9975813120

Names of 9975813120

• Cardinal: 9975813120 can be written as Nine billion, nine hundred seventy-five million, eight hundred thirteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 9.97581312 × 10⁹

Factors of 9975813120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 91

Divisors of 9975813120

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 61 63 64 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 122 126 128 130 135 140 144 156 160 168 169 180 182 183 189 192 195 208 210 216 224 234 240 244 252 256 260 270 273 280 288 305 312 315 320 336 338 351 360 364 366 378 384 390 416 420 427 432 448 455 468 480 488 504 507 512 520 540 546 549 560 576 585 610 624 630 640 672 676 702 720 728 732 756 768 780 793 819 832 840 845 854 864 896 910 915 936 945 960 976 1008 1014 1024 1040 1080 1092 1098 1120 1152 1170 1183 1220 1248 1260 1280 1281 1344 1352 1365 1404 1440 1456 1464 1512 1521 1536 1560 1586 1638 1647 1664 1680 1690 1708 1728 1755 1792 1820 1830 1872 1890 1920 1952 2016 2028 2080 2135 2160 2184 2196 2240 2304 2340 2366 2379 2440 2457 2496 2520 2535 2560 2562 2688 2704 2730 2745 2808 2880 2912 2928 3024 3042 3072 3120 3172 3276 3294 3328 3360 3380 3416 3456 3510 3549 3584 3640 3660 3744 3780 3840 3843 3904 3965 4032 4056 4095 4160 4270 4320 4368 4392 4480 4563 4608 4680 4732 4758 4880 4914 4992 5040 5070 5120 5124 5376 5408 5460 5490 5551 5616 5760 5824 5856 5915 6048 6084 6240 6344 6405 6552 6588 6656 6720 6760 6832 6912 7020 7098 7137 7168 7280 7320 7488 7560 7605 7680 7686 7808 7930 8064 8112 8190 8235 8320 8540 8640 8736 8784 8960 9126 9216 9360 9464 9516 9760 9828 9984 10080 10140 10248 10309 10647 10752 10816 10920 10980 11102 11232 11520 11529 11648 11712 11830 11895 12096 12168 12285 12480 12688 12810 13104 13176 13312 13440 13520 13664 13824 14040 14196 14274 14560 14640 14976 15120 15210 15360 15372 15616 15860 16128 16224 16380 16470 16640 16653 17080 17280 17472 17568 17745 17920 18252 18720 18928 19032 19215 19520 19656 19968 20160 20280 20496 20618 21294 21411 21504 21632 21840 21960 22204 22464 22815 23040 23058 23296 23424 23660 23790 24192 24336 24570 24960 25376 25620 26208 26352 26880 27040 27328 27648 27755 28080 28392 28548 29120 29280 29952 30240 30420 30744 30927 31232 31720 31941 32256 32448 32760 32940 33280 33306 34160 34560 34944 35136 35490 35685 35840 36504 37440 37856 38064 38430 39040 39312 39936 40320 40560 40992 41236 42588 42822 43264 43680 43920 44408 44928 45630 46080 46116 46592 46848 47320 47580 48384 48672 49140 49920 49959 50752 51240 51545 52416 52704 53235 53760 54080 54656 55510 56160 56784 57096 57645 58240 58560 59904 60480 60840 61488 61854 62464 63440 63882 64512 64896 65520 65880 66560 66612 68320 69120 69888 70272 70980 71370 72163 73008 74880 75712 76128 76860 78080 78624 80640 81120 81984 82472 83265 85176 85644 86528 87360 87840 88816 89856 91260 92232 92781 93184 93696 94640 95160 96768 97344 98280 99840 99918 101504 102480 103090 104832 105408 106470 107055 107520 108160 109312 111020 112320 113568 114192 115290 116480 117120 119808 120960 121680 122976 123708 126880 127764 129792 131040 131760 133224 136640 138240 139776 140544 141960 142740 144326 146016 149760 149877 151424 152256 153720 154635 156160 157248 159705 161280 162240 163968 164944 166530 170352 171288 173056 174720 175680 177632 179712 182520 184464 185562 187392 189280 190320 193536 194688 196560 199680 199836 203008 204960 206180 209664 210816 212940 214110 216320 216489 218624 222040 224640 227136 228384 230580 232960 234240 241920 243360 245952 247416 249795 253760 255528 259584 262080 263520 266448 273280 278343 279552 281088 283920 285480 288652 292032 299520 299754 302848 304512 307440 309270 312320 314496 319410 322560 324480 327936 329888 333060 340704 342576 349440 351360 355264 359424 360815 365040 368928 371124 378560 380640 389376 393120 399672 406016 409920 412360 419328 421632 425880 428220 432640 432978 437248 444080 449280 454272 456768 461160 463905 465920 468480 483840 486720 491904 494832 499590 507520 511056 519168 524160 527040 532896 546560 556686 562176 567840 570960 577304 584064 599040 