42972037398400
42,972,037,398,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42972037398400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
42972037398400 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 42972037398400:
27 × 52 × 11 × 113 × 127 × 257 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 113 × 127 × 257 × 331)See below for interesting mathematical facts about the number 42972037398400 from the Numbermatics database.
Names of 42972037398400
- Cardinal: 42972037398400 can be written as Forty-two trillion, nine hundred seventy-two billion, thirty-seven million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.29720373984 × 1013
Factors of 42972037398400
Divisors of 42972037398400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 113 127 128 160 176 200 220 226 254 257 275 320 331 352 400 440 452 508 514 550 565 635 640 662 704 800 880 904 1016 1028 1100 1130 1243 1270 1285 1324 1397 1408 1600 1655 1760 1808 2032 2056 2200 2260 2486 2540 2570 2648 2794 2825 2827 3175 3200 3310 3520 3616 3641 4064 4112 4400 4520 4972 5080 5140 5296 5588 5650 5654 6215 6350 6425 6620 6985 7040 7232 7282 8128 8224 8275 8800 9040 9944 10160 10280 10592 11176 11300 11308 12430 12700 12850 13240 13970 14135 14351 14464 14564 16256 16448 16550 17600 18080 18205 19888 20320 20560 21184 22352 22600 22616 24860 25400 25700 26480 27940 28270 28702 29041 29128 31075 32639 32896 33100 34925 35200 36160 36410 37403 39776 40640 41120 42037 42368 44704 45200 45232 49720 50800 51400 52960 55880 56540 57404 58082 58256 62150 65278 66200 69850 70675 71755 72320 72820 74806 79552 81280 82240 84074 85067 89408 90400 90464 91025 99440 101600 102800 105920 111760 113080 114808 116164 116512 124300 130556 132400 139700 141350 143510 145205 145640 149612 157861 159104 163195 164480 168148 170134 178816 180800 180928 182050 187015 198880 203200 205600 210185 211840 223520 226160 229616 232328 233024 248600 261112 264800 279400 282700 287020 290410 291280 299224 315722 319451 326390 336296 340268 358775 359029 361600 361856 364100 374030 397760 406400 411200 411433 420370 425335 447040 452320 459232 462407 464656 466048 497200 522224 529600 558800 565400 574040 580820 582560 598448 631444 638902 652780 672592 680536 717550 718058 726025 728200 748060 789305 795520 815975 822400 822866 840740 850670 894080 904640 918464 924814 929312 935075 935737 994400 1044448 1050925 1059200 1117600 1130800 1148080 1161640 1165120 1196896 1262888 1277804 1305560 1345184 1361072 1435100 1436116 1452050 1456400 1496120 1578610 1597255 1631950 1645732 1681480 1701340 1795145 1809280 1836928 1849628 1858624 1870150 1871474 1988800 2057165 2088896 2101850 2126675 2235200 2261600 2296160 2312035 2323280 2330240 2393792 2525776 2555608 2611120 2690368 2722144 2870200 2872232 2904100 2912800 2992240 3157220 3194510 3263900 3291464 3362960 3402680 3590290 3688207 3699256 3717248 3740300 3742948 3946525 3977600 4114330 4177792 4203700 4253350 4470400 4523200 4592320 4624070 4646560 4678685 4750181 4787584 5051552 5111216 5222240 5380736 5444288 5740400 5744464 5808200 5825600 5984480 6314440 6389020 6527800 6582928 6725920 6805360 7180580 7376414 7398512 7480600 7485896 7893050 7986275 8228660 8407400 8506700 8975725 9046400 9184640 9248140 9293120 9357370 9500362 9612571 10103104 10222432 10285825 10444480 10803509 10888576 11480800 11488928 11560175 11616400 11651200 11968960 12628880 12778040 13055600 13165856 13451840 13610720 14361160 14752828 14797024 14961200 14971792 15786100 15972550 16457320 16814800 17013400 17951450 18441035 18496280 18586240 18714740 19000724 19225142 20206208 20444864 20571650 20888960 21607018 22961600 22977856 23120350 23232800 23393425 23750905 23937920 25257760 25556080 26111200 26331712 26903680 27221440 28722320 29505656 29594048 29922400 29943584 31572200 31945100 32914640 33629600 34026800 35902900 36882070 36992560 37429480 38001448 38450284 40570277 40889728 41143300 43214036 45923200 45955712 46240700 46465600 46786850 47501810 48062855 50515520 51112160 52222400 52251991 52663424 54017545 54442880 57444640 59011312 59188096 59844800 59887168 63144400 63890200 65829280 67259200 68053600 71805800 73764140 73985120 74858960 76002896 76900568 81140554 82286600 86428072 92205175 92481400 92931200 93573700 95003620 