990759190131200
990,759,190,131,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 990759190131200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
990759190131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 990759190131200:
29 × 52 × 73 × 312 × 432 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 31 × 31 × 43 × 43 × 127)See below for interesting mathematical facts about the number 990759190131200 from the Numbermatics database.
Names of 990759190131200
- Cardinal: 990759190131200 can be written as Nine hundred ninety trillion, seven hundred fifty-nine billion, one hundred ninety million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 9.907591901312 × 1014
Factors of 990759190131200
Divisors of 990759190131200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 43 49 50 56 62 64 70 80 86 98 100 112 124 127 128 140 155 160 172 175 196 200 215 217 224 245 248 254 256 280 301 310 320 343 344 350 392 400 430 434 448 490 496 508 512 560 602 620 635 640 686 688 700 775 784 800 860 868 889 896 961 980 992 1016 1075 1085 1120 1204 1225 1240 1270 1280 1333 1372 1376 1400 1505 1519 1550 1568 1600 1715 1720 1736 1778 1792 1849 1922 1960 1984 2032 2107 2150 2170 2240 2408 2450 2480 2540 2560 2666 2744 2752 2800 3010 3038 3100 3136 3175 3200 3430 3440 3472 3556 3584 3698 3844 3920 3937 3968 4064 4214 4300 4340 4445 4480 4805 4816 4900 4960 5080 5332 5425 5461 5488 5504 5600 6020 6076 6200 6223 6272 6350 6400 6665 6727 6860 6880 6944 7112 7396 7525 7595 7688 7840 7874 7936 8128 8428 8575 8600 8680 8890 8960 9245 9331 9610 9632 9800 9920 10160 10535 10633 10664 10850 10922 10976 11008 11200 12040 12152 12400 12446 12544 12700 12800 12943 13330 13454 13720 13760 13888 14224 14749 14792 15050 15190 15376 15680 15748 15872 16256 16856 17150 17200 17360 17780 17920 18490 18662 19220 19264 19600 19685 19840 20320 21070 21266 21328 21700 21844 21952 22016 22225 22400 24025 24080 24304 24800 24892 25088 25400 25886 26660 26908 27305 27440 27520 27559 27776 28448 29498 29584 30100 30380 30752 31115 31360 31496 32512 33325 33635 33712 34300 34400 34720 35560 36980 37324 37975 38227 38440 38528 39200 39370 39680 40640 41323 42140 42532 42656 43400 43561 43688 43904 44450 44800 46225 46655 47089 48050 48160 48608 49600 49784 50800 51772 52675 53165 53320 53816 54610 54880 55040 55118 55552 56896 57319 58996 59168 60200 60760 61504 62230 62720 62992 64715 65024 65317 66650 67270 67424 68600 68800 69440 71120 73745 73960 74648 75950 76454 76880 77056 78400 78740 79360 81280 82646 84280 85064 85312 86800 87122 87376 87808 88900 89600 90601 92450 93310 94178 96100 96320 97216 98425 99200 99568 101600 103544 105350 106330 106640 107632 109220 109760 110080 110236 111104 113792 114638 117992 118336 120400 121520 122047 123008 124460 125440 125984 129430 130634 133300 134540 134848 136525 137200 137600 137795 138880 142240 147490 147920 149296 151900 152908 153760 154112 155575 156800 157480 162560 165292 168175 168560 169291 170128 170624 173600 174244 174752 175616 177800 181202 184900 186620 188356 191135 192200 192640 192913 194432 196850 198400 199136 203200 206615 207088 210700 212660 213280 215264 217805 218440 219520 220472 227584 229276 233275 234823 235445 235984 236672 240800 243040 244094 246016 248920 251968 258860 261268 265825 266600 267589 269080 269696 273050 274400 275200 275590 277760 284480 286595 289261 294980 295840 298592 303800 305816 307520 311150 313600 314960 323575 325120 326585 329623 330584 336350 337120 338582 340256 341248 347200 348488 349504 355600 362404 368725 369800 373240 376712 382270 384400 385280 385826 388864 393700 396800 398272 401233 406400 413230 414176 421400 425320 426560 430528 435610 436880 439040 440944 453005 455168 457219 458552 466550 469646 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535835148800 552879012350 557232390400 570713819200 576022784960 577702151680 619224493832 631861728400 639199477504 652244364800 658311754240 707685135808 720028481200 722127689600 743255206400 774030617290 780125346560 798999346880 808783012352 822889692800 884606419760 913142110720 921636455936 975156683200 998749183600 1010978765440 1030966899200 1105758024700 1114464780800 1141427638400 1152045569920 1238448987664 1263723456800 1278398955008 1415370271616 1440056962400 1444255379200 1548061234580 1560250693120 1597998693760 1645779385600 1769212839520 1935076543225 1950313366400 1997498367200 2021957530880 2211516049400 2282855276800 2304091139840 2476897975328 2527446913600 2830740543232 2880113924800 2888510758400 3096122469160 3195997387520 3291558771200 3538425679040 3870153086450 3900626732800 3994996734400 4043915061760 4423032098800 4565710553600 4608182279680 4953795950656 5054893827200 5661481086464 5760227849600 6192244938320 6391994775040 7076851358080 7740306172900 7801253465600 7989993468800 8846064197600 9907591901312 10109787654400 11520455699200 12384489876640 14153702716160 15480612345800 15979986937600 17692128395200 19815183802624 20219575308800 23040911398400 24768979753280 28307405432320 30961224691600 31959973875200 35384256790400 39630367605248 49537959506560 61922449383200 70768513580800 99075919013120 123844898766400 141537027161600 198151838026240 247689797532800 495379595065600 990759190131200
- Sum of all divisors σ(n): 3052158977894400
- Sum of proper divisors (its aliquot sum) s(n): 2061399787763200
- 990759190131200 is an abundant number, because the sum of its proper divisors (2061399787763200) is greater than itself. Its abundance is 1070640597632000
Bases of 990759190131200
- Binary: 111000010100010111000110011001010111110010000000002
- Hexadecimal: 0x385171995F200
- Base-36: 9R70HL5R7K
Squares and roots of 990759190131200
- 990759190131200 squared (9907591901312002) is 981603772829431311473213440000
- 990759190131200 cubed (9907591901312003) is 972532958998217789311060042576799203328000000
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The
square root of 990759190131200 is 31476327.4562201745 -
The
cube root of 990759190131200 is 99691.0192968945
Scales and comparisons
How big is 990759190131200?- 990,759,190,131,200 seconds is equal to 31,503,077 years, 32 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 990,759,190,131,200 would take you about seventy-eight million, seven hundred fifty-seven thousand, six hundred ninety-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 990759190131200 cubic inches would be around 8307.6 feet tall.
Recreational maths with 990759190131200
- 990759190131200 backwards is 002131091957099
- 990759190131200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 990759190131200's digits is 56
- More coming soon!
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The information we have on file for 990759190131200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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