13145752521972

Names of 13145752521972

• Cardinal: 13145752521972 can be written as Thirteen trillion, one hundred forty-five billion, seven hundred fifty-two million, five hundred twenty-one thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 1.3145752521972 × 10¹³

Factors of 13145752521972

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 167

Divisors of 13145752521972

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 41 42 51 54 63 68 81 82 84 97 102 108 119 123 126 153 162 164 189 194 204 238 243 246 252 287 289 291 306 324 357 369 378 388 459 476 486 492 567 574 578 582 612 679 697 714 738 756 861 867 873 918 972 1071 1107 1134 1148 1156 1164 1358 1377 1394 1428 1476 1649 1681 1701 1722 1734 1746 1836 2023 2037 2091 2142 2214 2268 2583 2601 2619 2716 2754 2788 3213 3298 3321 3362 3402 3444 3468 3492 3977 4046 4074 4131 4182 4284 4428 4879 4947 5043 5166 5202 5238 5508 6069 6111 6273 6426 6596 6642 6724 6804 7749 7803 7857 7954 8092 8148 8262 8364 9639 9758 9894 9963 10086 10332 10404 10476 11543 11767 11849 11931 12138 12222 12546 12852 13284 14637 14841 15129 15498 15606 15714 15908 16524 18207 18333 18819 19278 19516 19788 19926 20172 23086 23247 23409 23534 23571 23698 23862 24276 24444 25092 27839 28033 28577 28917 29274 29682 30258 30996 31212 31428 34629 35301 35547 35793 36414 36666 37638 38556 39852 43911 44523 45387 46172 46494 46818 47068 47142 47396 47724 54621 54999 55678 56066 56457 57154 57834 58548 59364 60516 67609 68921 69258 69741 70227 70602 71094 71586 72828 73332 75276 82943 83517 84099 85731 87822 89046 90774 92988 93636 94284 103887 105903 106641 107379 109242 109998 111356 112132 112914 114308 115668 131733 133569 135218 136161 137842 138516 139482 140454 141204 142188 143172 163057 163863 164997 165886 167034 168198 169371 171462 175644 178092 181548 196231 200039 202827 206763 207774 211806 213282 214758 218484 219996 225828 248829 250551 252297 257193 263466 267138 270436 272322 275684 278964 280908 311661 317709 319923 322137 326114 327726 329994 331772 334068 336396 338742 342924 392462 395199 400078 400707 405654 408483 413526 415548 423612 426564 429516 473263 482447 485809 489171 491589 497658 501102 504594 514386 526932 534276 544644 588693 600117 608481 620289 623322 635418 639846 644274 652228 655452 659988 677484 746487 751653 756891 771579 784924 790398 800156 801414 811308 816966 827052 934983 946526 953127 959769 964894 966411 971618 978342 983178 995316 1002204 1009188 1028772 1141399 1149353 1171657 1177386 1185597 1200234 1216962 1240578 1246644 1270836 1279692 1288548 1419789 1447341 1457427 1467513 1492974 1503306 1513782 1543158 1580796 1602828 1633932 1766079 1800351 1825443 1860867 1869966 1893052 1906254 1919538 1929788 1932822 1943236 1956684 1966356 2239461 2254959 2270673 2282798 2298706 2314737 2343314 2354772 2371194 2400468 2433924 2481156 2771969 2804949 2839578 2859381 2879307 2894682 2914854 2935026 2985948 3006612 3027564 3086316 3400663 3424197 3448059 3514971 3532158 3600702 3650886 3721734 3739932 3812508 3839076 3865644 4259367 4342023 4372281 4402539 4478922 4509918 4541346 4565596 4597412 4629474 4686628 4742388 5298237 5401053 5476329 5543938 5582601 5609898 5679156 5718762 5758614 5789364 5829708 5870052 6685337 6718383 6764877 6801326 6812019 6848394 6896118 6944211 7029942 7064316 7201404 7301772 7443468 8045471 8201599 8315907 8518734 8684046 8744562 8805078 8957844 9019836 9082692 9258948 10201989 10272591 10344177 10544913 10596474 10802106 10952658 11087876 11165202 11219796 11437524 11517228 12778101 13026069 13116843 13207617 13370674 13436766 13529754 13602652 13624038 13696788 13792236 13888422 14059884 15894711 16090942 16203159 16403198 16428987 16631814 16747803 17037468 17368092 17489124 17610156 19403783 19918169 20056011 20155149 20403978 20545182 20688354 21089826 21192948 21604212 21905316 22330404 24136413 24604797 24947721 25556202 26052138 26233686 26415234 26741348 26873532 27059508 27248076 27776844 30605967 30817773 31032531 31634739 31789422 32181884 32406318 32806396 32857974 33263628 33495606 38334303 38807566 39078207 39350529 39622851 39836338 40112022 40310298 40807956 41090364 41376708 42179652 46797359 47123473 47684133 48272826 48609477 49209594 49895442 51112404 52104276 52467372 52830468 58211349 59754507 60168033 