990478684000
990,478,684,000 is an even composite number composed of seven prime numbers multiplied together.
990478684000 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 990478684000:
25 × 53 × 13 × 17 × 43 × 71 × 367
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 43 × 71 × 367)See below for interesting mathematical facts about the number 990478684000 from the Numbermatics database.
Names of 990478684000
- Cardinal: 990478684000 can be written as Nine hundred ninety billion, four hundred seventy-eight million, six hundred eighty-four thousand.
Scientific notation
- Scientific notation: 9.90478684 × 1011
Factors of 990478684000
Divisors of 990478684000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 43 50 52 65 68 71 80 85 86 100 104 125 130 136 142 160 170 172 200 208 215 221 250 260 272 284 325 340 344 355 367 400 416 425 430 442 500 520 544 559 568 650 680 688 710 731 734 800 850 860 884 923 1000 1040 1075 1105 1118 1136 1207 1300 1360 1376 1420 1462 1468 1625 1700 1720 1768 1775 1835 1846 2000 2080 2125 2150 2210 2236 2272 2414 2600 2720 2795 2840 2924 2936 3053 3250 3400 3440 3536 3550 3655 3670 3692 4000 4250 4300 4420 4472 4615 4771 4828 5200 5375 5525 5590 5680 5848 5872 6035 6106 6239 6500 6800 6880 7072 7100 7310 7340 7384 8500 8600 8840 8875 8944 9175 9230 9503 9542 9656 10400 10750 11050 11180 11360 11696 11744 12070 12212 12478 13000 13600 13975 14200 14620 14680 14768 15265 15691 15781 17000 17200 17680 17750 17888 18275 18350 18460 19006 19084 19312 21500 22100 22360 23075 23392 23855 24140 24424 24956 26000 26057 27625 27950 28400 29240 29360 29536 30175 30530 31195 31382 31562 34000 34400 35360 35500 36550 36700 36920 38012 38168 38624 39689 43000 44200 44720 45875 46150 47515 47710 48280 48848 49912 51901 52000 52114 55250 55900 56800 58480 58720 60350 61060 62390 62764 63124 68000 69875 71000 73100 73400 73840 76024 76325 76336 78455 78905 79378 81107 86000 88400 89440 91375 91750 92300 95030 95420 96560 97696 99824 103802 104228 110500 111800 115375 116960 119275 120700 122120 124780 125528 126248 130285 139750 142000 146200 146800 147680 150875 152048 152650 152672 155975 156910 157810 158756 162214 172000 176800 182750 183500 184600 190060 190840 193120 198445 199648 205153 207604 208456 221000 223600 230750 237575 238550 241400 244240 249560 251056 252496 259505 260570 268277 279500 284000 292400 293600 301750 304096 305300 311950 313820 315620 317512 324428 338741 365500 367000 369200 380120 381625 381680 392275 394525 396890 405535 410306 415208 416912 442000 442969 447200 461500 475150 477100 482800 488480 499120 502112 504992 519010 521140 536554 559000 584800 596375 603500 610600 623900 627640 631240 635024 648856 651425 674713 677482 731000 734000 738400 760240 763250 763360 779875 784550 789050 793780 811070 820612 830416 833824 884000 885938 923000 950300 954200 965600 992225 998240 1025765 1038020 1042280 1073108 1118000 1120451 1187875 1192750 1207000 1221200 1247800 1255280 1262480 1270048 1297525 1297712 1302850 1341385 1349426 1354964 1462000 1468000 1520480 1526500 1559750 1569100 1578100 1587560 1622140 1641224 1660832 1693705 1771876 1846000 1900600 1908400 1961375 1972625 1984450 2027675 2051530 2076040 2084560 2146216 2214845 2236000 2240902 2375750 2385500 2414000 2442400 2495600 2510560 2524960 2595050 2595424 2605700 2682770 2698852 2709928 2924000 3053000 3119500 3138200 3156200 3175120 3244280 3257125 3282448 3373565 3387410 3487601 3543752 3692000 3801200 3816800 3922750 3945250 3968900 4055350 4103060 4152080 4169120 4292432 4429690 4481804 4751500 4771000 4828000 4961125 4991200 5128825 5190100 5211400 5365540 5397704 5419856 5602255 5758597 6106000 6239000 6276400 6312400 6350240 6487625 6488560 6514250 6564896 6706925 6747130 6774820 6975202 7087504 7602400 7845500 7890500 7937800 