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12440132304 = 2433735319843
BaseRepresentation
bin10111001010111110…
…10101101011010000
31012002222022012100220
423211133111223100
5200434133213204
65414231113040
7620164244205
oct134537255320
935088265326
1012440132304
115304148586
1224b2212780
1312333b7c42
1486026bcac
154cc2101d9
hex2e57d5ad0

12440132304 has 80 divisors (see below), whose sum is σ = 33100744512. Its totient is φ = 4023005184.

The previous prime is 12440132297. The next prime is 12440132311. The reversal of 12440132304 is 40323104421.

It is an interprime number because it is at equal distance from previous prime (12440132297) and next prime (12440132311).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617007 + ... + 636849.

Almost surely, 212440132304 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 12440132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16550372256).

12440132304 is an abundant number, since it is smaller than the sum of its proper divisors (20660612208).

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

12440132304 is a wasteful number, since it uses less digits than its factorization.

12440132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20244 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12440132304 its reverse (40323104421), we get a palindrome (52763236725).

The spelling of 12440132304 in words is "twelve billion, four hundred forty million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 353 444 592 706 888 1059 1412 1776 2118 2824 4236 5648 8472 13061 16944 19843 26122 39183 39686 52244 59529 78366 79372 104488 119058 156732 158744 208976 238116 313464 317488 476232 626928 734191 952464 1468382 2202573 2936764 4405146 5873528 7004579 8810292 11747056 14009158 17620584 21013737 28018316 35241168 42027474 56036632 84054948 112073264 168109896 259169423 336219792 518338846 777508269 1036677692 1555016538 2073355384 3110033076 4146710768 6220066152 12440132304