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420431910048 = 2534792053211
BaseRepresentation
bin1100001111000111011…
…00011101010010100000
31111012012121210221110000
412013203230131102200
523342021032110143
6521051014540000
742242460161613
oct6074354352240
91435177727400
10420431910048
11152338941877
1269595967600
133085364aa47
14164c599817a
15ae0a52cbd3
hex61e3b1d4a0

420431910048 has 120 divisors (see below), whose sum is σ = 1252130806080. Its totient is φ = 138369928320.

The previous prime is 420431910037. The next prime is 420431910077. The reversal of 420431910048 is 840019134024.

It is a happy number.

420431910048 is a `hidden beast` number, since 420 + 4 + 3 + 191 + 0 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420431909994 and 420431910021.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 821838 + ... + 1231373.

It is an arithmetic number, because the mean of its divisors is an integer number (10434423384).

Almost surely, 2420431910048 is an apocalyptic number.

420431910048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420431910048 is an abundant number, since it is smaller than the sum of its proper divisors (831698896032).

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

420431910048 is a wasteful number, since it uses less digits than its factorization.

420431910048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053312 (or 2053295 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 420431910048 in words is "four hundred twenty billion, four hundred thirty-one million, nine hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2528 2592 2844 3792 4266 5688 6399 7584 8532 11376 12798 17064 22752 25596 34128 51192 68256 102384 204768 2053211 4106422 6159633 8212844 12319266 16425688 18478899 24638532 32851376 36957798 49277064 55436697 65702752 73915596 98554128 110873394 147831192 162203669 166310091 197108256 221746788 295662384 324407338 332620182 443493576 486611007 591324768 648814676 665240364 886987152 973222014 1297629352 1330480728 1459833021 1773974304 1946444028 2595258704 2660961456 2919666042 3892888056 4379499063 5190517408 5321922912 5839332084 7785776112 8758998126 11678664168 13138497189 15571552224 17517996252 23357328336 26276994378 35035992504 46714656672 52553988756 70071985008 105107977512 140143970016 210215955024 420431910048