137116214476800
137,116,214,476,800 is an even composite number composed of seven prime numbers multiplied together.
137116214476800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 137116214476800:
214 × 3 × 52 × 132 × 192 × 31 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 19 × 19 × 31 × 59)See below for interesting mathematical facts about the number 137116214476800 from the Numbermatics database.
Names of 137116214476800
- Cardinal: 137116214476800 can be written as One hundred thirty-seven trillion, one hundred sixteen billion, two hundred fourteen million, four hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.371162144768 × 1014
Factors of 137116214476800
Divisors of 137116214476800
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 31 32 38 39 40 48 50 52 57 59 60 62 64 65 75 76 78 80 93 95 96 100 104 114 118 120 124 128 130 150 152 155 156 160 169 177 186 190 192 195 200 208 228 236 240 247 248 256 260 285 295 300 304 310 312 320 325 338 354 361 372 380 384 390 400 403 416 456 465 472 475 480 494 496 507 512 520 570 589 590 600 608 620 624 640 650 676 708 722 741 744 760 767 768 775 780 800 806 832 845 885 912 930 944 950 960 975 988 992 1014 1024 1040 1083 1121 1140 1178 1180 1200 1209 1216 1235 1240 1248 1280 1300 1352 1416 1425 1444 1475 1482 1488 1520 1534 1536 1550 1560 1600 1612 1664 1690 1767 1770 1805 1824 1829 1860 1888 1900 1920 1950 1976 1984 2015 2028 2048 2080 2166 2242 2280 2301 2325 2356 2360 2400 2418 2432 2470 2480 2496 2535 2560 2600 2704 2832 2850 2888 2945 2950 2964 2976 3040 3068 3072 3100 3120 3200 3211 3224 3328 3363 3380 3534 3540 3610 3648 3658 3705 3720 3776 3800 3835 3840 3900 3952 3968 4030 4056 4096 4160 4225 4332 4425 4484 4560 4602 4650 4693 4712 4720 4800 4836 4864 4940 4960 4992 5070 5120 5200 5239 5408 5415 5487 5605 5664 5700 5776 5890 5900 5928 5952 6045 6080 6136 6144 6175 6200 6240 6400 6422 6448 6656 6726 6760 7068 7080 7220 7296 7316 7410 7440 7552 7600 7657 7670 7680 7800 7904 7936 8060 8112 8192 8320 8450 8664 8835 8850 8968 9025 9120 9145 9204 9300 9386 9424 9440 9600 9633 9672 9728 9880 9920 9971 9984 10075 10140 10240 10400 10478 10816 10830 10974 11191 11210 11328 11400 11505 11552 11780 11800 11856 11904 12090 12160 12272 12288 12350 12400 12480 12675 12800 12844 12896 13312 13452 13520 14079 14136 14160 14440 14573 14592 14632 14725 14820 14880 15104 15200 15314 15340 15360 15600 15717 15808 15872 16055 16120 16224 16384 16640 16815 16900 17328 17670 17700 17936 18050 18240 18290 18408 18525 18600 18772 18848 18880 19175 19200 19266 19344 19456 19760 19840 19942 19968 20150 20280 20480 20800 20956 21299 21632 21660 21948 22382 22420 22656 22800 22971 23010 23104 23465 23560 23600 23712 23777 23808 24180 24320 24544 24576 24700 24800 24960 25350 25600 25688 25792 26195 26624 26904 27040 27075 27435 28025 28158 28272 28320 28880 29146 29184 29264 29450 29640 29760 29913 30208 30225 30400 30628 30680 30720 31200 31434 31616 31744 32110 32240 32448 33280 33573 33630 33800 34656 34751 35340 35400 35872 36100 36480 36580 36816 37050 37200 37544 37696 37760 38285 38350 38400 38532 38688 38912 39520 39680 39884 39936 40300 40560 40960 41600 41912 42598 43264 43320 43719 43896 44175 44764 44840 45312 45600 45725 45942 46020 46208 46930 47120 47200 47424 47554 47616 48165 48360 48640 49088 49152 49400 49600 49855 49920 50700 51200 51376 51584 52390 53248 53808 54080 54150 54870 55955 56050 56316 56544 56640 57525 57760 58292 58368 58528 58900 59280 59520 59826 60416 60450 60800 61009 61256 61360 61440 62400 62868 63232 63488 63897 64220 64480 64896 66560 67146 67260 67600 69312 69502 70395 70680 70800 71331 71744 72200 72865 72960 73160 73632 74100 