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338114325096 = 233241114537373
BaseRepresentation
bin1001110101110010010…
…11110010101001101000
31012022201202202100120100
410322321023302221220
521014424231400341
6415154431225400
733266534225562
oct4727113625150
91168652670510
10338114325096
111204367a3929
1255641978260
1325b653249b2
14125170d4332
158bdd8673b6
hex4eb92f2a68

338114325096 has 48 divisors (see below), whose sum is σ = 938061093060. Its totient is φ = 109955877120.

The previous prime is 338114325049. The next prime is 338114325149. The reversal of 338114325096 is 690523411833.

338114325096 is a `hidden beast` number, since 3 + 3 + 81 + 1 + 432 + 50 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 331326872100 + 6787452996 = 575610^2 + 82386^2 .

It is a super-2 number, since 2×3381143250962 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57265735 + ... + 57271638.

Almost surely, 2338114325096 is an apocalyptic number.

338114325096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

338114325096 is an abundant number, since it is smaller than the sum of its proper divisors (599946767964).

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

338114325096 is a wasteful number, since it uses less digits than its factorization.

338114325096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114537426 (or 114537419 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 338114325096 in words is "three hundred thirty-eight billion, one hundred fourteen million, three hundred twenty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 114537373 229074746 343612119 458149492 687224238 916298984 1030836357 1374448476 2061672714 2748896952 4123345428 4696032293 8246690856 9392064586 14088096879 18784129172 28176193758 37568258344 42264290637 56352387516 84528581274 112704775032 169057162548 338114325096