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10444124420 = 22517197211739
BaseRepresentation
bin10011011101000010…
…01011000100000100
3222221212110111021222
421232201023010010
5132342143440140
64444205455512
7516546410222
oct115641130404
928855414258
1010444124420
11447a488294
122035871598
13ca5a0a9a2
14711131b12
15411d8a5b5
hex26e84b104

10444124420 has 96 divisors (see below), whose sum is σ = 23483053440. Its totient is φ = 3888138240.

The previous prime is 10444124419. The next prime is 10444124447. The reversal of 10444124420 is 2442144401.

It is a self number, because there is not a number n which added to its sum of digits gives 10444124420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14132411 + ... + 14133149.

It is an arithmetic number, because the mean of its divisors is an integer number (244615140).

Almost surely, 210444124420 is an apocalyptic number.

10444124420 is a gapful number since it is divisible by the number (10) 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 10444124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741526720).

10444124420 is an abundant number, since it is smaller than the sum of its proper divisors (13038929020).

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

10444124420 is a wasteful number, since it uses less digits than its factorization.

10444124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 10444124420 its reverse (2442144401), we get a palindrome (12886268821).

The spelling of 10444124420 in words is "ten billion, four hundred forty-four million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 211 340 394 422 739 788 844 985 1055 1478 1970 2110 2956 3349 3587 3695 3940 4220 6698 7174 7390 12563 13396 14348 14780 16745 17935 25126 33490 35870 41567 50252 62815 66980 71740 83134 125630 145583 155929 166268 207835 251260 291166 311858 415670 582332 623716 706639 727915 779645 831340 1413278 1455830 1559290 2474911 2650793 2826556 2911660 3118580 3533195 4949822 5301586 7066390 9899644 10603172 12374555 13253965 14132780 24749110 26507930 30718013 49498220 53015860 61436026 122872052 153590065 307180130 522206221 614360260 1044412442 2088824884 2611031105 5222062210 10444124420