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420401606304 = 25331871374077
BaseRepresentation
bin1100001111000011110…
…00110110111010100000
31111012010111210100112010
412013201320312322200
523341440302400204
6521044013232520
742241641456531
oct6074170667240
91435114710463
10420401606304
11152322824159
1269587792740
133084a29a734
14164c194a688
15ae07a43d89
hex61e1e36ea0

420401606304 has 48 divisors (see below), whose sum is σ = 1103901287328. Its totient is φ = 140089796352.

The previous prime is 420401606299. The next prime is 420401606329. The reversal of 420401606304 is 403606104024.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381087 + ... + 992990.

It is an arithmetic number, because the mean of its divisors is an integer number (22997943486).

Almost surely, 2420401606304 is an apocalyptic number.

It is an amenable number.

420401606304 is an abundant number, since it is smaller than the sum of its proper divisors (683499681024).

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

420401606304 is a wasteful number, since it uses less digits than its factorization.

420401606304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377277 (or 1377269 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 420401606304 in words is "four hundred twenty billion, four hundred one million, six hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3187 6374 9561 12748 19122 25496 38244 50992 76488 101984 152976 305952 1374077 2748154 4122231 5496308 8244462 10992616 16488924 21985232 32977848 43970464 65955696 131911392 4379183399 8758366798 13137550197 17516733596 26275100394 35033467192 52550200788 70066934384 105100401576 140133868768 210200803152 420401606304