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113714944 = 287233189
BaseRepresentation
bin1101100011100…
…10011100000000
321220222022120121
412301302130000
5213102334234
615141150024
72550363310
oct661623400
9256868517
10113714944
11592097a2
12320bb314
131a736265
1411161440
159eb34b4
hex6c72700

113714944 has 144 divisors (see below), whose sum is σ = 282562560. Its totient is φ = 44605440.

The previous prime is 113714903. The next prime is 113714959. The reversal of 113714944 is 449417311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1277652 + ... + 1277740.

It is an arithmetic number, because the mean of its divisors is an integer number (1962240).

Almost surely, 2113714944 is an apocalyptic number.

113714944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

113714944 is an abundant number, since it is smaller than the sum of its proper divisors (168847616).

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

113714944 is an equidigital number, since it uses as much as digits as its factorization.

113714944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 113714944 is about 10663.7209265809. The cubic root of 113714944 is about 484.4762745657.

The spelling of 113714944 in words is "one hundred thirteen million, seven hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 89 92 112 124 128 161 178 184 217 224 248 256 322 356 368 434 448 496 623 644 712 713 736 868 896 992 1246 1288 1424 1426 1472 1736 1792 1984 2047 2492 2576 2759 2848 2852 2944 3472 3968 4094 4984 4991 5152 5518 5696 5704 5888 6944 7936 8188 9968 9982 10304 11036 11392 11408 13888 14329 16376 19313 19936 19964 20608 22072 22784 22816 27776 28658 32752 38626 39872 39928 41216 44144 45632 55552 57316 63457 65504 77252 79744 79856 88288 91264 114632 126914 131008 154504 159488 159712 176576 182528 229264 253828 262016 309008 319424 353152 444199 458528 507656 524032 618016 638848 706304 888398 917056 1015312 1236032 1277696 1776796 1834112 2030624 2472064 3553592 3668224 4061248 4944128 7107184 8122496 14214368 16244992 28428736 56857472 113714944