90137309328

Names of 90137309328

• Cardinal: 90137309328 can be written as Ninety billion, one hundred thirty-seven million, three hundred nine thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 9.0137309328 × 10¹⁰

Factors of 90137309328

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 258

Divisors of 90137309328

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 43 44 48 54 57 66 71 72 76 81 86 88 99 108 109 114 129 132 142 144 152 162 171 172 176 198 209 213 216 218 228 258 264 284 297 304 324 327 342 344 387 396 418 426 432 436 456 473 513 516 528 568 594 627 639 648 654 684 688 774 781 792 817 836 852 872 891 912 946 981 1026 1032 1136 1161 1188 1199 1254 1278 1296 1308 1349 1368 1419 1539 1548 1562 1584 1634 1672 1704 1744 1782 1881 1892 1917 1962 2052 2064 2071 2322 2343 2376 2398 2451 2508 2556 2616 2698 2736 2838 2943 3053 3078 3096 3124 3268 3344 3408 3483 3564 3597 3762 3784 3834 3924 4047 4104 4142 4257 4644 4686 4687 4752 4796 4902 5016 5112 5232 5396 5643 5676 5751 5886 6106 6156 6192 6213 6248 6536 6966 7029 7128 7194 7353 7524 7568 7668 7739 7848 8094 8208 8284 8514 8829 8987 9159 9288 9372 9374 9592 9804 10032 10224 10791 10792 11286 11352 11502 11772 12141 12212 12312 12426 12496 12771 13072 13932 14058 14061 14256 14388 14706 14839 15048 15336 15478 15696 16188 16568 16929 17028 17658 17974 18318 18576 18639 18744 18748 19184 19608 21087 21582 21584 22059 22572 22704 22781 23004 23217 23544 24282 24424 24624 24852 25542 26961 27477 27864 28116 28122 28776 29412 29678 30096 30672 30956 32373 32376 33136 33583 33858 34056 35316 35948 36423 36636 37278 37488 37496 38313 39216 42174 42183 43164 44118 44517 45144 45562 46008 46434 47088 48564 48848 49704 51084 51557 53922 54954 55728 55917 56232 56244 57552 58007 58824 59356 61912 63261 64746 64752 66177 67166 67716 68112 68343 69651 70632 71896 72846 73272 74556 74992 76626 80883 82431 84348 84366 85129 86328 88236 89034 89053 90288 91124 92016 92868 97119 97128 99408 100749 102168 103114 107844 109269 109908 111834 112464 112488 116014 117648 118712 123824 126522 126549 129492 132354 133551 134332 135432 136686 139302 141264 143792 145692 146544 147041 149112 153252 154671 161766 164862 167751 168696 168732 170258 172656 174021 176472 178068 178106 182248 185736 194238 194256 201498 204336 205029 206228 208953 215688 218538 219816 223668 224976 232028 237424 242649 247293 253044 253098 255387 258984 264708 267102 267159 268664 270864 273372 278604 291384 294082 298224 302247 306504 309342 323532 329724 332777 335502 337392 337464 340516 348042 352944 356136 356212 364496 371472 379647 388476 400653 402996 410058 412456 417906 431376 437076 439632 441123 447336 464013 464056 485298 494586 506088 506196 510774 517968 522063 529416 534204 534318 537328 546744 557208 582768 588164 604494 613008 615087 618684 626859 638077 647064 659448 665554 671004 674928 681032 696084 712272 712424 727947 759294 766161 776952 801306 801477 805992 820116 824912 835812 874152 882246 894672 906741 928026 928112 970596 979583 989172 998331 1012176 1012392 1021548 1044126 1058832 1068408 1068636 1093488 1114416 1176328 1201959 1208988 1230174 1237368 1253718 1276154 1294128 1318896 1323369 1331108 1342008 1362064 1392039 1392168 1424848 1455894 1518588 1532322 1553904 1566189 1602612 1602954 1611984 1617451 1640232 1671624 1748304 1764492 1813482 1845261 1856052 1914231 1941192 1959166 1978344 1996662 2024784 2043096 2088252 2136816 2137272 2298483 2352656 2403918 2404431 2417976 2460348 2474736 2507436 2552308 