40142813305920
40,142,813,305,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 40142813305920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
40142813305920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 40142813305920:
26 × 3 × 5 × 132 × 19 × 37 × 109 × 3229
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 19 × 37 × 109 × 3229)See below for interesting mathematical facts about the number 40142813305920 from the Numbermatics database.
Names of 40142813305920
- Cardinal: 40142813305920 can be written as Forty trillion, one hundred forty-two billion, eight hundred thirteen million, three hundred five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.014281330592 × 1013
Factors of 40142813305920
Divisors of 40142813305920
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 37 38 39 40 48 52 57 60 64 65 74 76 78 80 95 96 104 109 111 114 120 130 148 152 156 160 169 185 190 192 195 208 218 222 228 240 247 260 285 296 304 312 320 327 338 370 380 390 416 436 444 456 480 481 494 507 520 545 555 570 592 608 624 654 676 703 740 741 760 780 832 845 872 888 912 960 962 988 1014 1040 1090 1110 1140 1184 1216 1235 1248 1308 1352 1406 1417 1443 1480 1482 1520 1560 1635 1690 1744 1776 1824 1924 1976 2028 2071 2080 2109 2180 2220 2280 2368 2405 2470 2496 2535 2616 2704 2812 2834 2886 2960 2964 3040 3120 3211 3229 3270 3380 3488 3515 3552 3648 3705 3848 3952 4033 4056 4142 4160 4218 4251 4360 4440 4560 4810 4940 5070 5232 5408 5624 5668 5772 5920 5928 6080 6213 6240 6253 6422 6458 6540 6760 6976 7030 7085 7104 7215 7410 7696 7904 8066 8112 8284 8436 8502 8720 8880 9120 9139 9620 9633 9687 9880 10140 10355 10464 10545 10816 11248 11336 11544 11840 11856 12099 12426 12480 12506 12844 12916 13080 13520 14060 14170 14430 14820 15392 15808 16055 16132 16145 16224 16568 16872 17004 17440 17760 18240 18278 18421 18759 19240 19266 19374 19760 20165 20280 20710 20928 21090 21255 22496 22672 23088 23712 24198 24852 25012 25688 25832 26160 26923 27040 27417 28120 28340 28860 29640 30784 31065 31265 32110 32264 32290 32448 33136 33744 34008 34880 35520 36556 36842 37518 38480 38532 38748 39520 40330 40560 41420 41977 42180 42510 44992 45344 45695 46176 47424 48165 48396 48435 49704 50024 51376 51664 52320 52429 53846 54080 54834 55263 56240 56680 57720 59280 60495 61351 62130 62530 64220 64528 64580 66272 67488 68016 73112 73684 75036 76627 76960 77064 77496 79040 80660 80769 81120 82840 83954 84360 85020 90688 91390 92105 92352 93795 96330 96792 96870 99408 100048 102752 103328 104640 104858 107692 109668 110526 112480 113360 115440 118560 118807 119473 120990 122702 124260 125060 125931 128440 129056 129160 132544 134615 134976 136032 137085 146224 147368 150072 153254 153920 154128 154992 157287 161320 161538 162240 165680 167908 168720 170040 182780 184053 184210 187590 192660 193584 193740 198816 200096 205504 206656 209716 209885 215384 219336 221052 224960 226720 229881 230880 237120 237614 238946 241980 245404 248520 250120 251862 256880 258112 258320 262145 269230 272064 274170 276315 292448 294736 300144 306508 306755 308256 309984 314574 322640 323076 331360 335816 337440 340080 349999 351961 356421 358419 365560 368106 368420 375180 383135 385320 387168 387480 397632 400192 403845 419432 419770 430768 438672 442104 453440 459762 461760 475228 477892 483960 490808 497040 500240 503724 513760 516640 524290 538460 545701 548340 552630 584896 589472 594035 597365 600288 613016 613510 616512 619968 629148 629655 645280 646152 662720 671632 674880 680160 681577 699998 703922 712842 716838 731120 736212 736840 750360 766270 770640 774336 774960 786435 797563 807690 838864 839540 861536 877344 884208 919524 920265 950456 955784 967920 981616 994080 996151 1000480 1007448 1027520 1033280 1048580 1049997 1055883 1076920 1091402 1096680 1105260 1149405 1178944 1188070 1194730 1200576 1226032 1227020 1258296 1259310 1290560 1292304 1343264 1360320 1363154 1399996 1407844 1425684 1433676 1462240 1472424 1473680 1500720 1532540 1541280 1549920 1553149 1572870 1595126 1615380 1637103 1677728 1679080 1723072 1749995 1754688 1759805 1768416 1782105 1792095 1839048 1840530 1900912 1911568 1935840 1963232 1988160 1992302 2000960 2014896 2044731 2097160 2099994 2111766 2153840 2182804 2193360 2210520 2269987 2298810 2376140 2389460 2392689 2452064 2454040 2516592 2518620 2584608 2686528 2726308 2728505 2799992 2815688 2851368 2867352 2924480 2944848 2947360 2988453 3001440 3065080 3082560 3099840 3106298 3145740 3190252 3230760 3274206 3355456 3358160 3407885 3499990 3519610 3536832 3564210 3584190 3678096 3681060 3801824 3823136 3871680 3926464 3984604 3987815 4029792 4089462 4194320 4199988 4223532 4307680 4365608 4386720 4421040 4539974 4575493 4597620 4659447 4752280 4778920 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318768320 320988432 323054992 327156960 331786208 335999040 337882560 338586482 347737468 354117972 356888454 363197920 366039440 372755760 382830240 383627803 388498890 390676710 401235540 403818740 414398816 414732760 416721824 427984576 434671835 435837504 439247328 442647465 472157296 475851272 478152480 484582488 494857166 497007680 497679312 507879723 517998520 520902280 521606202 523872960 534980720 544796880 549059160 590196620 594814090 605728110 621598224 622099140 625082736 641976864 646109984 654313920 663572416 677172964 695474936 708235944 713776908 726395840 732078880 742285749 745511520 765660480 767255606 776997780 781353420 802471080 807637480 828797632 829465520 833443648 846466205 