30948871324800

Names of 30948871324800

• Cardinal: 30948871324800 can be written as Thirty trillion, nine hundred forty-eight billion, eight hundred seventy-one million, three hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 3.09488713248 × 10¹³

Factors of 30948871324800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 524364

Divisors of 30948871324800

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 43 44 48 50 52 55 60 64 65 66 75 78 80 86 88 96 100 104 110 120 128 129 130 132 143 150 156 160 165 172 176 192 195 200 208 215 220 240 258 260 264 275 286 300 312 320 325 330 344 352 384 390 400 416 429 430 440 473 480 516 520 528 550 559 572 600 624 640 645 650 660 688 704 715 780 800 825 832 858 860 880 946 960 975 1032 1040 1056 1075 1100 1118 1144 1200 1248 1290 1300 1320 1376 1408 1419 1430 1560 1600 1650 1664 1677 1716 1720 1760 1892 1920 1950 2064 2080 2112 2145 2150 2200 2236 2288 2365 2400 2496 2580 2600 2640 2752 2795 2838 2860 3120 3200 3225 3300 3354 3432 3440 3520 3575 3784 3900 4128 4160 4224 4290 4300 4400 4472 4576 4730 4800 4992 5160 5200 5280 5504 5590 5676 5720 6149 6240 6450 6600 6708 6864 6880 7040 7095 7150 7568 7800 8256 8320 8385 8580 8600 8800 8944 9152 9460 9600 10320 10400 10560 10725 11180 11352 11440 11825 12298 12480 12900 13200 13416 13728 13760 13975 14190 14300 15136 15600 16512 16770 17160 17200 17600 17888 18304 18447 18920 20640 20800 21120 21450 22360 22704 22880 23650 24596 24960 25800 26400 26832 27456 27520 27950 28380 28600 30272 30745 31200 33540 34320 34400 35200 35475 35776 36894 37840 41280 41600 41925 42900 44720 45408 45760 47300 49192 51600 52800 53664 54912 55900 56760 57200 60544 61490 62400 67080 68640 68800 70950 71552 73788 75680 82560 83850 85800 89440 90816 91520 92235 94600 98384 103200 105600 107328 111800 113520 114400 122980 124800 134160 137280 137600 141900 147576 151360 153725 167700 171600 178880 181632 184470 189200 196768 206400 214656 223600 227040 228800 245960 268320 274560 283800 295152 302720 307450 335400 343200 357760 368940 378400 393536 412800 447200 454080 457600 461175 491920 524287 536640 567600 590304 614900 670800 686400 737880 756800 787072 894400 908160 922350 983840 1048574 1073280 1135200 1180608 1229800 1341600 1372800 1475760 1513600 1572861 1788800 1844700 1967680 2097148 2270400 2361216 2459600 2621435 2683200 2951520 3145722 3689400 3935360 4194296 4540800 4919200 5242870 5366400 5767157 5903040 6291444 6815731 7378800 7864305 8388592 9838400 10485740 11534314 11806080 12582888 13107175 13631462 14757600 15728610 16777184 17301471 19676800 20447193 20971480 22544341 23068628 25165776 26214350 27262924 28835785 29515200 31457220 33554368 34078655 34602942 39321525 40894386 41942960 45088682 46137256 50331552 52428700 54525848 57671570 59030400 62914440 67108736 67633023 68157310 69205884 74973041 78643050 81788772 83885920 86507355 90177364 92274512 100663104 102235965 104857400 109051696 112721705 115343140 125828880 135266046 136314620 138411768 144178925 149946082 157286100 163577544 167771840 170393275 173014710 180354728 184549024 201326208 204471930 209714800 218103392 224919123 225443410 230686280 247987751 251657760 270532092 272629240 276823536 288357850 293076433 299892164 314572200 327155088 335543680 338165115 340786550 346029420 360709456 369098048 374865205 408943860 419429600 432536775 436206784 449838246 450886820 461372560 495975502 503315520 511179825 541064184 545258480 553647072 563608525 576715700 586152866 599784328 629144400 654310176 676330230 681573100 692058840 721418912 738196096 743963253 749730410 817887720 838859200 865073550 872413568 879229299 899676492 901773640 922745120 991951004 1006631040 1022359650 1082128368 1090516960 1107294144 1124595615 1127217050 1153431400 1172305732 1199568656 1239938755 1258288800 1308620352 1352660460 1363146200 1384117680 1442837824 1465382165 1487926506 1499460820 1635775440 1677718400 1690825575 1730147100 1758458598 1799352984 1803547280 