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12432040440 = 2335494320959
BaseRepresentation
bin10111001010000000…
…11110000111111000
31012002102002002102020
423211000132013320
5200430100243230
65413341434440
7620035412601
oct134500360770
935072062366
1012432040440
1152aa620a96
1224ab56ba20
131231813a61
1485d162da8
154cb662810
hex2e501e1f8

12432040440 has 64 divisors (see below), whose sum is σ = 37305446400. Its totient is φ = 3314381952.

The previous prime is 12432040433. The next prime is 12432040471. The reversal of 12432040440 is 4404023421.

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 12432040440.

It is a congruent number.

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, 582681 + ... + 603639.

It is an arithmetic number, because the mean of its divisors is an integer number (582897600).

Almost surely, 212432040440 is an apocalyptic number.

12432040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432040440 is an abundant number, since it is smaller than the sum of its proper divisors (24873405960).

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

12432040440 is a wasteful number, since it uses less digits than its factorization.

12432040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25916 (or 25912 counting only the distinct ones).

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

Adding to 12432040440 its reverse (4404023421), we get a palindrome (16836063861).

The spelling of 12432040440 in words is "twelve billion, four hundred thirty-two million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4943 9886 14829 19772 20959 24715 29658 39544 41918 49430 59316 62877 74145 83836 98860 104795 118632 125754 148290 167672 197720 209590 251508 296580 314385 419180 503016 593160 628770 838360 1257540 2515080 103600337 207200674 310801011 414401348 518001685 621602022 828802696 1036003370 1243204044 1554005055 2072006740 2486408088 3108010110 4144013480 6216020220 12432040440