40806768640
40,806,768,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 40806768640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 336 divisors.
40806768640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 40806768640:
213 × 5 × 11 × 41 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 41 × 47 × 47)See below for interesting mathematical facts about the number 40806768640 from the Numbermatics database.
Names of 40806768640
- Cardinal: 40806768640 can be written as Forty billion, eight hundred six million, seven hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.080676864 × 1010
Factors of 40806768640
Divisors of 40806768640
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 32 40 41 44 47 55 64 80 82 88 94 110 128 160 164 176 188 205 220 235 256 320 328 352 376 410 440 451 470 512 517 640 656 704 752 820 880 902 940 1024 1034 1280 1312 1408 1504 1640 1760 1804 1880 1927 2048 2068 2209 2255 2560 2585 2624 2816 3008 3280 3520 3608 3760 3854 4096 4136 4418 4510 5120 5170 5248 5632 6016 6560 7040 7216 7520 7708 8192 8272 8836 9020 9635 10240 10340 10496 11045 11264 12032 13120 14080 14432 15040 15416 16544 17672 18040 19270 20480 20680 20992 21197 22090 22528 24064 24299 26240 28160 28864 30080 30832 33088 35344 36080 38540 40960 41360 41984 42394 44180 45056 48128 48598 52480 56320 57728 60160 61664 66176 70688 72160 77080 82720 83968 84788 88360 90112 90569 96256 97196 104960 105985 112640 115456 120320 121495 123328 132352 141376 144320 154160 165440 167936 169576 176720 181138 192512 194392 209920 211970 225280 230912 240640 242990 246656 264704 282752 288640 308320 330880 335872 339152 353440 362276 385024 388784 419840 423940 450560 452845 461824 481280 485980 493312 529408 565504 577280 616640 661760 678304 706880 724552 777568 839680 847880 905690 923648 962560 971960 986624 996259 1058816 1131008 1154560 1233280 1323520 1356608 1413760 1449104 1555136 1679360 1695760 1811380 1847296 1925120 1943920 1973248 1992518 2117632 2262016 2309120 2466560 2647040 2713216 2827520 2898208 3110272 3391520 3622760 3694592 3887840 3946496 3985036 4235264 4524032 4618240 4933120 4981295 5294080 5426432 5655040 5796416 6220544 6783040 7245520 7775680 7892992 7970072 9048064 9236480 9866240 9962590 10588160 10852864 11310080 11592832 12441088 13566080 14491040 15551360 15785984 15940144 18096128 18472960 19732480 19925180 21176320 21705728 22620160 23185664 24882176 27132160 28982080 31102720 31880288 39464960 39850360 43411456 45240320 46371328 49764352 54264320 57964160 62205440 63760576 78929920 79700720 86822912 90480640 92742656 99528704 108528640 115928320 124410880 127521152 159401440 173645824 185485312 199057408 217057280 231856640 248821760 255042304 318802880 370970624 434114560 463713280 497643520 510084608 637605760 741941248 868229120 927426560 995287040 1020169216 1275211520 1854853120 2040338432 2550423040 3709706240 4080676864 5100846080 8161353728 10201692160 20403384320 40806768640
- Sum of all divisors σ(n): 111816727344
- Sum of proper divisors (its aliquot sum) s(n): 71009958704
- 40806768640 is an abundant number, because the sum of its proper divisors (71009958704) is greater than itself. Its abundance is 30203190064
Bases of 40806768640
- Binary: 1001100000000100010111100000000000002
- Hexadecimal: 0x98045E000
- Base-36: IQVAO74
Squares and roots of 40806768640
- 40806768640 squared (408067686402) is 1665192366838487449600
- 40806768640 cubed (408067686403) is 67951119654672165603370860544000
-
The
square root of 40806768640 is 202006.8529530619 -
The
cube root of 40806768640 is 3442.7916045247
Scales and comparisons
How big is 40806768640?- 40,806,768,640 seconds is equal to 1,297 years, 27 weeks, 3 days, 13 hours, 30 minutes, 40 seconds.
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To count from 1 to 40,806,768,640 would take you about two thousand, five hundred ninety-five 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 40806768640 cubic inches would be around 286.9 feet tall.
Recreational maths with 40806768640
- 40806768640 backwards is 04686760804
- The number of decimal digits it has is: 11
- The sum of 40806768640's digits is 49
- More coming soon!
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