40988972011888640
40,988,972,011,888,640 is an even composite number composed of four prime numbers multiplied together.
40988972011888640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 40988972011888640:
213 × 5 × 29 × 4314
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 29 × 431 × 431 × 431 × 431)See below for interesting mathematical facts about the number 40988972011888640 from the Numbermatics database.
Names of 40988972011888640
- Cardinal: 40988972011888640 can be written as Forty quadrillion, nine hundred eighty-eight trillion, nine hundred seventy-two billion, eleven million, eight hundred eighty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.098897201188864 × 1016
Factors of 40988972011888640
Divisors of 40988972011888640
- Number of divisors d(n): 280
-
Complete list of divisors:
1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 431 464 512 580 640 862 928 1024 1160 1280 1724 1856 2048 2155 2320 2560 3448 3712 4096 4310 4640 5120 6896 7424 8192 8620 9280 10240 12499 13792 14848 17240 18560 20480 24998 27584 29696 34480 37120 40960 49996 55168 59392 62495 68960 74240 99992 110336 118784 124990 137920 148480 185761 199984 220672 237568 249980 275840 296960 371522 399968 441344 499960 551680 593920 743044 799936 882688 928805 999920 1103360 1187840 1486088 1599872 1765376 1857610 1999840 2206720 2972176 3199744 3530752 3715220 3999680 4413440 5387069 5944352 6399488 7430440 7999360 8826880 10774138 11888704 12798976 14860880 15998720 17653760 21548276 23777408 25597952 26935345 29721760 31997440 43096552 47554816 51195904 53870690 59443520 63994880 80062991 86193104 95109632 102391808 107741380 118887040 127989760 160125982 172386208 190219264 215482760 237774080 255979520 320251964 344772416 380438528 400314955 430965520 475548160 511959040 640503928 689544832 760877056 800629910 861931040 951096320 1281007856 1379089664 1521754112 1601259820 1723862080 1902192640 2321826739 2562015712 2758179328 3202519640 3447724160 3804385280 4643653478 5124031424 5516358656 6405039280 6895448320 7608770560 9287306956 10248062848 11032717312 11609133695 12810078560 13790896640 18574613912 20496125696 22065434624 23218267390 25620157120 27581793280 34507149121 37149227824 40992251392 44130869248 46436534780 51240314240 55163586560 69014298242 74298455648 81984502784 92873069560 102480628480 110327173120 138028596484 148596911296 163969005568 172535745605 185746139120 204961256960 220654346240 276057192968 297193822592 327938011136 345071491210 371492278240 409922513920 552114385936 594387645184 655876022272 690142982420 742984556480 819845027840 1000707324509 1104228771872 1188775290368 1380285964840 1485969112960 1639690055680 2001414649018 2208457543744 2377550580736 2760571929680 2971938225920 3279380111360 4002829298036 4416915087488 4755101161472 5003536622545 5521143859360 5943876451840 8005658596072 8833830174976 9510202322944 10007073245090 11042287718720 11887752903680 16011317192144 17667660349952 19020404645888 20014146490180 22084575437440 23775505807360 32022634384288 35335320699904 40028292980360 44169150874880 47551011614720 64045268768576 70670641399808 80056585960720 88338301749760 95102023229440 128090537537152 141341282799616 160113171921440 176676603499520 256181075074304 282682565599232 320226343842880 353353206999040 512362150148608 640452687685760 706706413998080 1024724300297216 1280905375371520 1413412827996160 2049448600594432 2561810750743040 4098897201188864 5123621501486080 8197794402377728 10247243002972160 20494486005944320 40988972011888640
- Sum of all divisors σ(n): 101996162357546700
- Sum of proper divisors (its aliquot sum) s(n): 61007190345658060
- 40988972011888640 is an abundant number, because the sum of its proper divisors (61007190345658060) is greater than itself. Its abundance is 20018218333769420
Bases of 40988972011888640
- Binary: 100100011001111101000000101111000111101000100000000000002
- Hexadecimal: 0x919F40BC7A2000
- Base-36: B7LDLSFZDVK
Squares and roots of 40988972011888640
- 40988972011888640 squared (409889720118886402) is 1680095826591390264297499761049600
- 40988972011888640 cubed (409889720118886403) is 68865400813445405432210283327406572570404716544000
-
The
square root of 40988972011888640 is 202457333.8061346693 -
The
cube root of 40988972011888640 is 344790.8050881313
Scales and comparisons
How big is 40988972011888640?- 40,988,972,011,888,640 seconds is equal to 1,303,322,522 years, 39 weeks, 4 days, 17 hours, 57 minutes, 20 seconds.
-
To count from 1 to 40,988,972,011,888,640 would take you about three billion, nine hundred nine million, nine hundred sixty-seven thousand, five hundred sixty-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 40988972011888640 cubic inches would be around 28732.6 feet tall.
Recreational maths with 40988972011888640
- 40988972011888640 backwards is 04688811027988904
- The number of decimal digits it has is: 17
- The sum of 40988972011888640's digits is 83
- More coming soon!
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