61211934 61635546 62065062 63269478 63578844 64812636 65715948 66991212 72409239 73814391 74843163 76668606 77615132 78156414 78701058 79245702 79672676 80224044 80620596 91817901 92453319 93097593 93594718 94246946 94904217 95368266 96545652 97218954 98419188 99790884 113650729 115002909 116422698 117234621 118051587 119509014 120336066 122423868 123271092 124130124 126538956 139427183 140392077 141370419 144818478 147628782 149686326 153337212 156312828 157402116 158491404 174634047 179263521 180504099 183635802 184906638 186195186 187189436 188493892 189808434 190736532 194437908 217227717 221443173 224529489 227301458 230005818 232845396 234469242 236103174 239018028 240672132 275453703 277359957 278854366 279292779 280784154 282740838 284712651 289636956 295257564 299372652 329864311 340952187 349268094 358527042 361008198 367271604 369813276 372390372 379616868 418281549 421176231 424111257 434455434 442886346 449058978 454602916 460011636 468938484 472206348 523902141 537790563 541512297 550907406 554719914 557708732 558585558 561568308 565481676 569425302 651683151 659728622 664329519 673588467 681904374 698536188 717054084 722016396 795555103 826361109 836563098 842352462 848222514 868910868 885772692 898117956 989592933 1022856561 1047804282 1075581126 1083024594 1101814812 1109439828 1117171116 1138850604 1254844647 1263528693 1272333771 1303366302 1319457244 1328659038 1347176934 1363808748 1571706423 1591110206 1613371689 1624536891 1652722218 1673126196 1684704924 1696445028 1932062393 1955049453 1979185866 1992988557 2045713122 2095608564 2151162252 2166049188 2386665309 2509689294 2527057386 2544667542 2606732604 2657318076 2694353868 2968778799 3068569683 3143412846 3182220412 3226743378 3249073782 3305444436 3764533941 3790586079 3817001313 3864124786 3910098906 3958371732 3985977114 4091426244 4715119269 4773330618 4840115067 5019378588 5054114772 5089335084 5796187179 5937557598 6137139366 6286825692 6453486756 6498147564 7159995927 7529067882 7581172158 7634002626 7728249572 7820197812 7971954228 8906336397 9205709049 9430238538 9546661236 9680230134 11293601823 11371758237 11451003939 11592374358 11875115196 12274278732 13524436751 14319991854 15058135764 15162344316 15268005252 17388561537 17812672794 18411418098 18860477076 19360460268 21479987781 22587203646 22743516474 22902007878 23184748716 26719009191 27048873502 27617127147 28639983708 33880805469 34777123074 35625345588 36822836196 40573310253 42959975562 45174407292 45487032948 45804015756 52165684611 53438018382 54097747004 55234254294 64439963343 67761610938 69554246148 80157027573 81146620506 85919951124 104331369222 106876036764 110468508588 121719930759 128879926686 135523221876 156497053833 160314055146 162293241012 193319890029 208662738444 243439861518 257759853372 312994107666 320628110292 365159792277 386639780058 469491161499 486879723036 625988215332 730319584554 773279560116 938982322998 1095479376831 1460639169108 1877964645996 2190958753662 3286438130493 4381917507324 6572876260986 13145752521972
• Sum of all divisors σ(n): 43324059507456
• Sum of proper divisors (its aliquot sum) s(n): 30178306985484
• 13145752521972 is an abundant number, because the sum of its proper divisors (30178306985484) is greater than itself. Its abundance is 17032554463512

Bases of 13145752521972

• Binary: 10111111010010111011111010001100110011110100₂
• Hexadecimal: 0xBF4BBE8CCF4
• Base-36: 4NR2PMZ90

Squares and roots of 13145752521972

• 13145752521972 squared (13145752521972²) is 172810809368933198342768784
• 13145752521972 cubed (13145752521972³) is 2271728133085676117901648833177275722048
• The square root of 13145752521972 is 3625707.1754310221
• The cube root of 13145752521972 is 23600.8956149937

Scales and comparisons

• 13,145,752,521,972 seconds is equal to 417,994 years, 13 weeks, 6 days, 10 hours, 46 minutes, 12 seconds.
• To count from 1 to 13,145,752,521,972 would take you about one million, forty-four thousand, nine hundred eighty-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 13145752521972 cubic inches would be around 1966.7 feet tall.

Recreational maths with 13145752521972

• 13145752521972 backwards is 27912525754131
• 13145752521972 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13145752521972's digits is 54
• More coming soon!