972099993968800
972,099,993,968,800 is an even composite number composed of five prime numbers multiplied together.
972099993968800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 972099993968800:
25 × 52 × 172 × 29 × 120412
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 29 × 12041 × 12041)See below for interesting mathematical facts about the number 972099993968800 from the Numbermatics database.
Names of 972099993968800
- Cardinal: 972099993968800 can be written as Nine hundred seventy-two trillion, ninety-nine billion, nine hundred ninety-three million, nine hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 9.720999939688 × 1014
Factors of 972099993968800
Divisors of 972099993968800
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 68 80 85 100 116 136 145 160 170 200 232 272 289 290 340 400 425 464 493 544 578 580 680 725 800 850 928 986 1156 1160 1360 1445 1450 1700 1972 2312 2320 2465 2720 2890 2900 3400 3944 4624 4640 4930 5780 5800 6800 7225 7888 8381 9248 9860 11560 11600 12041 12325 13600 14450 15776 16762 19720 23120 23200 24082 24650 28900 33524 39440 41905 46240 48164 49300 57800 60205 67048 78880 83810 96328 98600 115600 120410 134096 167620 192656 197200 204697 209525 231200 240820 268192 301025 335240 349189 385312 394400 409394 419050 481640 602050 670480 698378 818788 838100 963280 1023485 1204100 1340960 1396756 1637576 1676200 1745945 1926560 2046970 2408200 2793512 3275152 3352400 3479849 3491890 4093940 4816400 5117425 5587024 5936213 6550304 6704800 6959698 6983780 8187880 8729725 9632800 10234850 11174048 11872426 13919396 13967560 16375760 17399245 17459450 20469700 23744852 27838792 27935120 29681065 32751520 34798490 34918900 40939400 47489704 55677584 55870240 59362130 69596980 69837800 81878800 86996225 94979408 100915621 111355168 118724260 139193960 139675600 144985681 148405325 163757600 173992450 189958816 201831242 237448520 278387920 279351200 289971362 296810650 347984900 403662484 474897040 504578105 556775840 579942724 593621300 695969800 724928405 807324968 949794080 1009156210 1159885448 1187242600 1391939600 1449856810 1614649936 2018312420 2319770896 2374485200 2464756577 2522890525 2783879200 2899713620 3229299872 3624642025 4036624840 4204584749 4639541792 4748970400 4929513154 5045781050 5799427240 7249284050 8073249680 8409169498 9859026308 10091562100 11598854480 12323782885 14498568100 16146499360 16818338996 19718052616 20183124200 21022923745 23197708960 24647565770 28997136200 33636677992 39436105232 40366248400 41900861809 42045847490 49295131540 57994272400 61618914425 67273355984 71477940733 78872210464 80732496800 83801723618 84091694980 98590263080 105114618725 115988544800 123237828850 134546711968 142955881466 167603447236 168183389960 197180526160 209504309045 210229237450 246475657700 285911762932 335206894472 336366779920 357389703665 394361052320 419008618090 420458474900 492951315400 571823525864 670413788944 672733559840 714779407330 838017236180 840916949800 985902630800 1047521545225 1143647051728 1215124992461 1340827577888 1429558814660 1676034472360 1681833899600 1786948518325 1971805261600 2095043090450 2287294103456 2430249984922 2859117629320 3352068944720 3363667799200 3573897036650 4190086180900 4860499969844 5718235258640 6075624962305 6704137889440 7147794073300 8380172361800 9720999939688 11436470517280 12151249924610 14295588146600 16760344723600 19441999879376 24302499849220 28591176293200 30378124811525 33520689447200 38883999758752 48604999698440 57182352586400 60756249623050 97209999396880 121512499246100 194419998793760 243024998492200 486049996984400 972099993968800
- Sum of all divisors σ(n): 2608092893304990
- Sum of proper divisors (its aliquot sum) s(n): 1635992899336190
- 972099993968800 is an abundant number, because the sum of its proper divisors (1635992899336190) is greater than itself. Its abundance is 663892905367390
Bases of 972099993968800
- Binary: 110111010000011110101010101101001110100000101000002
- Hexadecimal: 0x3741EAAD3A0A0
- Base-36: 9KKWKLJ44G
Squares and roots of 972099993968800
- 972099993968800 squared (9720999939688002) is 944978398274140996375373440000
- 972099993968800 cubed (9720999939688003) is 918613495262938746905501343684847708672000000
-
The
square root of 972099993968800 is 31178518.1490204887 -
The
cube root of 972099993968800 is 99061.2141899749
Scales and comparisons
How big is 972099993968800?- 972,099,993,968,800 seconds is equal to 30,909,772 years, 47 weeks, 14 hours, 26 minutes, 40 seconds.
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To count from 1 to 972,099,993,968,800 would take you about seventy-seven million, two hundred seventy-four thousand, four hundred thirty-two 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 972099993968800 cubic inches would be around 8255.1 feet tall.
Recreational maths with 972099993968800
- 972099993968800 backwards is 008869399990279
- The number of decimal digits it has is: 15
- The sum of 972099993968800's digits is 88
- More coming soon!
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