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53442408000 = 263532226767
BaseRepresentation
bin110001110001011010…
…100110111001000000
312002221111022121122110
4301301122212321000
51333422224024000
640315012135320
73601231654452
oct616132467100
9162844277573
1053442408000
1120734934143
12a435907540
135068cc3437
14282d9ba2d2
1515cbbc7850
hexc716a6e40

53442408000 has 112 divisors (see below), whose sum is σ = 176466910464. Its totient is φ = 14251302400.

The previous prime is 53442407987. The next prime is 53442408029. The reversal of 53442408000 is 80424435.

It is a super-3 number, since 3×534424080003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089384 + ... + 1137383.

Almost surely, 253442408000 is an apocalyptic number.

53442408000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53442408000 is an abundant number, since it is smaller than the sum of its proper divisors (123024502464).

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

53442408000 is a wasteful number, since it uses less digits than its factorization.

53442408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226797 (or 2226777 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 53442408000 in words is "fifty-three billion, four hundred forty-two million, four hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 2226767 4453534 6680301 8907068 11133835 13360602 17814136 22267670 26721204 33401505 35628272 44535340 53442408 55669175 66803010 71256544 89070680 106884816 111338350 133606020 142513088 167007525 178141360 213769632 222676700 267212040 278345875 334015050 356282720 427539264 445353400 534424080 556691750 668030100 712565440 835037625 890706800 1068848160 1113383500 1336060200 1670075250 1781413600 2137696320 2226767000 2672120400 3340150500 3562827200 4453534000 5344240800 6680301000 8907068000 10688481600 13360602000 17814136000 26721204000 53442408000