107427068037120
107,427,068,037,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 107427068037120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
107427068037120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 107427068037120:
211 × 3 × 5 × 132 × 192 × 31 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 19 × 19 × 31 × 43 × 43)See below for interesting mathematical facts about the number 107427068037120 from the Numbermatics database.
Names of 107427068037120
- Cardinal: 107427068037120 can be written as One hundred seven trillion, four hundred twenty-seven billion, sixty-eight million, thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0742706803712 × 1014
Factors of 107427068037120
Divisors of 107427068037120
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 31 32 38 39 40 43 48 52 57 60 62 64 65 76 78 80 86 93 95 96 104 114 120 124 128 129 130 152 155 156 160 169 172 186 190 192 195 208 215 228 240 247 248 256 258 260 285 304 310 312 320 338 344 361 372 380 384 390 403 416 430 456 465 480 494 496 507 512 516 520 559 570 589 608 620 624 640 645 676 688 722 741 744 760 768 780 806 817 832 845 860 912 930 960 988 992 1014 1024 1032 1040 1083 1118 1140 1178 1209 1216 1235 1240 1248 1280 1290 1333 1352 1376 1444 1482 1488 1520 1536 1560 1612 1634 1664 1677 1690 1720 1767 1805 1824 1849 1860 1920 1976 1984 2015 2028 2048 2064 2080 2166 2236 2280 2356 2418 2432 2451 2470 2480 2496 2535 2560 2580 2666 2704 2752 2795 2888 2945 2964 2976 3040 3072 3120 3211 3224 3268 3328 3354 3380 3440 3534 3610 3648 3698 3705 3720 3840 3952 3968 3999 4030 4056 4085 4128 4160 4332 4472 4560 4693 4712 4836 4864 4902 4940 4960 4992 5070 5120 5160 5239 5332 5408 5415 5504 5547 5590 5776 5890 5928 5952 6045 6080 6144 6240 6422 6448 6536 6656 6665 6708 6760 6880 7068 7220 7267 7296 7396 7410 7440 7657 7680 7904 7936 7998 8060 8112 8170 8256 8320 8385 8664 8835 8944 9120 9245 9386 9424 9633 9672 9728 9804 9880 9920 9984 10140 10240 10320 10478 10621 10664 10816 10830 11008 11094 11180 11191 11552 11780 11856 11904 12090 12160 12255 12480 12844 12896 13072 13312 13330 13416 13520 13760 14079 14136 14440 14534 14592 14792 14820 14880 15314 15360 15523 15717 15808 15872 15996 16055 16120 16224 16340 16512 16640 16770 17328 17329 17670 17888 18240 18490 18772 18848 19266 19344 19456 19608 19760 19840 19968 19995 20280 20640 20956 21242 21328 21632 21660 21801 22016 22188 22360 22382 22971 23104 23465 23560 23712 23808 24037 24180 24320 24510 24960 25327 25688 25792 26144 26195 26624 26660 26832 27040 27520 27735 28158 28272 28880 29068 29184 29584 29640 29760 30628 30720 31046 31434 31616 31744 31863 31992 32110 32240 32448 32680 33024 33280 33540 33573 34656 34658 35131 35340 35776 36335 36480 36980 37544 37696 38285 38532 38688 38912 39216 39520 39680 39936 39990 40560 41280 41912 42484 42656 43264 43320 43602 44032 44376 44720 44764 45942 46208 46569 46930 47120 47424 47616 48074 48165 48360 48640 49020 49920 50654 51376 51584 51987 52288 52390 53105 53320 53664 54080 55040 55470 55955 56316 56544 57319 57760 58136 58368 59168 59280 59520 61009 61256 62092 62868 63232 63488 63726 63984 64220 64480 64896 65360 66048 66560 67080 67146 69312 69316 70262 70395 70680 71552 72111 72670 72960 73960 75088 75392 75981 76570 77064 77376 77615 78432 78585 79040 79360 79872 79980 81120 82560 83824 84968 85312 86528 86640 86645 87204 88064 88752 89440 89528 91884 92416 93138 93860 94240 94848 95232 96148 96330 96720 97280 98040 99541 99840 101308 102752 103168 103974 104576 104780 105393 106210 106640 107328 108160 109005 110080 110940 111910 112632 113088 114638 114855 115520 116272 116736 118336 118560 119040 120185 122018 122512 124184 125736 126464 126635 127452 127968 128440 128960 129792 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44428067840 45597227520 