2646738 2662216 2684016 2720223 2784078 2784336 2911788 2938749 2994993 3037176 3064644 3132378 3205224 3205908 3234902 3280464 3343248 3528984 3626964 3660547 3690522 3712104 3828462 3882384 3918332 3956688 3970107 3993324 4086192 4176117 4176504 4274544 4596966 4698567 4807836 4808862 4835952 4852353 4920696 5014872 5104616 5293476 5324432 5440446 5568156 5742693 5823576 5877498 5989986 6074352 6129288 6264756 6322763 6410448 6411816 6469804 6895449 7057968 7213293 7253928 7321094 7381044 7424208 7656924 7836664 7940214 7986648 8352234 8353008 8816247 8984979 9193932 9397134 9615672 9617724 9704706 9841392 10029744 10209232 10586952 10880892 10981641 11136312 11485386 11647152 11754996 11910321 11979972 12258576 12529512 12645526 12823632 12939608 13790898 14426586 14507856 14557059 14642188 14762088 15313848 15673328 15880428 15973296 16704468 17228079 17632494 17969958 18387864 18794268 18968289 19231344 19235448 19409412 21173904 21761784 21963282 22272624 22970772 23509992 23820642 23959944 25059024 25291052 25879216 26448741 26954937 27581796 28853172 29114118 29284376 29524176 30627696 31760856 32944923 33408936 34456158 35264988 35939916 36775728 37588536 37936578 38470896 38818824 43523568 43671177 43926564 45941544 47019984 47641284 47919888 50582104 51684237 52897482 53909874 55163592 56904867 57706344 58228236 58568752 63521712 65889846 66817872 68912316 69550393 70529976 71879832 75177072 75873156 77637648 79346223 87342354 87853128 91883088 95282568 98834769 101164208 103368474 105794964 107819748 110327184 113809734 115412688 116456472 131013531 131779692 137824632 139100786 141059952 143759664 151746312 158692446 170714601 174684708 175706256 190565136 197669538 206736948 208651179 211589928 215639496 227619468 232912944 262027062 263559384 275649264 278201572 296504307 303492624 317384892 341429202 349369416 395339076 413473896 417302358 423179856 431278992 455238936 512143803 524054124 527118768 556403144 593008614 625953537 634769784 682858404 698738832 790678152 826947792 834604716 910477872 1024287606 1048108248 1112806288 1186017228 1251907074 1269539568 1365716808 1581356304 1669209432 1877860611 2048575212 2096216496 2372034456 2503814148 2731433616 3338418864 3755721222 4097150424 4744068912 5007628296 5633581833 7511442444 8194300848 10015256592 11267163666 15022884888 22534327332 30045769776 45068654664 90137309328
• Sum of all divisors σ(n): 313715635200
• Sum of proper divisors (its aliquot sum) s(n): 223578325872
• 90137309328 is an abundant number, because the sum of its proper divisors (223578325872) is greater than itself. Its abundance is 133441016544

Bases of 90137309328

• Binary: 1010011111100100110100011000010010000₂
• Hexadecimal: 0x14FC9A3090
• Base-36: 15EPFD00

Squares and roots of 90137309328

• 90137309328 squared (90137309328²) is 8124734532891555811584
• 90137309328 cubed (90137309328³) is 732341709799129756467923093655552
• The square root of 90137309328 is 300228.7616601713
• The cube root of 90137309328 is 4483.6826206565

Scales and comparisons

• 90,137,309,328 seconds is equal to 2,866 years, 4 weeks, 3 days, 21 hours, 28 minutes, 48 seconds.
• To count from 1 to 90,137,309,328 would take you about five thousand, seven hundred thirty-two 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 90137309328 cubic inches would be around 373.6 feet tall.

Recreational maths with 90137309328

• 90137309328 backwards is 82390373109
• The number of decimal digits it has is: 11
• The sum of 90137309328's digits is 45
• More coming soon!