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114314496 = 283732039
BaseRepresentation
bin1101101000001…
…00110100000000
321222002210000020
412310010310000
5213231030441
615202053440
72555441262
oct664046400
9258083006
10114314496
115958919a
123234a280
131a8b611a
1411279b32
15a080e66
hex6d04d00

114314496 has 72 divisors (see below), whose sum is σ = 308562240. Its totient is φ = 37564416.

The previous prime is 114314467. The next prime is 114314521. The reversal of 114314496 is 694413411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55045 + ... + 57083.

Almost surely, 2114314496 is an apocalyptic number.

114314496 is a gapful number since it is divisible by the number (16) 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 114314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154281120).

114314496 is an abundant number, since it is smaller than the sum of its proper divisors (194247744).

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

114314496 is an equidigital number, since it uses as much as digits as its factorization.

114314496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2117 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 114314496 is about 10691.7957331778. The cubic root of 114314496 is about 485.3262353213.

The spelling of 114314496 in words is "one hundred fourteen million, three hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 584 768 876 1168 1752 2039 2336 3504 4078 4672 6117 7008 8156 9344 12234 14016 16312 18688 24468 28032 32624 48936 56064 65248 97872 130496 148847 195744 260992 297694 391488 446541 521984 595388 782976 893082 1190776 1565952 1786164 2381552 3572328 4763104 7144656 9526208 14289312 19052416 28578624 38104832 57157248 114314496