137003914593

Names of 137003914593

• Cardinal: 137003914593 can be written as One hundred thirty-seven billion, three million, nine hundred fourteen thousand, five hundred ninety-three.

Scientific notation

• Scientific notation: 1.37003914593 × 10¹¹

Factors of 137003914593

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 211

Divisors of 137003914593

• Number of divisors d(n): 480
• Complete list of divisors:
  1 3 7 9 13 19 21 27 29 39 49 57 61 63 79 81 87 91 117 133 147 171 183 189 203 237 247 261 273 351 377 399 427 441 513 549 551 553 567 609 637 711 741 783 793 819 931 1027 1053 1131 1159 1197 1281 1323 1421 1501 1539 1647 1653 1659 1729 1769 1827 1911 2133 2223 2291 2349 2379 2457 2639 2793 2989 3081 3393 3477 3591 3843 3857 3871 3969 4263 4503 4819 4941 4959 4977 5187 5307 5481 5551 5733 6399 6669 6873 7137 7163 7189 7371 7917 8113 8379 8967 9243 10179 10431 10507 10773 11529 11571 11613 12103 12383 12789 13509 14457 14877 14931 15067 15561 15921 16037 16443 16653 17199 18473 19513 20007 20619 21411 21489 21567 22997 23751 24339 25137 26901 26999 27729 29783 30537 31293 31521 33611 33733 34587 34713 34839 36309 37149 38367 38857 40527 43371 43529 44631 44793 45201 46683 47763 48111 49959 50141 50323 51597 55419 56791 58539 61857 62647 64233 64467 64701 68991 71253 73017 73549 75411 80703 80997 83187 86681 89349 91561 93879 94563 100833 101199 104139 104517 105469 108927 111447 112259 115101 116571 121581 130113 130587 135603 136591 139751 140049 143289 144333 149877 150423 150969 160979 166257 170373 175617 185571 187941 193401 194103 206973 208481 213759 219051 220647 235277 236131 242109 242991 260043 268047 274683 283689 302499 303597 304703 312417 313551 316407 326781 334341 336777 349713 350987 390339 391761 406809 409773 419253 432999 436943 438529 449631 451269 452907 482937 498771 511119 526851 563823 565877 580203 582309 620919 625443 640927 657153 661941 705831 708393 728973 738283 780129 804141 824049 851067 907497 910791 914109 949221 956137 978257 980343 1003023 1010331 1049139 1052961 1126853 1175283 1190293 1220427 1229319 1257759 1298997 1310829 1315587 1353807 1358721 1448811 1459367 1496313 1533357 1580553 1646939 1691469 1697631 1816763 1862757 1876329 1922781 1985823 2117493 2125179 2132921 2186919 2214849 2340387 2412423 2472147 2655269 2722491 2732373 2742327 2847663 2868411 2934771 3030993 3058601 3069703 3147417 3158883 3380559 3525849 3570879 3687957 3773277 3932487 3946761 3961139 4061421 4076163 4346433 4378101 4486489 4600071 4940817 5074407 5092893 5450289 5628987 5768343 5957469 6352479 6375537 6398763 6644547 6847799 7021161 7416441 7965807 8226981 8332051 8542989 8605233 8804313 9092979 9175803 9209109 9476649 10141677 10712637 11063871 11319831 11797461 11840283 11883417 12717341 13039299 13134303 13459467 14822451 15278679 16350867 16886961 17305029 18586883 19057437 19126611 19196289 19933641 20543397 21410207 23897421 24680943 24996153 25815699 26412939 27527409 27627327 27727973 28429947 30425031 32137911 34518497 35392383 35520849 35650251 38152023 39402909 40378401 44467353 45836037 49052601 51915087 55760649 57588867 58324357 59800923 61630191 64230621 71692263 74988459 77447097 79238817 82582227 82881981 83183919 89021387 91275093 96413733 103555491 106950753 114456069 118208727 121135203 130108181 133402059 147157803 167281947 172766601 174973071 184890573 192691863 215076789 224965377 241629479 247746681 248645943 249551757 267064161 310666473 320852259 343368207 363405609 390324543 501845841 524919213 554671719 578075589 674896131 724888437 748655271 801192483 931999419 1030104621 1170973629 1505537523 1574757639 1691406353 1734226767 2174665311 2245965813 2403577449 2795998257 3512920887 4724272917 5074219059 6523995933 7210732347 10538762661 15222657177 19571987799 45667971531 137003914593
• Sum of all divisors σ(n): 287356608000
• Sum of proper divisors (its aliquot sum) s(n): 150352693407
• 137003914593 is an abundant number, because the sum of its proper divisors (150352693407) is greater than itself. Its abundance is 13348778814

Bases of 137003914593

• Binary: 1111111100110000100011101010101100001₂
• Hexadecimal: 0x1FE611D561
• Base-36: 1QXSLD29

Squares and roots of 137003914593

• 137003914593 squared (137003914593²) is 18770072613806038355649
• 137003914593 cubed (137003914593³) is 2571573425286290751545017755085857
• The square root of 137003914593 is 370140.3984881953
• The cube root of 137003914593 is 5155.1858354027

Scales and comparisons

• 137,003,914,593 seconds is equal to 4,356 years, 15 weeks, 4 days, 10 hours, 56 minutes, 33 seconds.
• To count from 1 to 137,003,914,593 would take you about eight thousand, seven hundred twelve 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 137003914593 cubic inches would be around 429.6 feet tall.

Recreational maths with 137003914593

• 137003914593 backwards is 395419300731
• The number of decimal digits it has is: 12
• The sum of 137003914593's digits is 45
• More coming soon!