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470201136240 = 243511178106491
BaseRepresentation
bin1101101011110100010…
…10111111010001110000
31122221200010101120220210
412311322022333101300
530200432442324430
61000001334104120
745654010466463
oct6657212772160
91587603346823
10470201136240
11171458313070
12771654ab040
133545564a204
1418a877b52da
15c36e9da2b0
hex6d7a2bf470

470201136240 has 80 divisors (see below), whose sum is σ = 1590134760576. Its totient is φ = 113988153600.

The previous prime is 470201136221. The next prime is 470201136241. The reversal of 470201136240 is 42631102074.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 470201136198 and 470201136207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470201136241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89050606 + ... + 89055885.

Almost surely, 2470201136240 is an apocalyptic number.

470201136240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470201136240 is an abundant number, since it is smaller than the sum of its proper divisors (1119933624336).

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

470201136240 is a wasteful number, since it uses less digits than its factorization.

470201136240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178106518 (or 178106512 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 470201136240 in words is "four hundred seventy billion, two hundred one million, one hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 178106491 356212982 534319473 712425964 890532455 1068638946 1424851928 1781064910 1959171401 2137277892 2671597365 2849703856 3562129820 3918342802 4274555784 5343194730 5877514203 7124259640 7836685604 8549111568 9795857005 10686389460 11755028406 14248519280 15673371208 19591714010 21372778920 23510056812 29387571015 31346742416 39183428020 42745557840 47020113624 58775142030 78366856040 94040227248 117550284060 156733712080 235100568120 470201136240