137423814312960
137,423,814,312,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 137423814312960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2640 divisors.
137423814312960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 137423814312960:
210 × 34 × 5 × 72 × 313 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 31 × 31 × 31 × 227)See below for interesting mathematical facts about the number 137423814312960 from the Numbermatics database.
Names of 137423814312960
- Cardinal: 137423814312960 can be written as One hundred thirty-seven trillion, four hundred twenty-three billion, eight hundred fourteen million, three hundred twelve thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3742381431296 × 1014
Factors of 137423814312960
Divisors of 137423814312960
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 49 54 56 60 62 63 64 70 72 80 81 84 90 93 96 98 105 108 112 120 124 126 128 135 140 144 147 155 160 162 168 180 186 189 192 196 210 216 217 224 227 240 245 248 252 256 270 279 280 288 294 310 315 320 324 336 360 372 378 384 392 405 420 432 434 441 448 454 465 480 490 496 504 512 540 558 560 567 576 588 620 630 640 648 651 672 681 720 735 744 756 768 784 810 837 840 864 868 882 896 908 930 945 960 961 980 992 1008 1024 1080 1085 1116 1120 1134 1135 1152 1176 1240 1260 1280 1296 1302 1323 1344 1362 1395 1440 1470 1488 1512 1519 1536 1568 1589 1620 1674 1680 1728 1736 1764 1792 1816 1860 1890 1920 1922 1953 1960 1984 2016 2043 2160 2170 2205 2232 2240 2268 2270 2304 2352 2480 2511 2520 2560 2592 2604 2646 2688 2724 2790 2835 2880 2883 2940 2976 3024 3038 3072 3136 3178 3240 3255 3348 3360 3405 3456 3472 3528 3584 3632 3720 3780 3840 3844 3906 3920 3968 3969 4032 4086 4185 4320 4340 4410 4464 4480 4536 4540 4557 4608 4704 4767 4805 4960 5022 5040 5120 5184 5208 5292 5376 5448 5580 5670 5760 5766 5859 5880 5952 6048 6076 6129 6272 6356 6480 6510 6615 6696 6720 6727 6810 6912 6944 7037 7056 7168 7264 7440 7560 7595 7680 7688 7812 7840 7936 7938 7945 8064 8172 8370 8640 8649 8680 8820 8928 8960 9072 9080 9114 9216 9408 9534 9610 9765 9920 10044 10080 10215 10368 10416 10584 10752 10896 11123 11160 11340 11520 11532 11718 11760 11904 12096 12152 12258 12544 12555 12712 12960 13020 13230 13392 13440 13454 13620 13671 13824 13888 14074 14112 14301 14415 14528 14880 15120 15190 15360 15376 15624 15680 15872 15876 15890 16128 16344 16740 17280 17298 17360 17577 17640 17856 17920 18144 18160 18228 18387 18816 19068 19220 19530 19840 19845 20088 20160 20181 20430 20736 20832 21111 21168 21504 21792 22246 22320 22680 22785 23040 23064 23436 23520 23808 23835 24192 24304 24516 25088 25110 25424 25920 25947 26040 26460 26784 26880 26908 27240 27342 27648 27776 28148 28224 28602 28830 29056 29295 29760 29791 30240 30380 30645 30752 31248 31360 31744 31752 31780 32256 32688 33369 33480 33635 34560 34596 34720 35154 35185 35280 35712 35840 36288 36320 36456 36774 37632 38136 38440 39060 39680 39690 40176 40320 40362 40860 41013 41472 41664 42222 42336 42903 43245 43584 44492 44640 45360 45570 46080 46128 46872 47040 47089 47616 47670 48384 48608 49032 49259 50176 50220 50848 51840 51894 52080 52920 53568 53760 53816 54480 54684 55552 55615 56296 56448 57204 57660 58112 58590 59520 59582 60480 60543 60760 61290 61504 62496 62720 63333 63504 63560 64512 65376 66738 66960 67270 68355 69120 69192 69440 70308 70370 70560 71424 71505 72576 72640 72912 73548 75264 76272 76880 77841 78120 79360 79380 80352 80640 80724 81720 82026 82944 83328 84444 84672 85806 86490 87168 87885 88984 89280 89373 90720 91140 91935 92256 93744 94080 94178 95232 95340 96768 97216 98064 98518 100107 100440 100905 101696 103680 103788 104160 105555 105840 107136 107520 107632 108960 109368 111104 111230 112592 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46742793984 47666949120 47716602192 48474008576 49255847424 50449271040 51124930920 51936437760 52774122240 53018446880 53681177466 54533259648 54728719360 55412828352 58428492480 59645752740 60539125248 60592510720 61349917104 61569809280 62323725312 63328946688 63622136256 67265694720 68166574560 