997213240199904
997,213,240,199,904 is an even composite number composed of nine prime numbers multiplied together.
What does the number 997213240199904 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
997213240199904 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 997213240199904:
25 × 3 × 7 × 13 × 37 × 61 × 71 × 757 × 941
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 37 × 61 × 71 × 757 × 941)See below for interesting mathematical facts about the number 997213240199904 from the Numbermatics database.
Names of 997213240199904
- Cardinal: 997213240199904 can be written as Nine hundred ninety-seven trillion, two hundred thirteen billion, two hundred forty million, one hundred ninety-nine thousand, nine hundred four.
Scientific notation
- Scientific notation: 9.97213240199904 × 1014
Factors of 997213240199904
Divisors of 997213240199904
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 52 56 61 71 74 78 84 91 96 104 111 112 122 142 148 156 168 182 183 208 213 222 224 244 259 273 284 296 312 336 364 366 416 426 427 444 481 488 497 518 546 568 592 624 672 728 732 757 777 793 852 854 888 923 941 962 976 994 1036 1092 1136 1184 1248 1281 1443 1456 1464 1491 1514 1554 1586 1704 1708 1776 1846 1882 1924 1952 1988 2072 2184 2257 2271 2272 2379 2562 2627 2769 2823 2886 2912 2928 2982 3028 3108 3172 3367 3408 3416 3552 3692 3764 3848 3976 4144 4331 4368 4514 4542 4758 5124 5254 5299 5538 5551 5646 5772 5856 5964 6056 6216 6344 6461 6587 6734 6771 6816 6832 7384 7528 7696 7881 7952 8288 8662 8736 9028 9084 9516 9841 10101 10248 10508 10598 11076 11102 11292 11544 11928 12112 12233 12432 12688 12922 12993 13174 13468 13542 13664 14768 15056 15392 15762 15799 15897 15904 16653 17324 18056 18168 18389 19032 19383 19682 19761 20202 20496 21016 21196 22152 22204 22584 23088 23856 24224 24466 24864 25376 25844 25986 26348 26936 27084 28009 29341 29523 29536 30112 30317 31524 31598 31794 33306 34151 34648 34817 36112 36336 36699 36778 38064 38766 39364 39522 40404 40992 42032 42392 44304 44408 45168 46176 46177 47397 47712 48932 51688 51972 52696 53747 53872 54168 55167 56018 56303 57401 58682 59046 60634 63048 63196 63588 66612 66811 68302 68887 69296 69634 72224 72672 73398 73556 76128 77532 78728 79044 80808 84027 84064 84784 85631 88023 88608 88816 90336 90951 92354 94794 97864 102453 103376 103944 104451 105392 107494 107744 108336 110334 112036 112606 114802 117364 118092 121268 126096 126392 127176 133224 133622 136604 137774 138531 138592 139268 146796 147112 155064 157456 158088 160247 161241 161616 168054 168909 169568 171262 172203 176046 177632 181902 184708 189588 195728 196063 200433 204906 205387 206661 206752 207888 208902 210784 214988 216672 220668 224072 225212 229604 234728 236184 239057 242536 243719 252192 252784 254352 256893 266448 267244 273208 275548 277062 278536 293592 294224 310128 314912 316176 320494 322482 323232 323239 336108 337818 342524 344406 352092 363804 364117 369416 376229 379176 391456 392126 394121 400866 401807 409812 410774 413322 415776 417804 429976 441336 448144 450424 452621 459208 467677 469456 472368 478114 480741 485072 487438 505568 508704 513786 532896 534488 546416 551096 554124 557072 587184 588189 588448 600301 616161 620256 632352 640988 644964 646478 672216 675636 685048 688812 698711 704184 712337 717171 727608 728234 731157 738832 746213 752458 758352 784252 788242 801732 803614 819624 821548 826644 835608 859952 868543 882672 896288 900848 905242 918416 935354 938912 944736 956228 961482 969717 970144 974876 1027572 1068976 1092351 1092832 1102192 1108248 1114144 1121729 1128687 1174368 1176378 1182363 1200602 1205421 1232322 1281976 1289928 1292956 1344432 1351272 1357863 1370096 1377624 1397422 1403031 1408368 1424674 1434342 1455216 1456468 1462314 1477664 1492426 1504916 1516704 1568504 1576484 1603464 1607228 1639248 1643096 1653288 1671216 1708549 1719904 1737086 1765344 1800903 1801696 1810484 1836832 1870708 1912456 1922964 1939434 1949752 1988639 2055144 2083211 2096133 2123837 2137011 2137952 2184702 2204384 2216496 2238639 2243458 2257374 2352756 2364726 2401204 2410842 2464644 2472007 2548819 2563952 2579856 2585912 2605629 2688864 2702544 2715726 2740192 2755248 2794844 2806062 2816736 2849348 2868684 2910432 2912936 2924628 2984852 3009832 3137008 3152968 3168347 3206928 3214456 3278496 3278567 3286192 3306576 3342432 3365187 3417098 3474172 