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12440009940 = 22352938918379
BaseRepresentation
bin10111001010111101…
…10111110011010100
31012002222001222111220
423211132313303110
5200434120304230
65414224330340
7620163224361
oct134536676324
935088058456
1012440009940
115304074656
1224b21739b0
131233374337
14860239468
154cc1d8d10
hex2e57b7cd4

12440009940 has 96 divisors (see below), whose sum is σ = 36127728000. Its totient is φ = 3194537472.

The previous prime is 12440009927. The next prime is 12440009963. The reversal of 12440009940 is 4990004421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667671 + ... + 686049.

It is an arithmetic number, because the mean of its divisors is an integer number (376330500).

Almost surely, 212440009940 is an apocalyptic number.

12440009940 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 12440009940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063864000).

12440009940 is an abundant number, since it is smaller than the sum of its proper divisors (23687718060).

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

12440009940 is a wasteful number, since it uses less digits than its factorization.

12440009940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18809 (or 18807 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 12440009940 in words is "twelve billion, four hundred forty million, nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 389 435 580 778 870 1167 1556 1740 1945 2334 3890 4668 5835 7780 11281 11670 18379 22562 23340 33843 36758 45124 55137 56405 67686 73516 91895 110274 112810 135372 169215 183790 220548 225620 275685 338430 367580 532991 551370 676860 1065982 1102740 1598973 2131964 2664955 3197946 5329910 6395892 7149431 7994865 10659820 14298862 15989730 21448293 28597724 31979460 35747155 42896586 71494310 85793172 107241465 142988620 207333499 214482930 414666998 428965860 622000497 829333996 1036667495 1244000994 2073334990 2488001988 3110002485 4146669980 6220004970 12440009940