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12432140544 = 28316979539
BaseRepresentation
bin10111001010000001…
…10110100100000000
31012002102021011201210
423211000312210000
5200430111444134
65413343530120
7620036310465
oct134500664400
935072234653
1012432140544
1152aa68a21a
1224ab5b9940
13123184a4a5
1485d18b66c
154cb6822e9
hex2e5036900

12432140544 has 72 divisors (see below), whose sum is σ = 33110592480. Its totient is φ = 4141170688.

The previous prime is 12432140537. The next prime is 12432140549. The reversal of 12432140544 is 44504123421.

It is not an unprimeable number, because it can be changed into a prime (12432140549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1298527 + ... + 1308065.

It is an arithmetic number, because the mean of its divisors is an integer number (459869340).

Almost surely, 212432140544 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 12432140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16555296240).

12432140544 is an abundant number, since it is smaller than the sum of its proper divisors (20678451936).

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

12432140544 is an equidigital number, since it uses as much as digits as its factorization.

12432140544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11241 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12432140544 its reverse (44504123421), we get a palindrome (56936263965).

The spelling of 12432140544 in words is "twelve billion, four hundred thirty-two million, one hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1697 3394 5091 6788 9539 10182 13576 19078 20364 27152 28617 38156 40728 54304 57234 76312 81456 108608 114468 152624 162912 217216 228936 305248 325824 434432 457872 610496 651648 915744 1220992 1303296 1831488 2441984 3662976 7325952 16187683 32375366 48563049 64750732 97126098 129501464 194252196 259002928 388504392 518005856 777008784 1036011712 1554017568 2072023424 3108035136 4144046848 6216070272 12432140544