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12350402440 = 2354754112143
BaseRepresentation
bin10111000000010010…
…00010111110001000
31011212201110110010121
423200021002332020
5200243200334230
65401303553024
7615024455125
oct134011027610
934781413117
1012350402440
115268531172
12248815b774
13121a92bc4c
1485239174c
154c43d877a
hex2e0242f88

12350402440 has 64 divisors (see below), whose sum is σ = 28434447360. Its totient is φ = 4825716480.

The previous prime is 12350402419. The next prime is 12350402459. The reversal of 12350402440 is 4420405321.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1011009 + ... + 1023151.

It is an arithmetic number, because the mean of its divisors is an integer number (444288240).

Almost surely, 212350402440 is an apocalyptic number.

12350402440 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 12350402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217223680).

12350402440 is an abundant number, since it is smaller than the sum of its proper divisors (16084044920).

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

12350402440 is a wasteful number, since it uses less digits than its factorization.

12350402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12350402440 its reverse (4420405321), we get a palindrome (16770807761).

The spelling of 12350402440 in words is "twelve billion, three hundred fifty million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 541 940 1082 1880 2164 2705 4328 5410 10820 12143 21640 24286 25427 48572 50854 60715 97144 101708 121430 127135 203416 242860 254270 485720 508540 570721 1017080 1141442 2282884 2853605 4565768 5707210 6569363 11414420 13138726 22828840 26277452 32846815 52554904 65693630 131387260 262774520 308760061 617520122 1235040244 1543800305 2470080488 3087600610 6175201220 12350402440