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404427442400 = 25524710756049
BaseRepresentation
bin1011110001010011100…
…00010000100011100000
31102122220020120202011222
411320221300100203200
523111231411124100
6505442535354212
741135042353232
oct5705160204340
91378806522158
10404427442400
11146575825403
1266469b22968
132c1a298c147
14158081c2252
15a7c0453485
hex5e29c108e0

404427442400 has 72 divisors (see below), whose sum is σ = 1008315151200. Its totient is φ = 158329026560.

The previous prime is 404427442381. The next prime is 404427442411. The reversal of 404427442400 is 4244724404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5340425 + ... + 5415624.

It is an arithmetic number, because the mean of its divisors is an integer number (14004377100).

Almost surely, 2404427442400 is an apocalyptic number.

404427442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404427442400 is an abundant number, since it is smaller than the sum of its proper divisors (603887708800).

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

404427442400 is a wasteful number, since it uses less digits than its factorization.

404427442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756116 (or 10756103 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 35.

The spelling of 404427442400 in words is "four hundred four billion, four hundred twenty-seven million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 10756049 21512098 43024196 53780245 86048392 107560490 172096784 215120980 268901225 344193568 430241960 505534303 537802450 860483920 1011068606 1075604900 1720967840 2022137212 2151209800 2527671515 4044274424 4302419600 5055343030 8088548848 8604839200 10110686060 12638357575 16177097696 20221372120 25276715150 40442744240 50553430300 80885488480 101106860600 202213721200 404427442400