48135016800

Names of 48135016800

• Cardinal: 48135016800 can be written as Forty-eight billion, one hundred thirty-five million, sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 4.81350168 × 10¹⁰

Factors of 48135016800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 214

Divisors of 48135016800

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 37 39 40 41 45 48 50 52 54 60 65 72 74 75 78 80 82 90 96 100 104 108 111 113 117 120 123 130 135 144 148 150 156 160 164 180 185 195 200 205 208 216 222 225 226 234 240 246 260 270 288 296 300 312 325 328 333 339 351 360 369 370 390 400 410 416 432 444 450 452 468 480 481 492 520 533 540 555 565 585 592 600 615 624 650 656 666 675 678 702 720 738 740 780 800 820 864 888 900 904 925 936 962 975 984 999 1017 1025 1040 1066 1080 1107 1110 1130 1170 1184 1200 1230 1248 1300 1312 1332 1350 1356 1404 1440 1443 1469 1476 1480 1517 1560 1599 1640 1665 1695 1755 1776 1800 1808 1845 1850 1872 1924 1950 1968 1998 2034 2050 2080 2132 2160 2214 2220 2260 2340 2400 2405 2460 2600 2664 2665 2700 2712 2775 2808 2825 2886 2925 2938 2952 2960 3034 3051 3075 3120 3198 3280 3330 3390 3510 3552 3600 3616 3690 3700 3744 3848 3900 3936 3996 4068 4100 4181 4264 4320 4329 4407 4428 4440 4520 4551 4633 4680 4797 4810 4920 4995 5085 5200 5328 5330 5400 5424 5535 5550 5616 5650 5772 5850 5876 5904 5920 6068 6102 6150 6240 6396 6560 6660 6780 7020 7200 7215 7345 7380 7400 7585 7696 7800 7992 7995 8136 8200 8325 8362 8475 8528 8658 8775 8814 8856 8880 9040 9102 9225 9266 9360 9594 9620 9840 9990 10170 10400 10656 10660 10800 10848 11070 11100 11232 11300 11544 11700 11752 11808 12025 12136 12204 12300 12543 12792 12987 13221 13320 13325 13560 13653 13899 14040 14391 14430 14690 14760 14800 15170 15255 15392 15600 15984 15990 16272 16400 16650 16724 16950 17056 17316 17550 17628 17712 17760 18080 18204 18450 18532 18720 19188 19240 19680 19721 19980 20340 20905 21320 21600 21645 22035 22140 22200 22600 22755 23088 23165 23400 23504 23985 24050 24272 24408 24600 24975 25086 25425 25584 25974 26442 26640 26650 27120 27306 27675 27798 28080 28782 28860 29380 29520 29600 30340 30510 31200 31968 31980 32544 32800 33300 33448 33900 34632 35100 35256 35424 36075 36408 36725 36900 37064 37629 37925 38376 38480 39442 39663 39960 39975 40680 40959 41697 41810 42640 43290 44070 44280 44400 45200 45510 46176 46330 46800 47008 47970 48100 48544 48816 49200 49950 50172 50850 51168 51948 52884 53280 53300 54240 54353 54612 55350 55596 56160 57564 57720 58760 59040 59163 60229 60680 61020 62715 63960 64935 66105 66600 66896 67800 68265 69264 69495 70200 70512 71955 72150 72816 73450 73800 74128 75258 75850 76275 76752 76960 78884 79326 79920 79950 81360 81918 83394 83620 85280 86580 88140 88560 88800 90400 91020 92660 93600 95940 96200 97632 98400 98605 99900 100344 101700 103896 104525 105768 106600 108225 108706 109224 110175 110700 111192 112887 113775 115128 115440 115825 117520 118326 119925 120458 121360 122040 125091 125430 127920 129870 132210 133200 133792 135600 136530 138528 138990 140400 141024 143910 144300 145632 146900 147600 148256 150516 151700 152550 153504 157768 158652 159840 159900 162720 163059 163836 166788 167240 171421 173160 176280 177120 177489 180687 182040 185320 188145 191880 192400 197210 198315 199800 200688 203400 204795 207792 208485 209050 211536 213200 216450 217412 218448 220350 221400 222384 225774 227550 230256 230880 231650 235040 236652 239850 240916 242720 244080 250182 250860 255840 259740 264420 266400 271200 271765 273060 277980 280800 287820 288600 293800 295200 295815 301032 301145 303400 305100 313575 315536 317304 319800 324675 326118 327672 330525 333576 334480 341325 342842 346320 347475 352560 354978 359775 361374 364080 370640 376290 383760 384800 394420 396630 399600 401376 406800 409590 415584 416970 418100 423072 426400 432900 434824 436896 440700 442800 444768 451548 455100 460512 463300 473304 479700 481832 488160 489177 493025 500364 501720 514263 519480 528840 532467 542061 543530 546120 555960 564435 575640 577200 587600 591630 602064 602290 606800 610200 625455 627150 631072 634608 639600 649350 652236 655344 661050 667152 668960 682650 685684 692640 694950 705120 709956 719550 722748 728160 741280 752580 767520 788840 793260 799200 813600 815295 819180 833940 836200 857105 865800 869648 881400 885600 887445 903096 903435 910200 926600 940725 946608 959400 963664 978354 986050 991575 1000728 1003440 1023975 1028526 1038960 1042425 1057680 1064934 1084122 1087060 1092240 1111920 1128870 1151280 1154400 1175200 1183260 1204128 1204580 1213600 1220400 1250910 1254300 1269216 1279200 1298700 1304472 1310688 