69266035440 70114190976 70365496320 71500423680 71574903288 72711012864 73883771136 75673906560 76687396380 77904656640 79161183360 79527670320 81799889472 82093079040 84829515008 86484464640 87642738720 89468629110 90469923840 90888766080 92354713920 93485587968 95433204384 98511694848 100898542080 102249861840 103872875520 105548244480 106036893760 107362354932 109066519296 110825656704 116856984960 119291505480 121078250496 121185021440 122699834208 123139618560 126657893376 127244272512 134202943665 136333149120 138532070880 140228381952 143000847360 143149806576 145422025728 147767542272 151347813120 153374792760 155809313280 158322366720 159055340640 163599778944 164186158080 169659030016 175285477440 178937258220 181777532160 184709427840 186971175936 190866408768 201797084160 204499723680 211096488960 212073787520 214724709864 218133038592 221651313408 233713969920 238583010960 242370042880 245399668416 246279237120 254488545024 268405887330 272666298240 277064141760 280456763904 286299613152 295535084544 302695626240 306749585520 311618626560 316644733440 318110681280 327199557888 339318060032 350570954880 357874516440 363555064320 369418855680 381732817536 408999447360 424147575040 429449419728 436266077184 443302626816 467427939840 477166021920 490799336832 492558474240 508977090048 536811774660 545332596480 554128283520 560913527808 572599226304 605391252480 613499171040 633289466880 636221362560 654399115776 701141909760 715749032880 727110128640 738837711360 763465635072 817998894720 848295150080 858898839456 886605253632 934855879680 954332043840 981598673664 1017954180096 1073623549320 1090665192960 1108256567040 1145198452608 1226998342080 1272442725120 1308798231552 1402283819520 1431498065760 1477675422720 1526931270144 1635997789440 1696590300160 1717797678912 1908664087680 1963197347328 2147247098640 2181330385920 2216513134080 2290396905216 2453996684160 2544885450240 2804567639040 2862996131520 3053862540288 3271995578880 3435595357824 3817328175360 3926394694656 4294494197280 4433026268160 4580793810432 4907993368320 5089770900480 5725992263040 6543991157760 6871190715648 7634656350720 8588988394560 9161587620864 9815986736640 11451984526080 13742381431296 15269312701440 17177976789120 19631973473280 22903969052160 27484762862592 34355953578240 45807938104320 68711907156480 137423814312960
- Sum of all divisors σ(n): 594551140305408
- Sum of proper divisors (its aliquot sum) s(n): 457127325992448
- 137423814312960 is an abundant number, because the sum of its proper divisors (457127325992448) is greater than itself. Its abundance is 319703511679488
Bases of 137423814312960
- Binary: 111110011111100011110011010001011000100000000002
- Hexadecimal: 0x7CFC79A2C400
- Base-36: 1CPNMMV400
Squares and roots of 137423814312960
- 137423814312960 squared (1374238143129602) is 18885304740322909756823961600
- 137423814312960 cubed (1374238143129603) is 2595290611877798821892019167157169422336000
-
The
square root of 137423814312960 is 11722790.3808333961 -
The
cube root of 137423814312960 is 51604.4712880391
Scales and comparisons
How big is 137423814312960?- 137,423,814,312,960 seconds is equal to 4,369,652 years, 11 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 137,423,814,312,960 would take you about ten million, nine hundred twenty-four thousand, one hundred thirty 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 137423814312960 cubic inches would be around 4300.4 feet tall.
Recreational maths with 137423814312960
- 137423814312960 backwards is 069213418324731
- 137423814312960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137423814312960's digits is 54
- More coming soon!
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"Number 137423814312960 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 137423814312960 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/137423814312960/
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The information we have on file for 137423814312960 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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