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114234912 = 253211107337
BaseRepresentation
bin1101100111100…
…01011000100000
321221221201211200
412303301120200
5213221004122
615200241200
72554660251
oct663613040
9257851750
10114234912
1159534420
1232310200
131a888b2c
1411258b28
15a0675ac
hex6cf1620

114234912 has 144 divisors (see below), whose sum is σ = 358761312. Its totient is φ = 34191360.

The previous prime is 114234893. The next prime is 114234937. The reversal of 114234912 is 219432411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 338808 + ... + 339144.

It is an arithmetic number, because the mean of its divisors is an integer number (2491398).

Almost surely, 2114234912 is an apocalyptic number.

114234912 is a gapful number since it is divisible by the number (12) 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 114234912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179380656).

114234912 is an abundant number, since it is smaller than the sum of its proper divisors (244526400).

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

114234912 is a wasteful number, since it uses less digits than its factorization.

114234912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 114234912 is about 10688.0733530417. The cubic root of 114234912 is about 485.2135836130.

The spelling of 114234912 in words is "one hundred fourteen million, two hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 107 132 144 176 198 214 264 288 321 337 352 396 428 528 642 674 792 856 963 1011 1056 1177 1284 1348 1584 1712 1926 2022 2354 2568 2696 3033 3168 3424 3531 3707 3852 4044 4708 5136 5392 6066 7062 7414 7704 8088 9416 10272 10593 10784 11121 12132 14124 14828 15408 16176 18832 21186 22242 24264 28248 29656 30816 32352 33363 36059 37664 42372 44484 48528 56496 59312 66726 72118 84744 88968 97056 108177 112992 118624 133452 144236 169488 177936 216354 266904 288472 324531 338976 355872 396649 432708 533808 576944 649062 793298 865416 1067616 1153888 1189947 1298124 1586596 1730832 2379894 2596248 3173192 3461664 3569841 4759788 5192496 6346384 7139682 9519576 10384992 12692768 14279364 19039152 28558728 38078304 57117456 114234912