990480972000
990,480,972,000 is an even composite number composed of seven prime numbers multiplied together.
990480972000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 990480972000:
25 × 3 × 53 × 13 × 37 × 157 × 1093
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 37 × 157 × 1093)See below for interesting mathematical facts about the number 990480972000 from the Numbermatics database.
Names of 990480972000
- Cardinal: 990480972000 can be written as Nine hundred ninety billion, four hundred eighty million, nine hundred seventy-two thousand.
Scientific notation
- Scientific notation: 9.90480972 × 1011
Factors of 990480972000
Divisors of 990480972000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 65 74 75 78 80 96 100 104 111 120 125 130 148 150 156 157 160 185 195 200 208 222 240 250 260 296 300 312 314 325 370 375 390 400 416 444 471 480 481 500 520 555 592 600 624 628 650 740 750 780 785 800 888 925 942 962 975 1000 1040 1093 1110 1184 1200 1248 1256 1300 1443 1480 1500 1560 1570 1625 1776 1850 1884 1924 1950 2000 2041 2080 2186 2220 2355 2400 2405 2512 2600 2775 2886 2960 3000 3120 3140 3250 3279 3552 3700 3768 3848 3900 3925 4000 4082 4372 4440 4625 4710 4810 4875 5024 5200 5465 5550 5772 5809 5920 6000 6123 6240 6280 6500 6558 7215 7400 7536 7696 7800 7850 8164 8744 8880 9250 9420 9620 9750 10205 10400 10930 11100 11544 11618 11775 12000 12025 12246 12560 13000 13116 13875 14209 14430 14800 15072 15392 15600 15700 16328 16395 17427 17488 17760 18500 18840 19240 19500 19625 20410 21860 22200 23088 23236 23550 24050 24492 25120 26000 26232 27325 27750 28418 28860 29045 29600 30615 31200 31400 32656 32790 34854 34976 36075 37000 37680 38480 39000 39250 40441 40820 42627 43720 44400 46176 46472 47100 48100 48984 51025 52000 52464 54650 55500 56836 57720 58090 58875 60125 61230 62800 65312 65580 69708 71045 72150 74000 75360 75517 76960 78000 78500 80882 81640 81975 85254 87135 87440 88800 92944 94200 96200 97968 102050 104928 109300 111000 113672 115440 116180 117750 120250 121323 122460 125600 131160 136625 139416 142090 144300 145225 148000 151034 153075 156000 157000 161764 163280 163950 170508 171601 174270 174880 180375 185888 188400 192400 195936 202205 204100 213135 218600 222000 226551 227344 230880 232360 235500 240500 242646 244920 255125 262320 273250 278832 284180 288600 290450 302068 306150 314000 323528 326560 327900 341016 343202 348540 355225 360750 376800 377585 384800 404410 408200 409875 426270 435675 437200 444000 453102 454688 464720 471000 481000 485292 489840 510250 514803 524640 525733 546500 557664 568360 577200 580900 604136 606615 612300 628000 647056 655800 682032 686404 697080 710450 721500 726125 755170 765375 808820 816400 819750 852540 858005 871350 874400 906204 929440 942000 962000 970584 979680 1011025 1020500 1029606 1051466 1065675 1093000 1132755 1136720 1154400 1161800 1208272 1213230 1224600 1294112 1311600 1364064 1372808 1394160 1420900 1443000 1452250 1510340 1530750 1577199 1617640 1632800 1639500 1705080 1716010 1742700 1776125 1812408 1884000 1887925 1924000 1941168 2022050 2041000 2059212 2102932 2131350 2178375 2186000 2230813 2265510 2273440 2323600 2416544 2426460 2449200 2574015 2623200 2628665 2745616 2788320 2841800 2886000 2904500 3020680 3033075 3061500 3154398 3235280 3279000 3410160 3432020 3485400 3552250 3624816 3775850 3882336 4044100 4082000 4118424 4205864 4262700 4290025 4356750 4372000 4461626 4531020 4647200 4852920 4898400 5055125 5148030 5257330 5328375 5491232 5663775 5683600 5772000 5809000 6041360 6066150 6123000 6308796 6349237 6470560 6558000 6692439 6820320 6864040 6970800 7104500 7249632 7551700 7885995 8088200 8164000 8236848 8411728 8525400 8580050 8713500 8923252 9062040 9439625 9705840 10110250 10296060 10514660 10656750 11154065 11327550 11367200 11618000 12082720 