4004146040800
4,004,146,040,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 4004146040800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
4004146040800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 4004146040800:
25 × 52 × 17 × 167 × 1093 × 1613
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 167 × 1093 × 1613)See below for interesting mathematical facts about the number 4004146040800 from the Numbermatics database.
Names of 4004146040800
- Cardinal: 4004146040800 can be written as Four trillion, four billion, one hundred forty-six million, forty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.0041460408 × 1012
Factors of 4004146040800
Divisors of 4004146040800
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 167 170 200 272 334 340 400 425 544 668 680 800 835 850 1093 1336 1360 1613 1670 1700 2186 2672 2720 2839 3226 3340 3400 4175 4372 5344 5465 5678 6452 6680 6800 8065 8350 8744 10930 11356 12904 13360 13600 14195 16130 16700 17488 18581 21860 22712 25808 26720 27325 27421 28390 32260 33400 34976 37162 40325 43720 45424 51616 54650 54842 56780 64520 66800 70975 74324 80650 87440 90848 92905 109300 109684 113560 129040 133600 137105 141950 148648 161300 174880 182531 185810 218600 219368 227120 258080 269371 274210 283900 297296 322600 365062 371620 437200 438736 454240 464525 538742 548420 567800 594592 645200 685525 730124 743240 874400 877472 912655 929050 1077484 1096840 1135600 1290400 1346855 1371050 1460248 1486480 1763009 1825310 1858100 2154968 2193680 2271200 2693710 2742100 2920496 2972960 3103027 3526018 3650620 3716200 4309936 4387360 4563275 4579307 5387420 5484200 5840992 6206054 6734275 7052036 7301240 7432400 8619872 8815045 9126550 9158614 10774840 10968400 12412108 13468550 14104072 14602480 14864800 15515135 17630090 18253100 18317228 21549680 21936800 22896535 24824216 26937100 28208144 29204960 29971153 31030270 35260180 36506200 36634456 43099360 44075225 45793070 49648432 53874200 56416288 59942306 62060540 70520360 73012400 73268912 77575675 88150450 91586140 99296864 107748400 114482675 119884612 124121080 141040720 146024800 146537824 149855765 155151350 176300900 183172280 215496800 228965350 239769224 248242160 282081440 294422503 299711530 310302700 352601800 366344560 457930700 479538448 496484320 588845006 599423060 620605400 705203600 732689120 749278825 915861400 959076896 1177690012 1198846120 1241210800 1410407200 1472112515 1498557650 1831722800 2355380024 2397692240 2482421600 2944225030 2997115300 3663445600 4710760048 4795384480 5005182551 5888450060 5994230600 7360562575 9421520096 10010365102 11776900120 11988461200 14721125150 20020730204 23553800240 23976922400 25025912755 29442250300 40041460408 47107600480 50051825510 58884500600 80082920816 100103651020 117769001200 125129563775 160165841632 200207302040 235538002400 250259127550 400414604080 500518255100 800829208160 1001036510200 2002073020400 4004146040800
- Sum of all divisors σ(n): 10428092684352
- Sum of proper divisors (its aliquot sum) s(n): 6423946643552
- 4004146040800 is an abundant number, because the sum of its proper divisors (6423946643552) is greater than itself. Its abundance is 2419800602752
Bases of 4004146040800
- Binary: 1110100100010010011011001111001111111000002
- Hexadecimal: 0x3A449B3CFE0
- Base-36: 1F3H962N4
Squares and roots of 4004146040800
- 4004146040800 squared (40041460408002) is 16033185516054315264640000
- 4004146040800 cubed (40041460408003) is 64199216305520791304663260237312000000
-
The
square root of 4004146040800 is 2001036.2417507585 -
The
cube root of 4004146040800 is 15879.4931504567
Scales and comparisons
How big is 4004146040800?- 4,004,146,040,800 seconds is equal to 127,319 years, 23 weeks, 5 days, 21 hours, 6 minutes, 40 seconds.
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To count from 1 to 4,004,146,040,800 would take you about three hundred eighteen thousand, two hundred ninety-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 4004146040800 cubic inches would be around 1323.3 feet tall.
Recreational maths with 4004146040800
- 4004146040800 backwards is 0080406414004
- The number of decimal digits it has is: 13
- The sum of 4004146040800's digits is 31
- More coming soon!
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