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38014000424 = 23171072612287
BaseRepresentation
bin100011011001110011…
…111001110100101000
310122010021001022020122
4203121303321310220
51110323041003144
625244031542412
72514010446401
oct433163716450
9118107038218
1038014000424
1115137a04184
12744a98aa08
13377a79a89a
141ba89189a8
15ec748c7ee
hex8d9cf9d28

38014000424 has 32 divisors (see below), whose sum is σ = 76174318080. Its totient is φ = 17721748224.

The previous prime is 38014000411. The next prime is 38014000433. The reversal of 38014000424 is 42400041083.

Together with 38160317656 it forms an amicable pair .

It is a junction number, because it is equal to n+sod(n) for n = 38014000393 and 38014000402.

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, 1291592 + ... + 1320695.

It is an arithmetic number, because the mean of its divisors is an integer number (2380447440).

Almost surely, 238014000424 is an apocalyptic number.

38014000424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38014000424 is an abundant number, since it is smaller than the sum of its proper divisors (38160317656).

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

38014000424 is a wasteful number, since it uses less digits than its factorization.

38014000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612417 (or 2612413 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 38014000424 in words is "thirty-eight billion, fourteen million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 17 34 68 107 136 214 428 856 1819 3638 7276 14552 2612287 5224574 10449148 20898296 44408879 88817758 177635516 279514709 355271032 559029418 1118058836 2236117672 4751750053 9503500106 19007000212 38014000424