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10041123344 = 2471937127529
BaseRepresentation
bin10010101100111111…
…10110001000010000
3221220210010220202012
421112133312020100
5131031011421334
64340212042052
7503554066040
oct112637661020
927823126665
1010041123344
114292a5264a
121b42903328
13c40388405
146b37c9720
153db7d29ce
hex2567f6210

10041123344 has 80 divisors (see below), whose sum is σ = 24036854400. Its totient is φ = 3966630912.

The previous prime is 10041123277. The next prime is 10041123359. The reversal of 10041123344 is 44332114001.

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, 14972 + ... + 142500.

It is an arithmetic number, because the mean of its divisors is an integer number (300460680).

Almost surely, 210041123344 is an apocalyptic number.

10041123344 is a gapful number since it is divisible by the number (14) 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 10041123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12018427200).

10041123344 is an abundant number, since it is smaller than the sum of its proper divisors (13995731056).

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

10041123344 is a wasteful number, since it uses less digits than its factorization.

10041123344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127600 (or 127594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10041123344 its reverse (44332114001), we get a palindrome (54373237345).

The spelling of 10041123344 in words is "ten billion, forty-one million, one hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 56 74 76 112 133 148 152 259 266 296 304 518 532 592 703 1036 1064 1406 2072 2128 2812 4144 4921 5624 9842 11248 19684 39368 78736 127529 255058 510116 892703 1020232 1785406 2040464 2423051 3570812 4718573 4846102 7141624 9437146 9692204 14283248 16961357 18874292 19384408 33030011 33922714 37748584 38768816 66060022 67845428 75497168 89652887 132120044 135690856 179305774 264240088 271381712 358611548 528480176 627570209 717223096 1255140418 1434446192 2510280836 5020561672 10041123344