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4116074444000 = 25534721894013
BaseRepresentation
bin111011111001011001001…
…001111011010011100000
3112120111022022020101221122
4323321121021323103200
51014414210024202000
612430522024111412
7603243106334621
oct73713111732340
915514268211848
104116074444000
111347687799432
12565881005568
1323b1b49278ac
1410330d18da48
15721064e3085
hex3be5927b4e0

4116074444000 has 96 divisors (see below), whose sum is σ = 10328369740416. Its totient is φ = 1611399283200.

The previous prime is 4116074443927. The next prime is 4116074444011. The reversal of 4116074444000 is 4444706114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10759007 + ... + 11135006.

It is an arithmetic number, because the mean of its divisors is an integer number (107587184796).

Almost surely, 24116074444000 is an apocalyptic number.

4116074444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116074444000 is an abundant number, since it is smaller than the sum of its proper divisors (6212295296416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4116074444000 is a wasteful number, since it uses less digits than its factorization.

4116074444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21894085 (or 21894067 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 4116074444000 in words is "four trillion, one hundred sixteen billion, seventy-four million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 752 800 940 1000 1175 1504 1880 2000 2350 3760 4000 4700 5875 7520 9400 11750 18800 23500 37600 47000 94000 188000 21894013 43788026 87576052 109470065 175152104 218940130 350304208 437880260 547350325 700608416 875760520 1029018611 1094700650 1751521040 2058037222 2189401300 2736751625 3503042080 4116074444 4378802600 5145093055 5473503250 8232148888 8757605200 10290186110 10947006500 16464297776 17515210400 20580372220 21894013000 25725465275 32928595552 41160744440 43788026000 51450930550 82321488880 87576052000 102901861100 128627326375 164642977760 205803722200 257254652750 411607444400 514509305500 823214888800 1029018611000 2058037222000 4116074444000