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4412992144 = 241159342283
BaseRepresentation
bin1000001110000100…
…01110101010010000
3102101112211020011111
410013002032222100
533014211222034
62005521423104
7214233546211
oct40702165220
912345736144
104412992144
111965023350
12a31a9aa94
13554361772
142dc13b408
151ac653364
hex10708ea90

4412992144 has 40 divisors (see below), whose sum is σ = 9343410912. Its totient is φ = 2002475520.

The previous prime is 4412992139. The next prime is 4412992163.

It is a happy number.

4412992144 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4412992097 and 4412992106.

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, 83227 + ... + 125509.

Almost surely, 24412992144 is an apocalyptic number.

4412992144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4412992144 is an abundant number, since it is smaller than the sum of its proper divisors (4930418768).

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

4412992144 is a wasteful number, since it uses less digits than its factorization.

4412992144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42895 (or 42889 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 4412992144 is about 66430.3555914011. The cubic root of 4412992144 is about 1640.2537957410.

The spelling of 4412992144 in words is "four billion, four hundred twelve million, nine hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 593 1186 2372 4744 6523 9488 13046 26092 42283 52184 84566 104368 169132 338264 465113 676528 930226 1860452 3720904 7441808 25073819 50147638 100295276 200590552 275812009 401181104 551624018 1103248036 2206496072 4412992144