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114149958 = 23133721069
BaseRepresentation
bin1101100110111…
…00101001000110
321221210102022020
412303130221012
5213210244313
615154344010
72554154466
oct663345106
9257712266
10114149958
115948660a
123228b006
131a859270
1411235ba6
15a04c323
hex6cdca46

114149958 has 48 divisors (see below), whose sum is σ = 252922320. Its totient is φ = 34141824.

The previous prime is 114149941. The next prime is 114149999. The reversal of 114149958 is 859941411.

It is a super-2 number, since 2×1141499582 = 26060425822803528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106248 + ... + 107316.

It is an arithmetic number, because the mean of its divisors is an integer number (5269215).

Almost surely, 2114149958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114149958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126461160).

114149958 is an abundant number, since it is smaller than the sum of its proper divisors (138772362).

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

114149958 is a wasteful number, since it uses less digits than its factorization.

114149958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1124 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 114149958 is about 10684.0983709436. The cubic root of 114149958 is about 485.0932728819.

The spelling of 114149958 in words is "one hundred fourteen million, one hundred forty-nine thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 962 1069 1369 1443 2138 2738 2886 3207 4107 6414 8214 13897 17797 27794 35594 39553 41691 53391 79106 83382 106782 118659 237318 514189 1028378 1463461 1542567 2926922 3085134 4390383 8780766 19024993 38049986 57074979 114149958