74400 75088 75392 75520 76570 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120277381120 122315980800 126607769600 131842513920 133902553200 135223091200 138221990400 138781593600 140632014848 142829390080 144332857344 145250227200 147436789760 150346726400 154933575680 162267709440 164803142400 170119372800 171395268096 175790018560 176924147712 178536737600 178769510400 180416071680 184295987200 185042124800 189911654400 193666969600 202834636800 210948022272 214244085120 219737523200 221155184640 225520089600 228527024128 232400363520 232794931200 240554762240 263685027840 267805106400 270446182400 276443980800 277563187200 285658780160 288665714688 290500454400 294873579520 300693452800 329606284800 340238745600 342790536192 351580037120 357073475200 360832143360 368591974400 379823308800 387333939200 405669273600 421896044544 428488170240 439475046400 442310369280 451040179200 457054048256 464800727040 481109524480 527370055680 535610212800 552887961600 555126374400 571317560320 581000908800 601386905600 659212569600 685581072384 703160074240 714146950400 721664286720 737183948800 774667878400 811338547200 856976340480 878950092800 884620738560 902080358400 914108096512 1054740111360 1071220425600 1105775923200 1142635120640 1162001817600 1202773811200 1318425139200 1371162144768 1428293900800 1443328573440 1474367897600 1713952680960 1757900185600 1804160716800 1828216193024 2109480222720 2142440851200 2211551846400 2285270241280 2324003635200 2405547622400 2636850278400 2742324289536 2856587801600 3427905361920 3515800371200 3608321433600 4284881702400 4423103692800 4570540482560 5273700556800 5484648579072 5713175603200 6855810723840 7216642867200 8569763404800 9141080965120 10547401113600 11426351206400 13711621447680 17139526809600 22852702412800 27423242895360 34279053619200 45705404825600 68558107238400 137116214476800
- Sum of all divisors σ(n): 543920791841280
- Sum of proper divisors (its aliquot sum) s(n): 406804577364480
- 137116214476800 is an abundant number, because the sum of its proper divisors (406804577364480) is greater than itself. Its abundance is 269688362887680
Bases of 137116214476800
- Binary: 111110010110100110110110100000111000000000000002
- Hexadecimal: 0x7CB4DB41C000
- Base-36: 1CLQBHV3EO
Squares and roots of 137116214476800
- 137116214476800 squared (1371162144768002) is 18800856272447817897738240000
- 137116214476800 cubed (1371162144768003) is 2577902241000445573402426205464952832000000
-
The
square root of 137116214476800 is 11709663.2947664213 -
The
cube root of 137116214476800 is 51565.9399142765
Scales and comparisons
How big is 137116214476800?- 137,116,214,476,800 seconds is equal to 4,359,871 years, 25 weeks, 4 days, 2 hours, 40 minutes.
-
To count from 1 to 137,116,214,476,800 would take you about ten million, eight hundred ninety-nine thousand, six hundred seventy-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 137116214476800 cubic inches would be around 4297.2 feet tall.
Recreational maths with 137116214476800
- 137116214476800 backwards is 008674412611731
- The number of decimal digits it has is: 15
- The sum of 137116214476800's digits is 51
- More coming soon!
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Cite this page
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"Number 137116214476800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 137116214476800 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137116214476800/
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The information we have on file for 137116214476800 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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