869343670 878494656 885294930 892221135 944314592 951702544 956304960 969164976 989714332 995358624 1015759446 1035997040 1041804560 1043212404 1069961440 1089593760 1098118320 1130146771 1150883409 1180393240 1189628180 1211456220 1237142915 1243196448 1244198280 1250165472 1283953728 1292219968 1304015505 1354345928 1390949872 1416471888 1427553816 1464157760 1484571498 1491023040 1534511212 1553995560 1562706840 1604942160 1615274960 1658931040 1692932410 1738687340 1770589860 1784442270 1888629184 1903405088 1918139015 1938329952 1979428664 1990717248 2031518892 2071994080 2083609120 2086424808 2139922880 2179187520 2196236640 2200812133 2260293542 2301766818 2360786480 2379256360 2422912440 2474285830 2486392896 2488396560 2500330944 2539398615 2608031010 2708691856 2781899744 2832943776 2855107632 2969142996 3069022424 3107991120 3125413680 3209884320 3216571579 3230549920 3317862080 3385864820 3390440313 3477374680 3541179720 3568884540 3711428745 3806810176 3836278030 3876659904 3958857328 4063037784 4143988160 4167218240 4172849616 4392473280 4401624266 4520587084 4603533636 4721572960 4758512720 4845824880 4948571660 4976793120 5078797230 5216062020 5417383712 5563799488 5650733855 5665887552 5710215264 5754417045 5938285992 6138044848 6215982240 6250827360 6419768640 6433143158 6461099840 6602436399 6771729640 6780880626 6954749360 7082359440 7137769080 7422857490 7672556060 7917714656 8126075568 8345699232 8803248532 9041174168 9207067272 9443145920 9517025440 9649714737 9691649760 9897143320 9953586240 10157594460 10432124040 10834767424 11004060665 11301467710 11420430528 11508834090 11876571984 12276089696 12431964480 12501654720 12866286316 13204872798 13543459280 13561761252 13909498720 14164718880 14275538160 14845714980 15345112120 15835429312 16082857895 16252151136 16691398464 16952201565 17606497064 18082348336 18414134544 19034050880 19299429474 19383299520 19794286640 20315188920 20864248080 22008121330 22602935420 23017668180 23753143968 24552179392 25732572632 26409745596 27086918560 27123522504 27818997440 28329437760 28551076320 29691429960 30690224240 32165715790 32504302272 33012181995 33904403130 35212994128 36164696672 36828269088 38598858948 39588573280 40630377840 41728496160 41815430527 44016242660 45205870840 46035336360 47506287936 48248573685 51465145264 52819491192 54173837120 54247045008 57102152640 59382859920 61380448480 64331431580 66024363990 67808806260 70425988256 72329393344 73656538176 77197717896 79177146560 81260755680 83456992320 83630861054 88032485320 90411741680 92070672720 96497147370 102930290528 105638982384 108494090016 118765719840 122760896960 125446291581 128662863160 132048727980 135617612520 140851976512 154395435792 162521511360 167261722108 176064970640 180823483360 184141345440 192994294740 205860581056 209077152635 211277964768 216988180032 237531439680 250892583162 257325726320 264097455960 271235225040 308790871584 334523444216 352129941280 361646966720 368282690880 385988589480 418154305270 422555929536 501785166324 514651452640 528194911920 542470450080 617581743168 627231457905 669046888432 704259882560 771977178960 836308610540 1003570332648 1029302905280 1056389823840 1084940900160 1254462915810 1338093776864 1543954357920 1672617221080 2007140665296 2112779647680 2508925831620 2676187553728 3087908715840 3345234442160 4014281330592 5017851663240 6690468884320 8028562661184 10035703326480 13380937768640 20071406652960 40142813305920
- Sum of all divisors σ(n): 150617297952000
- Sum of proper divisors (its aliquot sum) s(n): 110474484646080
- 40142813305920 is an abundant number, because the sum of its proper divisors (110474484646080) is greater than itself. Its abundance is 70331671340160
Bases of 40142813305920
- Binary: 10010010000010011110100010000010011100010000002
- Hexadecimal: 0x24827A209C40
- Base-36: E89CQL2YO
Squares and roots of 40142813305920
- 40142813305920 squared (401428133059202) is 1611445460113947799507046400
- 40142813305920 cubed (401428133059203) is 64687954258026560365431766642718834688000
-
The
square root of 40142813305920 is 6335835.6438531453 -
The
cube root of 40142813305920 is 34240.1718100857
Scales and comparisons
How big is 40142813305920?- 40,142,813,305,920 seconds is equal to 1,276,417 years, 15 weeks, 1 day, 17 hours, 52 minutes.
-
To count from 1 to 40,142,813,305,920 would take you about three million, one hundred ninety-one thousand and forty-three 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 40142813305920 cubic inches would be around 2853.3 feet tall.
Recreational maths with 40142813305920
- 40142813305920 backwards is 02950331824104
- The number of decimal digits it has is: 14
- The sum of 40142813305920's digits is 42
- More coming soon!
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Cite this page
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"Number 40142813305920 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 40142813305920 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/40142813305920/
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The information we have on file for 40142813305920 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!
Keywords: Divisors of 40142813305920, math, Factors of 40142813305920, curriculum, school, college, exams, university, Prime factorization of 40142813305920, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, one hundred forty-two billion, eight hundred thirteen million, three hundred five thousand, nine hundred twenty.