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12413542040 = 2353125738953
BaseRepresentation
bin10111000111110011…
…11001111010011000
31012001010021021101022
423203321321322120
5200410331321130
65411441142012
7616422236444
oct134371717230
935033237338
1012413542040
1152a0136959
1224a532a908
13122aa37c63
1485a909824
154c9c0b7e5
hex2e3e79e98

12413542040 has 64 divisors (see below), whose sum is σ = 28944380160. Its totient is φ = 4786421760.

The previous prime is 12413542027. The next prime is 12413542109. The reversal of 12413542040 is 4024531421.

It is a congruent number.

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, 299204 + ... + 338156.

It is an arithmetic number, because the mean of its divisors is an integer number (452255940).

Almost surely, 212413542040 is an apocalyptic number.

12413542040 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 12413542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472190080).

12413542040 is an abundant number, since it is smaller than the sum of its proper divisors (16530838120).

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

12413542040 is a wasteful number, since it uses less digits than its factorization.

12413542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39252 (or 39248 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 12413542040 in words is "twelve billion, four hundred thirteen million, five hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 257 310 514 620 1028 1240 1285 2056 2570 5140 7967 10280 15934 31868 38953 39835 63736 77906 79670 155812 159340 194765 311624 318680 389530 779060 1207543 1558120 2415086 4830172 6037715 9660344 10010921 12075430 20021842 24150860 40043684 48301720 50054605 80087368 100109210 200218420 310338551 400436840 620677102 1241354204 1551692755 2482708408 3103385510 6206771020 12413542040