47117135104 48044305920 49596984320 51647628864 52047998080 52454623065 52971927040 53313681408 54146707680 54365925120 55951597936 57756488192 58100090880 58896418880 59516381184 60796303360 62457597696 63566312448 64059074560 64559536080 65744839680 66642101760 68863505152 69939497420 70675702656 72195610240 72487900160 74395476480 78071997120 79457890560 80590448640 83276796928 83927396904 86079381440 86634732288 86985480192 88344628320 88856135680 91194455040 94234270208 96088611840 99193968640 103295257728 104095996160 104909246130 105943854080 108293415360 108731850240 111903195872 115512976384 117792837760 124915195392 127132624896 129119072160 131489679360 133284203520 137727010304 139878994840 141351405312 144391220480 144975800320 148790952960 156143994240 158915781120 166553593856 167854793808 172158762880 173269464576 176689256640 182388910080 188468540416 192177223680 206590515456 208191992320 209818492260 211887708160 216586830720 217463700480 223806391744 231025952768 235585675520 249830390784 258238144320 266568407040 275454020608 279757989680 282702810624 288782440960 297581905920 312287988480 317831562240 335709587616 344317525760 346538929152 353378513280 376937080832 413181030912 416383984640 419636984520 433173661440 434927400960 447612783488 471171351040 499660781568 516476288640 550908041216 559515979360 565405621248 577564881920 624575976960 635663124480 671419175232 688635051520 693077858304 706757026560 826362061824 832767969280 839273969040 866347322880 895225566976 942342702080 1032952577280 1119031958720 1130811242496 1155129763840 1249151953920 1342838350464 1377270103040 1413514053120 1652724123648 1678547938080 1732694645760 1790451133952 1884685404160 2065905154560 2238063917440 2498303907840 2685676700928 2754540206080 2827028106240 3357095876160 3465389291520 3580902267904 4131810309120 4476127834880 5371353401856 5654056212480 6714191752320 7161804535808 8263620618240 8952255669760 10742706803712 13428383504640 17904511339520 21485413607424 26856767009280 35809022679040 53713534018560 107427068037120
- Sum of all divisors σ(n): 415089555229440
- Sum of proper divisors (its aliquot sum) s(n): 307662487192320
- 107427068037120 is an abundant number, because the sum of its proper divisors (307662487192320) is greater than itself. Its abundance is 200235419155200
Bases of 107427068037120
- Binary: 110000110110100010100000011101011001000000000002
- Hexadecimal: 0x61B4503AC800
- Base-36: 122VBAMHHC
Squares and roots of 107427068037120
- 107427068037120 squared (1074270680371202) is 11540574947052009529697894400
- 107427068037120 cubed (1074270680371203) is 1239770130024438769318074314908005040128000
-
The
square root of 107427068037120 is 10364702.9883697101 -
The
cube root of 107427068037120 is 47537.6717640775
Scales and comparisons
How big is 107427068037120?- 107,427,068,037,120 seconds is equal to 3,415,848 years, 24 weeks, 3 days, 32 minutes.
-
To count from 1 to 107,427,068,037,120 would take you about eight million, five hundred thirty-nine thousand, six hundred twenty-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 107427068037120 cubic inches would be around 3961.5 feet tall.
Recreational maths with 107427068037120
- 107427068037120 backwards is 021730860724701
- 107427068037120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107427068037120's digits is 48
- More coming soon!
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"Number 107427068037120 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 107427068037120 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/107427068037120/
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The information we have on file for 107427068037120 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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