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12432411240 = 2335103603427
BaseRepresentation
bin10111001010000011…
…11000101001101000
31012002102202221001120
423211001320221220
5200430144124430
65413353415240
7620041515624
oct134501705150
935072687046
1012432411240
1152aa854637
1224ab70a520
131231913772
1485d21c184
154cb6d7610
hex2e5078a68

12432411240 has 32 divisors (see below), whose sum is σ = 37297234080. Its totient is φ = 3315309632.

The previous prime is 12432411239. The next prime is 12432411247. The reversal of 12432411240 is 4211423421.

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 12432411240.

It is not an unprimeable number, because it can be changed into a prime (12432411247) 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, 51801594 + ... + 51801833.

It is an arithmetic number, because the mean of its divisors is an integer number (1165538565).

Almost surely, 212432411240 is an apocalyptic number.

12432411240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432411240 is an abundant number, since it is smaller than the sum of its proper divisors (24864822840).

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

12432411240 is a wasteful number, since it uses less digits than its factorization.

12432411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103603441 (or 103603437 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12432411240 its reverse (4211423421), we get a palindrome (16643834661).

The spelling of 12432411240 in words is "twelve billion, four hundred thirty-two million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 103603427 207206854 310810281 414413708 518017135 621620562 828827416 1036034270 1243241124 1554051405 2072068540 2486482248 3108102810 4144137080 6216205620 12432411240