1845490240 1874326025 1983902008 2044719300 2164256736 2181033920 2214588288 2249191230 2254434100 2306862800 2344611464 2399137312 2479877510 2516577600 2617240704 2705320920 2726292400 2768235360 2885675648 2930764330 2975853012 2998921640 3223840763 3271550880 3381651150 3460294200 3516917196 3598705968 3607094560 3690980480 3719816265 3748652050 3967804016 4089438600 4328513472 4362067840 4396146495 4498382460 4508868200 4613725600 4689222928 4798274624 4959755020 5033155200 5410641840 5452584800 5536470720 5622978075 5861528660 5951706024 5997843280 6199693775 6447681526 6543101760 6763302300 6920588400 7033834392 7197411936 7214189120 7326910825 7439632530 7497304100 7935608032 8178877200 8657026944 8792292990 8996764920 9017736400 9227451200 9378445856 9596549248 9671522289 9919510040 10821283680 10905169600 11072941440 11245956150 11723057320 11903412048 11995686560 12399387550 12895363052 13086203520 13526604600 13841176800 14067668784 14394823872 14428378240 14653821650 14879265060 14994608200 15871216064 16119203815 16357754400 17584585980 17993529840 18035472800 18454902400 18599081325 18756891712 19343044578 19839020080 21642567360 21810339200 21980732475 22491912300 23446114640 23806824096 23991373120 24798775100 25790726104 27053209200 27682353600 28135337568 28789647744 29307643300 29758530120 29989216400 31742432128 32238407630 32715508800 35169171960 35987059680 36070945600 37198162650 37513783424 38686089156 39678040160 43285134720 43961464950 44983824600 46892229280 47613648192 47982746240 48357611445 49597550200 51581452208 54106418400 55364707200 56270675136 58615286600 59517060240 59978432800 64476815260 65431017600 70338343920 71974119360 72141891200 74396325300 77372178312 79356080320 80596019075 87922929900 89967649200 93784458560 95227296384 96715222890 99195100400 103162904416 108212836800 112541350272 117230573200 119034120480 119956865600 128953630520 140676687840 143948238720 148792650600 154744356624 158712160640 161192038150 175845859800 179935298400 187568917120 193430445780 198390200800 206325808832 216425673600 234461146400 238068240960 239913731200 241788057225 257907261040 281353375680 297585301200 309488713248 322384076300 351691719600 359870596800 386860891560 396780401600 412651617664 468922292800 476136481920 483576114450 515814522080 562706751360 595170602400 618977426496 644768152600 703383439200 719741193600 773721783120 793560803200 937844585600 967152228900 1031629044160 1190341204800 1237954852992 1289536305200 1406766878400 1547443566240 1934304457800 2063258088320 2380682409600 2579072610400 2813533756800 3094887132480 3868608915600 5158145220800 6189774264960 7737217831200 10316290441600 15474435662400 30948871324800
• Sum of all divisors σ(n): 122544476651520
• Sum of proper divisors (its aliquot sum) s(n): 91595605326720
• 30948871324800 is an abundant number, because the sum of its proper divisors (91595605326720) is greater than itself. Its abundance is 60646734001920

Bases of 30948871324800

• Binary: 111000010010111011000011110110100010010000000₂
• Hexadecimal: 0x1C25D87B4480
• Base-36: AYXPQWS5C

Squares and roots of 30948871324800

• 30948871324800 squared (30948871324800²) is 957832636279027707095040000
• 30948871324800 cubed (30948871324800³) is 29643839010893588775738376964308992000000
• The square root of 30948871324800 is 5563170.9774911647
• The cube root of 30948871324800 is 31396.5266300137

Scales and comparisons

• 30,948,871,324,800 seconds is equal to 984,078 years, 19 weeks, 4 days, 5 hours, 20 minutes.
• To count from 1 to 30,948,871,324,800 would take you about two million, four hundred sixty thousand, one hundred ninety-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 30948871324800 cubic inches would be around 2616.4 feet tall.

Recreational maths with 30948871324800

• 30948871324800 backwards is 00842317884903
• The number of decimal digits it has is: 14
• The sum of 30948871324800's digits is 57
• More coming soon!