1997151631440
1,997,151,631,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1997151631440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
1997151631440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 1997151631440:
24 × 3 × 5 × 72 × 19 × 372 × 6529
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 19 × 37 × 37 × 6529)See below for interesting mathematical facts about the number 1997151631440 from the Numbermatics database.
Names of 1997151631440
- Cardinal: 1997151631440 can be written as One trillion, nine hundred ninety-seven billion, one hundred fifty-one million, six hundred thirty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.99715163144 × 1012
Factors of 1997151631440
Divisors of 1997151631440
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 37 38 40 42 48 49 56 57 60 70 74 76 80 84 95 98 105 111 112 114 120 133 140 147 148 152 168 185 190 196 210 222 228 240 245 259 266 280 285 294 296 304 336 370 380 392 399 420 444 456 490 518 532 555 560 570 588 592 665 703 735 740 760 777 784 798 840 888 912 931 980 1036 1064 1110 1140 1176 1295 1330 1369 1406 1470 1480 1520 1554 1596 1680 1776 1813 1862 1960 1995 2072 2109 2128 2220 2280 2352 2590 2660 2738 2793 2812 2940 2960 3108 3192 3515 3626 3724 3885 3920 3990 4107 4144 4218 4440 4560 4655 4921 5180 5320 5439 5476 5586 5624 5880 6216 6384 6529 6845 7030 7252 7448 7770 7980 8214 8436 8880 9065 9310 9583 9842 10360 10545 10640 10878 10952 11172 11248 11760 12432 13058 13690 13965 14060 14504 14763 14896 15540 15960 16428 16872 18130 18620 19166 19587 19684 20535 20720 21090 21756 21904 22344 24605 26011 26116 27195 27380 27930 28120 28749 29008 29526 31080 31920 32645 32856 33744 34447 36260 37240 38332 39174 39368 41070 42180 43512 44688 45703 47915 49210 52022 52232 54390 54760 55860 56240 57498 59052 62160 65290 65712 67081 68894 72520 73815 74480 76664 78033 78348 78736 82140 84360 87024 91406 95830 97935 98420 103341 104044 104464 108780 109520 111720 114996 118104 124051 130055 130580 134162 137109 137788 143745 145040 147630 153328 156066 156696 164280 168720 172235 182077 182812 191660 195870 196840 201243 206682 208088 217560 223440 228515 229992 236208 241573 248102 260110 261160 268324 274218 275576 287490 295260 312132 313392 319921 328560 335405 344470 364154 365624 372153 383320 390165 391740 393680 402486 413364 416176 435120 457030 459984 483146 496204 516705 520220 522320 536648 546231 548436 551152 574980 590520 620255 624264 639842 670810 685545 688940 724719 728308 731248 744306 766640 780330 783480 804972 826728 868357 910385 914060 959763 966292 992408 1006215 1033410 1040440 1073296 1092462 1096872 1149960 1181040 1207865 1240510 1248528 1274539 1279684 1341620 1371090 1377880 1449438 1456616 1488612 1560660 1566960 1599605 1609944 1653456 1691011 1736714 1820770 1828120 1860765 1919526 1932584 1984816 2012430 2066820 2080880 2184924 2193744 2299920 2415730 2481020 2549078 2559368 2605071 2683240 2731155 2742180 2755760 2898876 2913232 2977224 3121320 3199210 3219888 3382022 3473428 3623595 3641540 3656240 3721530 3823617 3839052 3865168 4024860 4133640 4341785 4369848 4589887 4798815 4831460 4962040 5073033 5098156 5118736 5210142 5366480 5462310 5484360 5797752 5954448 6078499 6242640 6372695 6398420 6764044 6946856 7247190 7283080 7443060 7647234 7678104 8049720 8267280 8455055 8683570 8739696 8938201 9179774 9597630 9662920 9924080 10146066 10196312 10420284 10924620 10968720 11595504 11837077 12156998 12745390 12796840 13025355 13528088 13769661 13893712 14494380 14566160 14886120 15294468 15356208 16099440 16910110 17367140 17876402 18235497 18359548 19118085 19195260 19325840 20292132 20392624 20840568 21849240 22949435 23674154 24313996 25365165 25490780 25593680 26050710 26814603 27056176 27539322 28988760 29772240 30392495 30588936 32129209 33820220 34734280 35511231 35752804 36470994 36719096 38236170 38390520 40584264 41681136 43698480 44691005 45898870 47348308 