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114119424 = 283249531
BaseRepresentation
bin1101100110101…
…01001100000000
321221201212102100
412303111030000
5213203310144
615153550400
72553666456
oct663251400
9257655370
10114119424
1159465681
1232275400
131a8483b3
14112289d6
15a043269
hex6cd5300

114119424 has 54 divisors (see below), whose sum is σ = 329041076. Its totient is φ = 38039040.

The previous prime is 114119413. The next prime is 114119429. The reversal of 114119424 is 424911411.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (114119429) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 22462 + ... + 27069.

Almost surely, 2114119424 is an apocalyptic number.

It is an amenable number.

114119424 is an abundant number, since it is smaller than the sum of its proper divisors (214921652).

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

114119424 is an equidigital number, since it uses as much as digits as its factorization.

114119424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49553 (or 49536 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 114119424 is about 10682.6693293390. The cubic root of 114119424 is about 485.0500164523.

The spelling of 114119424 in words is "one hundred fourteen million, one hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 49531 99062 148593 198124 297186 396248 445779 594372 792496 891558 1188744 1584992 1783116 2377488 3169984 3566232 4754976 6339968 7132464 9509952 12679936 14264928 19019904 28529856 38039808 57059712 114119424