599508 605696 609024 614880 618540 628992 638820 648960 649467 655872 659776 666120 681408 685152 698880 702720 710528 721630 730080 737856 742248 749385 757120 761280 778752 786240 799344 812032 819840 824720 838656 843264 851760 856440 865280 865956 888160 898560 908544 913536 922320 927810 936960 967680 973440 983808 989664 999180 1015040 1022112 1048320 1054080 1065792 1082445 1093120 1113372 1135680 1141920 1154608 1168128 1199016 1211392 1218048 1229760 1237080 1257984 1277640 1297920 1298934 1311744 1319552 1332240 1362816 1370304 1391715 1397760 1405440 1421056 1443260 1460160 1475712 1484496 1498770 1514240 1522560 1557504 1572480 1598688 1639680 1649440 1686528 1703520 1712880 1731912 1776320 1797120 1817088 1827072 1844640 1855620 1946880 1948401 1967616 1979328 1998360 2030080 2044224 2096640 2108160 2131584 2164890 2186240 2226744 2271360 2283840 2309216 2336256 2398032 2436096 2459520 2474160 2515968 2555280 2595840 2597868 2639104 2664480 2725632 2740608 2783430 2810880 2842112 2886520 2920320 2951424 2968992 2997540 3028480 3045120 3144960 3197376 3247335 3279360 3298880 3407040 3425760 3463824 3552640 3634176 3654144 3689280 3711240 3893760 3896802 3935232 3958656 3996720 4060160 4088448 4193280 4216320 4263168 4329780 4453488 4542720 4567680 4618432 4672512 4796064 4919040 4948320 5110560 5195736 5278208 5328960 5451264 5481216 5566860 5684224 5773040 5840640 5902848 5937984 5995080 6056960 6090240 6289920 6394752 6494670 6558720 6597760 6814080 6851520 6927648 7105280 7308288 7378560 7422480 7787520 7793604 7917312 7993440 8176896 8432640 8526336 8659560 8906976 9085440 9135360 9236864 9592128 9742005 9838080 9896640 10221120 10391472 10556416 10657920 10902528 10962432 11133720 11546080 11681280 11805696 11875968 11990160 12180480 12579840 12789504 12989340 13195520 13628160 13703040 13855296 14210560 14757120 14844960 15587208 15834624 15986880 16353792 17052672 17319120 17813952 18170880 18270720 18473728 19184256 19484010 19676160 19793280 20442240 20782944 21315840 21924864 22267440 23092160 23362560 23751936 23980320 25579008 25978680 26391040 27256320 27406080 27710592 28421120 29514240 29689920 31174416 31669248 31973760 32707584 34638240 35627904 36541440 36947456 38368512 38968020 39586560 40884480 41565888 42631680 44534880 46184320 47503872 47960640 51158016 51957360 52782080 54512640 54812160 55421184 59028480 59379840 62348832 63947520 69276480 71255808 73894912 76737024 77936040 79173120 81768960 83131776 85263360 89069760 92368640 95007744 95921280 103914720 109624320 110842368 118759680 124697664 127895040 138552960 142511616 153474048 155872080 158346240 163537920 166263552 178139520 184737280 191842560 207829440 221684736 237519360 249395328 255790080 277105920 285023232 311744160 332527104 356279040 369474560 383685120 415658880 475038720 498790656 554211840 623488320 665054208 712558080 767370240 831317760 997581312 1108423680 1246976640 1425116160 1662635520 1995162624 2493953280 3325271040 4987906560 9975813120
• Sum of all divisors σ(n): 44592503040
• Sum of proper divisors (its aliquot sum) s(n): 34616689920
• 9975813120 is an abundant number, because the sum of its proper divisors (34616689920) is greater than itself. Its abundance is 24640876800

Bases of 9975813120

• Binary: 1001010010100110101101010000000000₂
• Hexadecimal: 0x2529AD400
• Base-36: 4KZCAO0

Squares and roots of 9975813120

• 9975813120 squared (9975813120²) is 99516847405164134400
• 9975813120 cubed (9975813120³) is 992761472005474327700963328000
• The square root of 9975813120 is 99878.9923857865
• The cube root of 9975813120 is 2152.6963193083

Scales and comparisons

• 9,975,813,120 seconds is equal to 317 years, 10 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 9,975,813,120 would take you about six hundred thirty-four 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 9975813120 cubic inches would be around 179.4 feet tall.

Recreational maths with 9975813120

• 9975813120 backwards is 0213185799
• 9975813120 is a Harshad number.
• The number of decimal digits it has is: 10
• The sum of 9975813120's digits is 45
• More coming soon!