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12432004440 = 2335372800001
BaseRepresentation
bin10111001010000000…
…10101010101011000
31012002102000021000220
423211000111111120
5200430043120230
65413341000040
7620035202622
oct134500252530
935072007026
1012432004440
1152aa5a6a39
1224ab553020
13123180055b
1485d153c12
154cb656d10
hex2e5015558

12432004440 has 64 divisors (see below), whose sum is σ = 38304027360. Its totient is φ = 3225600000.

The previous prime is 12432004439. The next prime is 12432004447. The reversal of 12432004440 is 4440023421.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12432004440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432004447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395561 + ... + 1404440.

Almost surely, 212432004440 is an apocalyptic number.

12432004440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432004440 is an abundant number, since it is smaller than the sum of its proper divisors (25872022920).

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

12432004440 is a wasteful number, since it uses less digits than its factorization.

12432004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800052 (or 2800048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12432004440 its reverse (4440023421), we get a palindrome (16872027861).

The spelling of 12432004440 in words is "twelve billion, four hundred thirty-two million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 2800001 5600002 8400003 11200004 14000005 16800006 22400008 28000010 33600012 42000015 56000020 67200024 84000030 103600037 112000040 168000060 207200074 310800111 336000120 414400148 518000185 621600222 828800296 1036000370 1243200444 1554000555 2072000740 2486400888 3108001110 4144001480 6216002220 12432004440