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114714624 = 211318671
BaseRepresentation
bin1101101011001…
…10100000000000
321222212002212210
412311212200000
5213331331444
615214422120
72562025653
oct665464000
9258762783
10114714624
1159831882
1232501940
131a9c629b
141134189a
15a10e7b9
hex6d66800

114714624 has 48 divisors (see below), whose sum is σ = 305847360. Its totient is φ = 38236160.

The previous prime is 114714599. The next prime is 114714637. The reversal of 114714624 is 426417411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1147146242 = 26318889918922752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114714591 and 114714600.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3192 + ... + 15479.

It is an arithmetic number, because the mean of its divisors is an integer number (6371820).

Almost surely, 2114714624 is an apocalyptic number.

It is an amenable number.

114714624 is an abundant number, since it is smaller than the sum of its proper divisors (191132736).

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

114714624 is an equidigital number, since it uses as much as digits as its factorization.

114714624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18696 (or 18676 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 114714624 is about 10710.4913052577. The cubic root of 114714624 is about 485.8918284547.

The spelling of 114714624 in words is "one hundred fourteen million, seven hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 18671 37342 56013 74684 112026 149368 224052 298736 448104 597472 896208 1194944 1792416 2389888 3584832 4779776 7169664 9559552 14339328 19119104 28678656 38238208 57357312 114714624