40137901009920
40,137,901,009,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 40137901009920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 528 divisors.
40137901009920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 40137901009920:
210 × 32 × 5 × 7 × 31 × 4014047
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 31 × 4014047)See below for interesting mathematical facts about the number 40137901009920 from the Numbermatics database.
Names of 40137901009920
- Cardinal: 40137901009920 can be written as Forty trillion, one hundred thirty-seven billion, nine hundred one million, nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.013790100992 × 1013
Factors of 40137901009920
Divisors of 40137901009920
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 56 60 62 63 64 70 72 80 84 90 93 96 105 112 120 124 126 128 140 144 155 160 168 180 186 192 210 217 224 240 248 252 256 279 280 288 310 315 320 336 360 372 384 420 434 448 465 480 496 504 512 558 560 576 620 630 640 651 672 720 744 768 840 868 896 930 960 992 1008 1024 1085 1116 1120 1152 1240 1260 1280 1302 1344 1395 1440 1488 1536 1680 1736 1792 1860 1920 1953 1984 2016 2170 2232 2240 2304 2480 2520 2560 2604 2688 2790 2880 2976 3072 3255 3360 3472 3584 3720 3840 3906 3968 4032 4340 4464 4480 4608 4960 5040 5120 5208 5376 5580 5760 5952 6510 6720 6944 7168 7440 7680 7812 7936 8064 8680 8928 8960 9216 9765 9920 10080 10416 10752 11160 11520 11904 13020 13440 13888 14880 15360 15624 15872 16128 17360 17856 17920 19530 19840 20160 20832 21504 22320 23040 23808 26040 26880 27776 29760 31248 31744 32256 34720 35712 35840 39060 39680 40320 41664 44640 46080 47616 52080 53760 55552 59520 62496 64512 69440 71424 78120 79360 80640 83328 89280 95232 104160 107520 111104 119040 124992 138880 142848 156240 158720 161280 166656 178560 208320 222208 238080 249984 277760 285696 312480 322560 333312 357120 416640 476160 499968 555520 624960 666624 714240 833280 999936 1111040 1249920 1428480 1666560 1999872 2499840 3333120 4014047 4999680 8028094 9999360 12042141 16056188 20070235 24084282 28098329 32112376 36126423 40140470 48168564 56196658 60210705 64224752 72252846 80280940 84294987 96337128 112393316 120421410 124435457 128449504 140491645 144505692 160561880 168589974 180632115 192674256 224786632 240842820 248870914 252884961 256899008 280983290 289011384 321123760 337179948 361264230 373306371 385348512 421474935 449573264 481685640 497741828 505769922 513798016 561966580 578022768 622177285 642247520 674359896 722528460 746612742 770697024 842949870 871048199 899146528 963371280 995483656 1011539844 1027596032 1119919113 1123933160 1156045536 1244354570 1264424805 1284495040 1348719792 1445056920 1493225484 1541394048 1685899740 1742096398 1798293056 1866531855 1926742560 1990967312 2023079688 2055192064 2239838226 2247866320 2312091072 2488709140 2528849610 2568990080 2613144597 2697439584 2890113840 2986450968 3082788096 3371799480 3484192796 3596586112 3733063710 3853485120 3981934624 4046159376 4110384128 4355240995 4479676452 4495732640 4624182144 4977418280 5057699220 5137980160 5226289194 5394879168 5599595565 5780227680 5972901936 6165576192 6743598960 6968385592 7193172224 7466127420 7706970240 7839433791 7963869248 8092318752 8710481990 8959352904 8991465280 9248364288 9954836560 10115398440 10275960320 10452578388 10789758336 11199191130 11560455360 11945803872 12331152384 13065722985 13487197920 13936771184 14386344448 14932254840 15413940480 15678867582 15927738496 16184637504 17420963980 17918705808 17982930560 18496728576 19909673120 20230796880 20551920640 20905156776 21579516672 22398382260 23120910720 23891607744 26131445970 26974395840 27873542368 28772688896 29864509680 30827880960 31357735164 31855476992 32369275008 34841927960 35837411616 35965861120 36993457152 39197168955 39819346240 40461593760 41810313552 43159033344 44796764520 46241821440 47783215488 52262891940 53948791680 55747084736 59729019360 61655761920 62715470328 63710953984 64738550016 69683855920 71674823232 71931722240 78394337910 79638692480 80923187520 83620627104 86318066688 89593529040 92483642880 95566430976 104525783880 107897583360 111494169472 119458038720 125430940656 127421907968 129477100032 139367711840 143349646464 143863444480 156788675820 159277384960 161846375040 167241254208 179187058080 184967285760 191132861952 209051567760 215795166720 222988338944 238916077440 250861881312 258954200064 278735423680 286699292928 313577351640 318554769920 323692750080 334482508416 358374116160 382265723904 418103135520 431590333440 445976677888 477832154880 501723762624 557470847360 573398585856 627154703280 637109539840 647385500160 668965016832 716748232320 836206271040 891953355776 955664309760 1003447525248 1114941694720 1146797171712 1254309406560 1294771000320 1337930033664 1433496464640 1672412542080 1911328619520 2006895050496 2229883389440 2508618813120 2675860067328 2866992929280 3344825084160 4013790100992 4459766778880 5017237626240 5733985858560 6689650168320 8027580201984 10034475252480 13379300336640 20068950504960 40137901009920
- Sum of all divisors σ(n): 164072188919808
- Sum of proper divisors (its aliquot sum) s(n): 123934287909888
- 40137901009920 is an abundant number, because the sum of its proper divisors (123934287909888) is greater than itself. Its abundance is 83796386899968
Bases of 40137901009920
- Binary: 10010010000001010101010101010011101100000000002
- Hexadecimal: 0x24815554EC00
- Base-36: E873HXJ40
Squares and roots of 40137901009920
- 40137901009920 squared (401379010099202) is 1611051097482136955938406400
- 40137901009920 cubed (401379010099203) is 64664209472660989292919916783875391488000
-
The
square root of 40137901009920 is 6335447.9723157699 -
The
cube root of 40137901009920 is 34238.7750908355
Scales and comparisons
How big is 40137901009920?- 40,137,901,009,920 seconds is equal to 1,276,261 years, 5 weeks, 11 hours, 12 minutes.
-
To count from 1 to 40,137,901,009,920 would take you about three million, one hundred ninety thousand, six hundred fifty-two 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 40137901009920 cubic inches would be around 2853.2 feet tall.
Recreational maths with 40137901009920
- 40137901009920 backwards is 02990010973104
- 40137901009920 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40137901009920's digits is 45
- More coming soon!
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