48627992 50730330 50981560 52101420 53629206 55078644 57977520 59185385 60784990 61177872 62567407 64258418 67640440 68848305 69468560 71022462 71505608 72941988 73438192 76472340 76781040 81168528 89382010 91177485 91797740 94696616 96387627 97255984 101460660 101963120 104202840 107258412 110157288 118370770 121569980 125134814 128516836 134073015 135280880 137696610 142044924 143011216 145883976 152944680 160646045 169825819 177556155 178764020 182354970 183595480 187702221 189393232 192775254 202921320 208405680 214516824 220314576 224904463 236741540 243139960 250269628 257033672 268146030 275393220 284089848 291767952 305889360 312837035 321292090 339651638 355112310 357528040 364709940 367190960 375404442 385550508 405842640 429033648 437971849 449808926 473483080 481938135 486279920 500539256 509477457 514067344 536292060 550786440 568179696 625674070 642584180 674713389 679303276 710224620 715056080 729419880 750808884 771101016 849129095 875943698 899617852 938511105 946966160 963876270 1001078512 1018954914 1072584120 1101572880 1124522315 1188780733 1251348140 1285168360 1313915547 1349426778 1358606552 1420449240 1458839760 1501617768 1542202032 1698258190 1751887396 1799235704 1877022210 1927752540 2037909828 2145168240 2189859245 2249044630 2377561466 2502696280 2547387285 2570336720 2627831094 2698853556 2717213104 2840898480 3003235536 3373566945 3396516380 3503774792 3566342199 3598471408 3754044420 3855505080 4075819656 4379718490 4498089260 4755122932 5005392560 5094774570 5255662188 5397707112 5943903665 6569577735 6747133890 6793032760 7007549584 7132684398 7508088840 7711010160 8151639312 8321465131 8759436980 8996178520 9510245864 10189549140 10511324376 10795414224 11887807330 13139155470 13494267780 13586065520 14265368796 15016177680 16642930262 17518873960 17831710995 17992357040 19020491728 20379098280 21022648752 23775614660 24964395393 26278310940 26988535560 28530737592 33285860524 35037747920 35663421990 40758196560 41607325655 47551229320 49928790786 52556621880 53977071120 57061475184 66571721048 71326843980 83214651310 95102458640 99857581572 105113243760 124821976965 133143442096 142653687960 166429302620 199715163144 249643953930 285307375920 332858605240 399430326288 499287907860 665717210480 998575815720 1997151631440
- Sum of all divisors σ(n): 7792648113600
- Sum of proper divisors (its aliquot sum) s(n): 5795496482160
- 1997151631440 is an abundant number, because the sum of its proper divisors (5795496482160) is greater than itself. Its abundance is 3798344850720
Bases of 1997151631440
- Binary: 111010000111111111000001101111000010100002
- Hexadecimal: 0x1D0FF837850
- Base-36: PHH8ILAO
Squares and roots of 1997151631440
- 1997151631440 squared (19971516314402) is 3988614638963453596473600
- 1997151631440 cubed (19971516314403) is 7965868233391327940733985670889984000
-
The
square root of 1997151631440 is 1413206.1531991715 -
The
cube root of 1997151631440 is 12593.2264580791
Scales and comparisons
How big is 1997151631440?- 1,997,151,631,440 seconds is equal to 63,503 years, 12 weeks, 4 days, 22 hours, 4 minutes.
-
To count from 1 to 1,997,151,631,440 would take you about one hundred fifty-eight thousand, seven hundred fifty-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 1997151631440 cubic inches would be around 1049.4 feet tall.
Recreational maths with 1997151631440
- 1997151631440 backwards is 0441361517991
- The number of decimal digits it has is: 13
- The sum of 1997151631440's digits is 51
- More coming soon!
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"Number 1997151631440 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 1997151631440 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/1997151631440/
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The information we have on file for 1997151631440 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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