134742563923968
134,742,563,923,968 is an even composite number composed of eight prime numbers multiplied together.
What does the number 134742563923968 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
134742563923968 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 134742563923968:
211 × 32 × 7 × 11 × 13 × 31 × 37 × 6367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 31 × 37 × 6367)See below for interesting mathematical facts about the number 134742563923968 from the Numbermatics database.
Names of 134742563923968
- Cardinal: 134742563923968 can be written as One hundred thirty-four trillion, seven hundred forty-two billion, five hundred sixty-three million, nine hundred twenty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.34742563923968 × 1014
Factors of 134742563923968
Divisors of 134742563923968
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 31 32 33 36 37 39 42 44 48 52 56 62 63 64 66 72 74 77 78 84 88 91 93 96 99 104 111 112 117 124 126 128 132 143 144 148 154 156 168 176 182 186 192 198 208 217 222 224 231 234 248 252 256 259 264 273 279 286 288 296 308 312 333 336 341 352 364 372 384 396 403 407 416 429 434 444 448 462 468 481 496 504 512 518 528 546 558 572 576 592 616 624 651 666 672 682 693 704 728 744 768 777 792 806 814 819 832 858 868 888 896 924 936 962 992 1001 1008 1023 1024 1036 1056 1092 1116 1144 1147 1152 1184 1209 1221 1232 1248 1287 1302 1332 1344 1364 1386 1408 1443 1456 1488 1536 1554 1584 1612 1628 1638 1664 1716 1736 1776 1792 1848 1872 1924 1953 1984 2002 2016 2046 2048 2072 2112 2184 2232 2288 2294 2304 2331 2368 2387 2418 2442 2464 2496 2574 2604 2664 2688 2728 2772 2816 2821 2849 2886 2912 2976 3003 3069 3072 3108 3168 3224 3256 3276 3328 3367 3432 3441 3472 3552 3584 3627 3663 3696 3744 3848 3906 3968 4004 4032 4092 4144 4224 4329 4368 4433 4464 4576 4588 4608 4662 4736 4774 4836 4884 4928 4992 5148 5208 5291 5328 5376 5456 5544 5632 5642 5698 5772 5824 5952 6006 6138 6144 6216 6336 6367 6448 6512 6552 6656 6734 6864 6882 6944 7104 7161 7168 7254 7326 7392 7488 7696 7812 7936 8008 8029 8064 8184 8288 8448 8463 8547 8658 8736 8866 8928 9009 9152 9176 9216 9324 9472 9548 9672 9768 9856 9984 10101 10296 10323 10416 10582 10656 10752 10912 11088 11264 11284 11396 11544 11648 11904 12012 12276 12432 12617 12672 12734 12896 13024 13104 13299 13312 13468 13728 13764 13888 14208 14322 14336 14508 14652 14784 14911 14976 15392 15624 15872 15873 16016 16058 16128 16368 16576 16896 16926 17094 17316 17472 17732 17856 18018 18304 18352 18432 18648 18944 19096 19101 19344 19536 19712 19968 20202 20592 20646 20832 21164 21312 21483 21504 21824 22176 22528 22568 22792 23088 23296 23808 24024 24087 24552 24864 25234 25344 25389 25468 25641 25792 26048 26208 26598 26624 26936 27456 27528 27776 28416 28644 29016 29304 29568 29822 29952 30303 30784 31031 31248 31744 31746 32032 32116 32256 32736 33152 33792 33852 34188 34632 34944 35464 35712 36036 36608 36704 37037 37296 37851 37888 38192 38202 38688 39072 39424 39897 39936 40404 41184 41292 41664 42328 42624 42966 43008 43648 44352 44569 44733 45136 45584 46176 46592 47616 47619 48048 48174 49104 49728 50468 50688 50778 50936 51282 51584 52096 52416 53196 53872 54912 55056 55552 56832 57288 57303 58032 58608 59136 59644 59904 60606 61568 62062 62496 63488 63492 64064 64232 64512 65472 66304 67584 67704 68376 69264 69888 70037 70928 71424 72072 72261 73216 73408 74074 74592 75702 75776 76384 76404 77376 78144 78848 79794 79872 80808 82368 82584 82771 83328 84656 85248 85932 87296 88319 88704 89138 89466 90272 91168 92352 93093 93184 95232 95238 96096 96348 98208 99456 100936 101376 101556 101872 102564 103168 104192 104377 104832 106392 107744 109824 110112 111104 111111 113553 113664 114576 114606 116064 117216 118272 119288 119808 121212 123136 124124 124992 126984 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15197672448 15423828288 15562781696 15764895744 15921371136 15949640616 16257548736 16464145152 16709147312 16781985792 16825994496 16978649688 17248152064 17508129408 17994466336 18228160704 18392378368 18574932992 18797790726 18816165888 18967140192 19404171072 