1322100 1334304 1358825 1365300 1371368 1389900 1419912 1439100 1445496 1467531 1479075 1505160 1505725 1542789 1577680 1586520 1626183 1630590 1638360 1667880 1672400 1714210 1731600 1739296 1762800 1774890 1806192 1806870 1820400 1853200 1881450 1893216 1918800 1927328 1956708 1972100 1983150 2001456 2006880 2047950 2057052 2077920 2084850 2115360 2129868 2168244 2174120 2184480 2223840 2228473 2257740 2302560 2366520 2409160 2440800 2445885 2501820 2508600 2571315 2597400 2608944 2644200 2662335 2710305 2717650 2730600 2742736 2779800 2822175 2839824 2878200 2890992 2935062 2958150 3010320 3011450 3085578 3127275 3155360 3173040 3252366 3261180 3276720 3335760 3344800 3428420 3463200 3525600 3549780 3612384 3613740 3640800 3706400 3762900 3837600 3913416 3944200 3966300 4002912 4076475 4095900 4114104 4169700 4259736 4285525 4336488 4348240 4437225 4456946 4515480 4517175 4628367 4733040 4818320 4891770 5003640 5017200 5142630 5194800 5217888 5288400 5324670 5420610 5435300 5461200 5485472 5559600 5644350 5679648 5756400 5781984 5870124 5916300 6020640 6022900 6171156 6254550 6346080 6504732 6522360 6553440 6671520 6685419 6856840 7099560 7227480 7337655 7525800 7713945 7826832 7888400 7932600 8130915 8152950 8191800 8228208 8339400 8519472 8571050 8672976 8696480 8874450 8913892 9030960 9034350 9256734 9466080 9636640 9783540 10007280 10034400 10285260 10389600 10576800 10649340 10841220 10870600 10922400 11119200 11142365 11288700 11512800 11740248 11832600 12045800 12229425 12342312 12509100 12856575 13009464 13044720 13311675 13370838 13551525 13713680 14199120 14454960 14675310 15051600 15427890 15653664 15776800 15865200 16261830 16305900 16383600 16456416 16678800 17038944 17142100 17345952 17748900 17827784 18061920 18068700 18513468 19567080 20014560 20056257 20570520 21298680 21682440 21741200 22284730 22577400 23141835 23480496 23665200 24091600 24458850 24684624 25018200 25713150 26018928 26089440 26623350 26741676 27103050 27427360 28398240 28909920 29350620 30103200 30855780 31730400 32523660 32611800 32767200 33357600 33427095 34284200 35497800 35655568 36137400 36688275 37026936 38569725 39134160 40112514 40654575 41141040 42597360 43364880 43482400 44569460 45154800 46283670 46960992 47330400 48183200 48917700 49369248 50036400 51426300 52037856 53246700 53483352 54206100 55711825 58701240 60168771 61711560 65047320 65223600 66854190 68568400 70995600 71311136 72274800 73376550 74053872 77139450 78268320 80225028 81309150 82282080 85194720 86729760 89138920 90309600 92567340 97835400 100072800 100281285 102852600 106493400 106966704 108412200 111423650 115709175 117402480 120337542 123423120 130094640 130447200 133708380 137136800 141991200 144549600 146753100 148107744 154278900 160450056 162618300 167135475 178277840 185134680 195670800 200562570 205705200 212986800 213933408 216824400 222847300 231418350 234804960 240675084 246846240 260189280 267416760 293506200 300843855 308557800 320900112 325236600 334270950 356555680 370269360 391341600 401125140 411410400 425973600 433648800 445694600 462836700 481350168 501406425 534833520 587012400 601687710 617115600 641800224 650473200 668541900 740538720 802250280 891389200 925673400 962700336 1002812850 1069667040 1174024800 1203375420 1234231200 1300946400 1337083800 1504219275 1604500560 1782778400 1851346800 1925400672 2005625700 2406750840 2674167600 3008438550 3209001120 3702693600 4011251400 4813501680 5348335200 6016877100 8022502800 9627003360 12033754200 16045005600 24067508400 48135016800
• Sum of all divisors σ(n): 198988513920
• Sum of proper divisors (its aliquot sum) s(n): 150853497120
• 48135016800 is an abundant number, because the sum of its proper divisors (150853497120) is greater than itself. Its abundance is 102718480320

Bases of 48135016800

• Binary: 101100110101000100100001000101100000₂
• Hexadecimal: 0xB35121160
• Base-36: M42CGO0

Squares and roots of 48135016800

• 48135016800 squared (48135016800²) is 2316979842336282240000
• 48135016800 cubed (48135016800³) is 111527863636118296871941632000000
• The square root of 48135016800 is 219396.9389029847
• The cube root of 48135016800 is 3637.6455208017

Scales and comparisons

• 48,135,016,800 seconds is equal to 1,530 years, 28 weeks, 2 days, 6 hours.
• To count from 1 to 48,135,016,800 would take you about three thousand and sixty-one 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 48135016800 cubic inches would be around 303.1 feet tall.

Recreational maths with 48135016800

• 48135016800 backwards is 00861053184
• 48135016800 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 48135016800's digits is 36
• More coming soon!