137397117528

Names of 137397117528

• Cardinal: 137397117528 can be written as One hundred thirty-seven billion, three hundred ninety-seven million, one hundred seventeen thousand, five hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37397117528 × 10¹¹

Factors of 137397117528

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 74

Divisors of 137397117528

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 41 44 51 66 68 72 82 88 99 102 121 123 132 136 153 164 187 198 204 242 246 264 289 306 328 363 369 374 396 408 451 484 492 561 578 612 697 726 738 748 792 867 902 968 984 1089 1122 1156 1224 1331 1353 1394 1452 1476 1496 1683 1734 1804 2057 2091 2178 2244 2312 2601 2662 2706 2788 2904 2952 3179 3366 3468 3608 3993 4059 4114 4182 4356 4488 4961 5202 5324 5412 5576 6171 6273 6358 6732 6936 7667 7986 8118 8228 8364 8712 9537 9922 10404 10648 10824 11849 11979 12342 12546 12716 13464 14641 14883 15334 15972 16236 16456 16728 18513 19074 19844 20808 22627 23001 23698 23958 24684 25092 25432 28611 29282 29766 30668 31944 32472 34969 35547 37026 38148 39688 43923 44649 45254 46002 47396 47916 49368 50184 54571 57222 58564 59532 61336 67881 69003 69938 71094 74052 76296 84337 87846 89298 90508 92004 94792 95832 104907 106641 109142 114444 117128 119064 130339 131769 135762 138006 139876 142188 148104 161051 163713 168674 175692 178596 181016 184008 203643 209814 213282 218284 228888 248897 253011 260678 263538 271524 276012 279752 284376 314721 322102 327426 337348 351384 357192 384659 391017 407286 419628 426564 436568 483153 491139 497794 506022 521356 527076 543048 552024 600281 629442 644204 654852 674696 746691 759033 769318 782034 814572 839256 853128 927707 966306 982278 995588 1012044 1042712 1054152 1153977 1173051 1200562 1258884 1288408 1309704 1433729 1449459 1493382 1518066 1538636 1564068 1629144 1800843 1855414 1932612 1964556 1991176 2024088 2240073 2307954 2346102 2401124 2517768 2737867 2783121 2867458 2898918 2986764 3036132 3077272 3128136 3461931 3601686 3710828 3865224 3929112 4231249 4301187 4480146 4615908 4692204 4802248 5402529 5475734 5566242 5734916 5797836 5973528 6072264 6603091 6923862 7203372 7421656 8213601 8349363 8462498 8602374 8960292 9231816 9384408 10204777 10805058 10951468 11132484 11469832 11595672 12693747 12903561 13206182 13847724 14406744 15771019 16427202 16698726 16924996 17204748 17920584 19809273 20409554 21610116 21902936 22264968 24640803 25387494 25807122 26412364 27695448 30614331 31542038 32854404 33397452 33849992 34409496 38081241 39618546 40819108 43220232 46543739 47313057 49281606 50774988 51614244 52824728 59427819 61228662 63084076 65708808 66794904 76162482 79237092 81638216 91842993 93087478 94626114 98563212 101549976 103228488 112252547 118855638 122457324 126168152 139631217 141939171 152324964 158474184 173481209 183685986 186174956 189252228 197126424 224505094 237711276 244914648 279262434 283878342 304649928 336757641 346962418 367371972 372349912 378504456 418893651 449010188 475422552 520443627 558524868 567756684 673515282 693924836 734743944 837787302 898020376 1010272923 1040887254 1117049736 1135513368 1347030564 1387849672 1561330881 1675574604 1908293299 2020545846 2081774508 2694061128 3122661762 3351149208 3816586598 4041091692 4163549016 5724879897 6245323524 7633173196 8082183384 11449759794 12490647048 15266346392 17174639691 22899519588 34349279382 45799039176 68698558764 137397117528
• Sum of all divisors σ(n): 445428645480
• Sum of proper divisors (its aliquot sum) s(n): 308031527952
• 137397117528 is an abundant number, because the sum of its proper divisors (308031527952) is greater than itself. Its abundance is 170634410424

Bases of 137397117528

• Binary: 1111111111101100000011010001001011000₂
• Hexadecimal: 0x1FFD81A258
• Base-36: 1R4AP2E0

Squares and roots of 137397117528

• 137397117528 squared (137397117528²) is 18877967905003044830784
• 137397117528 cubed (137397117528³) is 2593778374933515289813082120381952
• The square root of 137397117528 is 370671.1716980429
• The cube root of 137397117528 is 5160.1129405603

Scales and comparisons

• 137,397,117,528 seconds is equal to 4,368 years, 41 weeks, 5 days, 9 hours, 58 minutes, 48 seconds.
• To count from 1 to 137,397,117,528 would take you about eight thousand, seven hundred thirty-seven 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 137397117528 cubic inches would be around 430 feet tall.

Recreational maths with 137397117528

• 137397117528 backwards is 825711793731
• The number of decimal digits it has is: 12
• The sum of 137397117528's digits is 54
• More coming soon!