8110700 8206120 8304160 8468525 8584864 8859380 8963608 9503000 9542000 9922250 10138375 10257650 10380200 10422800 10731080 10795408 10839712 11074225 11204510 11517194 12212000 12478000 12552800 12624800 12975250 12977120 13028500 13413850 13494260 13549640 13950404 14175008 14565863 15691000 15781000 15875600 16221400 16412240 16867825 16937050 17438005 17718760 17927216 19006000 19047667 19084000 19844500 20276750 20515300 20760400 20845600 21462160 21590816 22148450 22409020 23034388 24956000 25644125 25950500 26057000 26827700 26988520 27099280 27900808 28011275 28792985 29131726 31382000 31562000 31751200 32442800 32824480 33534625 33735650 33874100 34876010 35437520 35854432 38012000 38095334 39689000 40553500 41030600 41520800 42342625 42924320 44296900 44818040 46068776 51288250 51901000 52114000 53655400 53977040 54198560 55371125 55801616 56022550 57585970 58263452 62764000 63124000 64885600 67069250 67471300 67748200 69752020 70875040 72829315 76190668 79378000 81107000 82061200 84339125 84685250 87190025 88593800 89636080 92137552 95238335 102576500 103802000 104228000 107310800 107954080 110742250 111603232 112045100 115171940 116526904 134138500 134942600 135496400 139504040 140056375 143964925 145658630 152381336 158756000 162214000 164122400 168678250 169370500 174380050 177187600 179272160 184275104 190476670 205153000 207604000 214621600 221484500 224090200 230343880 233053808 247619671 268277000 269885200 270992800 279008080 280112750 287929850 291317260 304762672 324428000 337356500 338741000 348760100 354375200 364146575 380953340 410306000 435950125 442969000 448180400 460687760 466107616 476191675 495239342 536554000 539770400 558016160 560225500 575859700 582634520 609525344 674713000 677482000 697520200 719824625 728293150 761906680 820612000 871900250 885938000 896360800 921375520 952383350 990478684 1073108000 1120451000 1151719400 1165269040 1238098355 1349426000 1354964000 1395040400 1439649250 1456586300 1523813360 1743800500 1771876000 1820732875 1904766700 1980957368 2240902000 2303438800 2330538080 2380958375 2476196710 2698852000 2790080800 2879298500 2913172600 3047626720 3487601000 3641465750 3809533400 3961914736 4481804000 4606877600 4761916750 4952393420 5758597000 5826345200 6190491775 6975202000 7282931500 7619066800 7923829472 9523833500 9904786840 11517194000 11652690400 12380983550 13950404000 14565863000 15238133600 19047667000 19809573680 23034388000 24761967100 29131726000 30952458875 38095334000 39619147360 49523934200 58263452000 61904917750 76190668000 99047868400 123809835500 198095736800 247619671000 495239342000 990478684000
- Sum of all divisors σ(n): 2887345004544
- Sum of proper divisors (its aliquot sum) s(n): 1896866320544
- 990478684000 is an abundant number, because the sum of its proper divisors (1896866320544) is greater than itself. Its abundance is 906387636544
Bases of 990478684000
- Binary: 11100110100111010010000101001111011000002
- Hexadecimal: 0xE69D214F60
- Base-36: CN0PFNTS
Squares and roots of 990478684000
- 990478684000 squared (9904786840002) is 981048023458371856000000
- 990478684000 cubed (9904786840003) is 971707155215849284713517504000000000
-
The
square root of 990478684000 is 995227.9557970627 -
The
cube root of 990478684000 is 9968.1610154927
Scales and comparisons
How big is 990478684000?- 990,478,684,000 seconds is equal to 31,494 years, 8 weeks, 1 day, 15 hours, 46 minutes, 40 seconds.
-
To count from 1 to 990,478,684,000 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 990478684000 cubic inches would be around 830.7 feet tall.
Recreational maths with 990478684000
- 990478684000 backwards is 000486874099
- The number of decimal digits it has is: 12
- The sum of 990478684000's digits is 55
- More coming soon!
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