037524273666752512
• The square root of 137210431008 is 370419.2638187165
• The cube root of 137210431008 is 5157.7748028183

Scales and comparisons

• 137,210,431,008 seconds is equal to 4,362 years, 45 weeks, 16 hours, 36 minutes, 48 seconds.
• To count from 1 to 137,210,431,008 would take you about eight thousand, seven hundred twenty-five 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 137210431008 cubic inches would be around 429.8 feet tall.

Recreational maths with 137210431008

• 137210431008 backwards is 800134012731
• The number of decimal digits it has is: 12
• The sum of 137210431008's digits is 30
• More coming soon!