1006401638083858380
1,006,401,638,083,858,380 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1006401638083858380 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
1006401638083858380 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 1006401638083858380:
22 × 32 × 5 × 7 × 13 × 887 × 69268186523
(2 × 2 × 3 × 3 × 5 × 7 × 13 × 887 × 69268186523)See below for interesting mathematical facts about the number 1006401638083858380 from the Numbermatics database.
Names of 1006401638083858380
- Cardinal: 1006401638083858380 can be written as One quintillion, six quadrillion, four hundred one trillion, six hundred thirty-eight billion, eighty-three million, eight hundred fifty-eight thousand, three hundred eighty.
Scientific notation
- Scientific notation: 1.00640163808385838 × 1018
Factors of 1006401638083858380
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 69268187440
Divisors of 1006401638083858380
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 887 910 1092 1170 1260 1365 1638 1774 1820 2340 2661 2730 3276 3548 4095 4435 5322 5460 6209 7983 8190 8870 10644 11531 12418 13305 15966 16380 17740 18627 23062 24836 26610 31045 31932 34593 37254 39915 46124 53220 55881 57655 62090 69186 74508 79830 80717 93135 103779 111762 115310 124180 138372 159660 161434 172965 186270 207558 223524 230620 242151 279405 322868 345930 372540 403585 415116 484302 518895 558810 691860 726453 807170 968604 1037790 1117620 1210755 1452906 1614340 2075580 2421510 2905812 3632265 4843020 7264530 14529060 69268186523 138536373046 207804559569 277072746092 346340932615 415609119138 484877305661 623413678707 692681865230 831218238276 900486424799 969754611322 1039022797845 1246827357414 1385363730460 1454631916983 1800972849598 1939509222644 2078045595690 2424386528305 2493654714828 2701459274397 2909263833966 3117068393535 3601945699196 4156091191380 4363895750949 4502432123995 4848773056610 5402918548794 5818527667932 6234136787070 6303404973593 7273159584915 8104377823191 8727791501898 9004864247990 9697546113220 10805837097588 12468273574140 12606809947186 13507296371985 14546319169830 16208755646382 17455583003796 18009728495980 18910214920779 21819478754745 25213619894372 27014592743970 29092638339660 31517024867965 32417511292764 37820429841558 40521889115955 43638957509490 54029185487940 56730644762337 61440881445901 63034049735930 75640859683116 81043778231910 87277915018980 94551074603895 113461289524674 122881762891802 126068099471860 162087556463820 184322644337703 189102149207790 226922579049348 245763525783604 283653223811685 307204407229505 368645288675406 378204298415580 430086170121307 552967933013109 567306447623370 614408814459010 737290577350812 798731458796713 860172340242614 921613221688515 1105935866026218 1134612895246740 1228817628918020 1290258510363921 1597462917593426 1720344680485228 1843226443377030 2150430850606535 2211871732052436 2396194376390139 2580517020727842 2764839665065545 3194925835186852 3686452886754060 3870775531091763 3993657293983565 4300861701213070 4792388752780278 5161034041455684 5529679330131090 5591120211576991 6451292551819605 7188583129170417 7741551062183526 7987314587967130 8601723402426140 9584777505560556 11059358660262180 11182240423153982 11980971881950695 12902585103639210 14377166258340834 15483102124367052 15974629175934260 16773360634730973 19353877655458815 22364480846307964 23961943763901390 25805170207278420 27955601057884955 28754332516681668 33546721269461946 35942915645852085 38707755310917630 47923887527802780 50320081904192919 55911202115769910 67093442538923892 71885831291704170 77415510621835260 83866803173654865 100640163808385838 111822404231539820 143771662583408340 167733606347309730 201280327616771676 251600409520964595 335467212694619460 503200819041929190 1006401638083858380
- Sum of all divisors σ(n): 3761468670376295424
- Sum of proper divisors (its aliquot sum) s(n): 2755067032292437044
- 1006401638083858380 is an abundant number, because the sum of its proper divisors (2755067032292437044) is greater than itself. Its abundance is 1748665394208578664
Bases of 1006401638083858380
- Binary: 1101111101110111010011110101001010110101110000001111110011002
- Hexadecimal: 0xDF774F52B5C0FCC
- Base-36: 7N9FLTXMUXN0
Squares and roots of 1006401638083858380
- 1006401638083858380 squared (10064016380838583802) is 1012844257137873465991085107896224400
- 1006401638083858380 cubed (10064016380838583803) is 1019328119507384526606050851487164461765869786300472000
-
The
square root of 1006401638083858380 is 1003195712.7519327571 -
The
cube root of 1006401638083858380 is 1002129.3420455245
Scales and comparisons
How big is 1006401638083858380?- 1,006,401,638,083,858,380 seconds is equal to 32,000,459,086 years, 21 weeks, 1 day, 1 hour, 33 minutes.
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To count from 1 to 1,006,401,638,083,858,380 would take you about one hundred twelve billion, one million, six hundred six thousand, eight hundred 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 1006401638083858380 cubic inches would be around 83510.8 feet tall.
Recreational maths with 1006401638083858380
- 1006401638083858380 backwards is 0838583808361046001
- The number of decimal digits it has is: 19
- The sum of 1006401638083858380's digits is 72
- More coming soon!
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