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12140315424 = 253331145181
BaseRepresentation
bin10110100111001111…
…01000001100100000
31011100002010220221000
423103213220030200
5144330410043144
65324401032000
7606563656416
oct132347501440
934302126830
1012140315424
11516a989736
122429925600
1311b62525c3
148325052b6
154b0c3a769
hex2d39e8320

12140315424 has 96 divisors (see below), whose sum is σ = 35523895680. Its totient is φ = 4033670400.

The previous prime is 12140315413. The next prime is 12140315491. The reversal of 12140315424 is 42451304121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 246114 + ... + 291294.

It is an arithmetic number, because the mean of its divisors is an integer number (370040580).

Almost surely, 212140315424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140315424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761947840).

12140315424 is an abundant number, since it is smaller than the sum of its proper divisors (23383580256).

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

12140315424 is a wasteful number, since it uses less digits than its factorization.

12140315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45511 (or 45497 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12140315424 its reverse (42451304121), we get a palindrome (54591619545).

The spelling of 12140315424 in words is "twelve billion, one hundred forty million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 311 432 622 864 933 1244 1866 2488 2799 3732 4976 5598 7464 8397 9952 11196 14928 16794 22392 29856 33588 44784 45181 67176 89568 90362 134352 135543 180724 268704 271086 361448 406629 542172 722896 813258 1084344 1219887 1445792 1626516 2168688 2439774 3253032 4337376 4879548 6506064 9759096 13012128 14051291 19518192 28102582 39036384 42153873 56205164 84307746 112410328 126461619 168615492 224820656 252923238 337230984 379384857 449641312 505846476 674461968 758769714 1011692952 1348923936 1517539428 2023385904 3035078856 4046771808 6070157712 12140315424