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114426444 = 223117910973
BaseRepresentation
bin1101101001000…
…00001001001100
321222022110120110
412310200021030
5213243121234
615204320020
72556415536
oct664401114
9258273513
10114426444
1159655310
12323a3010
131a925072
14112a8856
15a0a41e9
hex6d2024c

114426444 has 48 divisors (see below), whose sum is σ = 294981120. Its totient is φ = 34232640.

The previous prime is 114426409. The next prime is 114426451. The reversal of 114426444 is 444624411.

It is a super-2 number, since 2×1144264442 = 26186822172970272, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4942 + ... + 15914.

It is an arithmetic number, because the mean of its divisors is an integer number (6145440).

Almost surely, 2114426444 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 114426444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147490560).

114426444 is an abundant number, since it is smaller than the sum of its proper divisors (180554676).

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

114426444 is a wasteful number, since it uses less digits than its factorization.

114426444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11070 (or 11068 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 114426444 is about 10697.0296811779. The cubic root of 114426444 is about 485.4846100315.

The spelling of 114426444 in words is "one hundred fourteen million, four hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 10973 21946 32919 43892 65838 120703 131676 241406 362109 482812 724218 866867 1448436 1733734 2600601 3467468 5201202 9535537 10402404 19071074 28606611 38142148 57213222 114426444