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12432213144 = 23321313282279
BaseRepresentation
bin10111001010000010…
…01000010010011000
31012002102101212022200
423211001020102120
5200430121310034
65413345250200
7620040032241
oct134501102230
935072355280
1012432213144
1152aa72981a
1224ab633960
131231874550
1485d1a9cc8
154cb698a99
hex2e5048498

12432213144 has 48 divisors (see below), whose sum is σ = 36260624400. Its totient is φ = 3825296064.

The previous prime is 12432213137. The next prime is 12432213149. The reversal of 12432213144 is 44131223421.

12432213144 is a `hidden beast` number, since 1 + 2 + 432 + 213 + 14 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432213149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6640204 + ... + 6642075.

It is an arithmetic number, because the mean of its divisors is an integer number (755429675).

Almost surely, 212432213144 is an apocalyptic number.

It is an amenable number.

12432213144 is an abundant number, since it is smaller than the sum of its proper divisors (23828411256).

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

12432213144 is a wasteful number, since it uses less digits than its factorization.

12432213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13282304 (or 13282297 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12432213144 its reverse (44131223421), we get a palindrome (56563436565).

The spelling of 12432213144 in words is "twelve billion, four hundred thirty-two million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 13282279 26564558 39846837 53129116 79693674 106258232 119540511 159387348 172669627 239081022 318774696 345339254 478162044 518008881 690678508 956324088 1036017762 1381357016 1554026643 2072035524 3108053286 4144071048 6216106572 12432213144