3601806 3620968 3741416 3824912 3845928 3878868 3899504 3977278 4075471 4110288 4166422 4192266 4202107 4247674 4274022 4369404 4432992 4477278 4486916 4514748 4705512 4729452 4802408 4821684 4890977 4929288 4944014 4986359 5097638 5125647 5127904 5159712 5171824 5211258 5223491 5405088 5431452 5510496 5589688 5612124 5698696 5737368 5825872 5849256 5965917 5969704 6019664 6079801 6249633 6274016 6305936 6336694 6371511 6413856 6428912 6557134 6572384 6613152 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189800768976 194616167096 209586641488 219553773712 220915649136 228299734478 230250113184 240640260666 250808159004 259151049948 264934442136 270101094312 280746970777 291924250644 292609518838 296172628512 314379962232 320853680888 329330660568 334410878672 340578292418 342449601717 345534733264 353245922848 360134792416 379601537952 389232334192 419173282976 438914278257 439107547424 441831298272 456599468956 481280521332 501616318008 510867438627 518302099896 529868884272 540202188624 561493941554 583848501288 585219037676 628759924464 641707361776 658661321136 668821757344 681156584836 684899203434 691069466528 778464668384 799049070673 842240912331 877828556514 913198937912 962561042664 1003232636016 1021734877254 1036604199792 1059737768544 1080404377248 1122987883108 1167697002576 1170438075352 1257519848928 1283414723552 1317322642272 1362313169672 1369798406868 1483948274107 1598098141346 1684481824662 1755657113028 1826397875824 1925122085328 2006465272032 2043469754508 2073208399584 2245975766216 2335394005152 2340876150704 2397147212019 2724626339344 2739596813736 2967896548214 3196196282692 3368963649324 3511314226056 3652795751648 3850244170656 4086939509016 4451844822321 4491951532432 4681752301408 4794294424038 5449252678688 5479193627472 5935793096428 6392392565384 6737927298648 7022628452112 8173879018032 8903689644642 8983903064864 9588588848076 10387637918749 10958387254944 11871586192856 12784785130768 13475854597296 14045256904224 16347758036064 17807379289284 19177177696152 20775275837498 23743172385712 25569570261536 26951709194592 31162913756247 35614758578568 38354355392304 41550551674996 47486344771424 62325827512494 71229517157136 76708710784608 83101103349992 124651655024988 142459034314272 166202206699984 249303310049976 332404413399968 498606620099952 997213240199904
- Sum of all divisors σ(n): 3418585564520448
- Sum of proper divisors (its aliquot sum) s(n): 2421372324320544
- 997213240199904 is an abundant number, because the sum of its proper divisors (2421372324320544) is greater than itself. Its abundance is 1424159084120640
Bases of 997213240199904
- Binary: 111000101011110101110011001111001010001010111000002
- Hexadecimal: 0x38AF5CCF28AE0
- Base-36: 9THDFRXK2O
Squares and roots of 997213240199904
- 997213240199904 squared (9972132401999042) is 994434246429991431097881609216
- 997213240199904 cubed (9972132401999043) is 991662997048201571775696283704892145048715264
-
The
square root of 997213240199904 is 31578683.3196050781 -
The
cube root of 997213240199904 is 99907.0215835975
Scales and comparisons
How big is 997213240199904?- 997,213,240,199,904 seconds is equal to 31,708,296 years, 23 weeks, 4 days, 17 hours, 18 minutes, 24 seconds.
-
To count from 1 to 997,213,240,199,904 would take you about seventy-nine million, two hundred seventy thousand, seven hundred forty-one 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 997213240199904 cubic inches would be around 8325.6 feet tall.
Recreational maths with 997213240199904
- 997213240199904 backwards is 409991042312799
- The number of decimal digits it has is: 15
- The sum of 997213240199904's digits is 69
- More coming soon!
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"Number 997213240199904 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 997213240199904 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/997213240199904/
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The information we have on file for 997213240199904 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!
Keywords: Divisors of 997213240199904, math, Factors of 997213240199904, curriculum, school, college, exams, university, Prime factorization of 997213240199904, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-seven trillion, two hundred thirteen billion, two hundred forty million, one hundred ninety-nine thousand, nine hundred four.