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114136305664 = 21278735407
BaseRepresentation
bin110101001001100001…
…1011101000000000000
3101220121100121002001011
41222103003131000000
53332222343240124
6124233345050304
711150255406433
oct1522303350000
9356540532034
10114136305664
114444aa72847
121a154026994
13a9bc434254
14574a69981a
152e802e4994
hex1a930dd000

114136305664 has 52 divisors (see below), whose sum is σ = 228541219264. Its totient is φ = 56994029568.

The previous prime is 114136305643. The next prime is 114136305727. The reversal of 114136305664 is 466503631411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3205849 + ... + 3241255.

Almost surely, 2114136305664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114136305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114270609632).

114136305664 is an abundant number, since it is smaller than the sum of its proper divisors (114404913600).

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

114136305664 is an frugal number, since it uses more digits than its factorization.

114136305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36218 (or 36196 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 114136305664 in words is "one hundred fourteen billion, one hundred thirty-six million, three hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 787 1024 1574 2048 3148 4096 6296 12592 25184 35407 50368 70814 100736 141628 201472 283256 402944 566512 805888 1133024 1611776 2266048 3223552 4532096 9064192 18128384 27865309 36256768 55730618 72513536 111461236 145027072 222922472 445844944 891689888 1783379776 3566759552 7133519104 14267038208 28534076416 57068152832 114136305664