12132300 12246000 12617592 12698474 12870075 13116000 13143325 13384878 13728080 13941600 14209000 15103400 15165375 15771990 16176400 16473696 16823456 17050800 17160100 17427000 17846504 18124080 18879250 19047711 19411680 20220500 20592120 21029320 21313500 21450125 22308130 22655100 23236000 24264600 24492000 25235184 25396948 25740150 26286650 26769756 27456160 28318875 28418000 30206800 30330750 31543980 31746185 32352800 33462195 34101600 34320200 34854000 35693008 36248160 37758500 38095422 39429975 40441000 41184240 42058640 42627000 42900250 44616260 45310200 48529200 50470368 50793896 51480300 52573300 53539512 55770325 56637750 56836000 60413600 60661500 63087960 63492370 64350375 65716625 66924390 68640400 69708000 71386016 75517000 76190844 78859950 80882000 82368480 82540081 84117280 85254000 85800500 89232520 90620400 95238555 97058400 101587792 102960600 105146600 107079024 111540650 113275500 121323000 126175920 126984740 128700750 131433250 133848780 137280800 151034000 152381688 157719900 158730925 161764000 165080162 167310975 170508000 171601000 178465040 181240800 190477110 197149875 203175584 205921200 210293200 214158048 223081300 226551000 242646000 247620243 252351840 253969480 257401500 262866500 267697560 278851625 302068000 304763376 315439800 317461850 330160324 334621950 343202000 356930080 380954220 394299750 411842400 412700405 420586400 446162600 453102000 476192775 485292000 495240486 507938960 514803000 525733000 535395120 557703250 609526752 630879600 634923700 660320648 669243900 686404000 761908440 788599500 793654625 825400810 836554875 892325200 906204000 952385550 990480972 1015877920 1029606000 1051466000 1070790240 1115406500 1238101215 1261759200 1269847400 1320641296 1338487800 1523816880 1577199000 1587309250 1650801620 1673109750 1784650400 1904771100 1980961944 2059212000 2063502025 2102932000 2230813000 2380963875 2476202430 2539694800 2641282592 2676975600 3047633760 3154398000 3174618500 3301603240 3346219500 3809542200 3961923888 4127004050 4461626000 4761927750 4952404860 5079389600 5353951200 6190506075 6308796000 6349237000 6603206480 6692439000 7619084400 7923847776 8254008100 8923252000 9523855500 9904809720 10317510125 12381012150 12698474000 13206412960 13384878000 15238168800 16508016200 19047711000 19809619440 20635020250 24762024300 25396948000 26769756000 30952530375 33016032400 38095422000 39619238880 41270040500 49524048600 61905060750 66032064800 76190844000 82540081000 99048097200 123810121500 165080162000 198096194400 247620243000 330160324000 495240486000 990480972000
- Sum of all divisors σ(n): 3615023962368
- Sum of proper divisors (its aliquot sum) s(n): 2624542990368
- 990480972000 is an abundant number, because the sum of its proper divisors (2624542990368) is greater than itself. Its abundance is 1634062018368
Bases of 990480972000
- Binary: 11100110100111010100010000111000111000002
- Hexadecimal: 0xE69D4438E0
- Base-36: CN0QSP9C
Squares and roots of 990480972000
- 990480972000 squared (9904809720002) is 981052555894064784000000
- 990480972000 cubed (9904809720003) is 971713889145037616287290048000000000
-
The
square root of 990480972000 is 995229.1052817939 -
The
cube root of 990480972000 is 9968.1686909513
Scales and comparisons
How big is 990480972000?- 990,480,972,000 seconds is equal to 31,494 years, 12 weeks, 3 hours, 20 minutes.
-
To count from 1 to 990,480,972,000 would take you about sixty-two thousand, nine hundred eighty-eight 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 990480972000 cubic inches would be around 830.7 feet tall.
Recreational maths with 990480972000
- 990480972000 backwards is 000279084099
- 990480972000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 990480972000's digits is 48
- More coming soon!
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