19578983424 19630326912 20009290752 20243774628 20565104384 20691425664 20896799616 21162645504 21266187488 21676731648 21930755847 21952193536 22434659328 22638199584 23135742432 23344172544 23647343616 23882056704 23924460924 24304214272 24696217728 25063720968 25289520256 25466370048 25872228096 26173769216 26991699504 27342241056 27588567552 27862399488 28224248832 28450710288 28902308864 29241007796 29368475136 29445490368 30184266112 30395344896 30847656576 31125563392 31899281232 32515097472 32928290304 33418294624 33651988992 33957299376 34496304128 35016258816 35988932672 36456321408 36784756736 37149865984 37595581452 37934280384 38808342144 39157966848 39260653824 40018581504 40487549256 41130208768 41382851328 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145825285632 150382325808 151737121536 155233368576 157042615296 161950197024 164520835072 165531405312 167174396928 170129499904 173413853184 175446046776 181105596672 185085939456 191395687392 194433714176 197569741824 200509767744 202316162048 206977824768 215933596032 218737928448 227605682304 233928062368 235563922944 241474128896 246781252608 255194249856 260120779776 263169070164 267346356992 271658395008 280130070528 287911461376 291650571264 300764651616 303474243072 310466737152 314085230592 323900394048 331062810624 334348793856 340258999808 350892093552 362211193344 370171878912 382791374784 395139483648 401019535488 404632324096 431867192064 437475856896 455211364608 467856124736 471127845888 482948257792 493562505216 510388499712 520241559552 526338140328 534692713984 543316790016 575822922752 583301142528 601529303232 606948486144 620933474304 647800788096 680517999616 701784187104 724422386688 740343757824 765582749568 802039070976 863734384128 874951713792 910422729216 935712249472 942255691776 1020776999424 1052676280656 1069385427968 1086633580032 1151645845504 1203058606464 1213896972288 1295601576192 1361035999232 1403568374208 1448844773376 1480687515648 1531165499136 1604078141952 1727468768256 1749903427584 1820845458432 1871424498944 2041553998848 2105352561312 2138770855936 2173267160064 2406117212928 2591203152384 2807136748416 3062330998272 3208156283904 3454937536512 3641690916864 3742848997888 4083107997696 4210705122624 4346534320128 4812234425856 5182406304768 5614273496832 6124661996544 6416312567808 7485697995776 8421410245248 9624468851712 10364812609536 11228546993664 12249323993088 14971395991552 16842820490496 19248937703424 22457093987328 33685640980992 44914187974656 67371281961984 134742563923968
- Sum of all divisors σ(n): 554029840465920
- Sum of proper divisors (its aliquot sum) s(n): 419287276541952
- 134742563923968 is an abundant number, because the sum of its proper divisors (419287276541952) is greater than itself. Its abundance is 284544712617984
Bases of 134742563923968
- Binary: 111101010001100001100101010100010101000000000002
- Hexadecimal: 0x7A8C32A8A800
- Base-36: 1BRFVNLZ40
Squares and roots of 134742563923968
- 134742563923968 squared (1347425639239682) is 18155558532804602753684865024
- 134742563923968 cubed (1347425639239683) is 2446326506181766859666759604759513878495232
-
The
square root of 134742563923968 is 11607866.4673560061 -
The
cube root of 134742563923968 is 51266.6495401941
Scales and comparisons
How big is 134742563923968?- 134,742,563,923,968 seconds is equal to 4,284,396 years, 38 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
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To count from 1 to 134,742,563,923,968 would take you about ten million, seven hundred ten thousand, nine hundred ninety-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 134742563923968 cubic inches would be around 4272.2 feet tall.
Recreational maths with 134742563923968
- 134742563923968 backwards is 869329365247431
- 134742563923968 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134742563923968's digits is 72
- More coming soon!
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The information we have on file for 134742563923968 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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