96125710 101031040 102224320 104444800 104503982 105738281 108035090 114889280 118022624 118754525 118838599 119689600 119774336 126288800 127780400 131658560 134518400 136107200 143611600 147528280 147970240 149717920 152005792 153801136 162281108 164573200 172856144 184410350 184962800 187147400 190007240 192251420 202851385 204448640 209007964 211476562 216070180 229778560 236045248 237509050 237677198 240314275 252577600 255560800 261259955 263317120 270087725 272214400 287223200 295056560 295940480 299435840 304011584 307602272 324562216 329146400 345712288 368820700 369925600 374294800 380014480 384502840 405702770 418015928 422953124 432140360 472090496 475018100 475354396 480628550 505155200 511121600 522519910 528691405 540175450 574446400 590113120 594192995 598871680 608023168 615204544 649124432 658292800 691424576 737641400 739851200 748589600 760028960 769005680 811405540 836031856 845906248 864280720 950036200 950708792 961257100 1014256925 1022243200 1045039820 1057382810 1080350900 1148892800 1180226240 1188385990 1220796517 1230409088 1298248864 1306299775 1316585600 1382849152 1475282800 1479702400 1497179200 1520057920 1538011360 1622811080 1672063712 1691812496 1728561440 1900072400 1901417584 1922514200 2028513850 2090079640 2114765620 2160701800 2360452480 2376771980 2441593034 2596497728 2612599550 2643457025 2950565600 2970964975 2994358400 3040115840 3076022720 3245622160 3344127424 3383624992 3457122880 3800144800 3802835168 3845028400 4057027700 4180159280 4229531240 4321403600 4753543960 4883186068 5192995456 5225199100 5286914050 5901131200 5941929950 6103982585 6152045440 6491244320 6688254848 6767249984 6914245760 7600289600 7605670336 7690056800 8114055400 8360318560 8459062480 8642807200 9507087920 9766372136 10450398200 10573828100 11802262400 11883859900 12207965170 12982488640 13428761687 13534499968 15200579200 15211340672 15380113600 16228110800 16720637120 16918124960 17285614400 19014175840 19532744272 20900796400 21147656200 23767719800 24415930340 25964977280 26857523374 30519912925 30760227200 32456221600 33441274240 33836249920 34571228800 38028351680 39065488544 41801592800 42295312400 47535439600 48831860680 53715046748 61039825850 64912443200 67143808435 67672499840 76056703360 78130977088 83603185600 84590624800 95070879200 97663721360 107430093496 122079651700 129824886400 134287616870 156261954176 167206371200 169181249600 190141758400 195327442720 214860186992 244159303400 268575233740 335719042175 338362499200 380283516800 390654885440 429720373984 488318606800 537150467480 671438084350 781309770880 859440747968 976637213600 1074300934960 1342876168700 1718881495936 1953274427200 2148601869920 2685752337400 3906548854400 4297203739840 5371504674800 8594407479680 10743009349600 21486018699200 42972037398400
- Sum of all divisors σ(n): 118564788510720
- Sum of proper divisors (its aliquot sum) s(n): 75592751112320
- 42972037398400 is an abundant number, because the sum of its proper divisors (75592751112320) is greater than itself. Its abundance is 32620713713920
Bases of 42972037398400
- Binary: 10011100010101001101010000011000111111100000002
- Hexadecimal: 0x271535063F80
- Base-36: F8D2XK874
Squares and roots of 42972037398400
- 42972037398400 squared (429720373984002) is 1846595998169488240322560000
- 42972037398400 cubed (429720373984003) is 79351992293075026604930055199227904000000
-
The
square root of 42972037398400 is 6555306.0491787871 -
The
cube root of 42972037398400 is 35026.3848389825
Scales and comparisons
How big is 42972037398400?- 42,972,037,398,400 seconds is equal to 1,366,377 years, 45 weeks, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,972,037,398,400 would take you about three million, four hundred fifteen thousand, nine hundred forty-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 42972037398400 cubic inches would be around 2918.9 feet tall.
Recreational maths with 42972037398400
- 42972037398400 backwards is 00489373027924
- The number of decimal digits it has is: 14
- The sum of 42972037398400's digits is 58
- More coming soon!
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The information we have on file for 42972037398400 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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