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114741888 = 273436949
BaseRepresentation
bin1101101011011…
…01001010000000
321222220111021120
412311231022000
5213333220023
615215152240
72562201312
oct665551200
9258814246
10114741888
1159850308
1232515680
131aa05811
141134b7b2
15a1178e3
hex6d6d280

114741888 has 64 divisors (see below), whose sum is σ = 311916000. Its totient is φ = 37352448.

The previous prime is 114741863. The next prime is 114741919. The reversal of 114741888 is 888147411.

It is a tau number, because it is divible by the number of its divisors (64).

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, 13038 + ... + 19986.

Almost surely, 2114741888 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 114741888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155958000).

114741888 is an abundant number, since it is smaller than the sum of its proper divisors (197174112).

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

114741888 is an equidigital number, since it uses as much as digits as its factorization.

114741888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 6997 counting only the distinct ones).

The product of its digits is 57344, while the sum is 42.

The square root of 114741888 is about 10711.7640003876. The cubic root of 114741888 is about 485.9303190586.

The spelling of 114741888 in words is "one hundred fourteen million, seven hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 6949 8256 13898 16512 20847 27796 41694 55592 83388 111184 166776 222368 298807 333552 444736 597614 667104 889472 896421 1195228 1334208 1792842 2390456 2668416 3585684 4780912 7171368 9561824 14342736 19123648 28685472 38247296 57370944 114741888