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132412014240 = 25351167374299
BaseRepresentation
bin111101101010001011…
…1101111111010100000
3110122210000120021010120
41323110113233322200
54132134433423430
6140455041000240
712365202356562
oct1732427577240
9418700507116
10132412014240
1151179148130
12217b4623080
13c642808aac
1465a1975332
15369e9ae610
hex1ed45efea0

132412014240 has 192 divisors, whose sum is σ = 461808345600. Its totient is φ = 31620695040.

The previous prime is 132412014233. The next prime is 132412014263. The reversal of 132412014240 is 42410214231.

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 132412014240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166611 + ... + 540909.

It is an arithmetic number, because the mean of its divisors is an integer number (2405251800).

Almost surely, 2132412014240 is an apocalyptic number.

132412014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132412014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230904172800).

132412014240 is an abundant number, since it is smaller than the sum of its proper divisors (329396331360).

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

132412014240 is a wasteful number, since it uses less digits than its factorization.

132412014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374395 (or 374387 counting only the distinct ones).

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

Adding to 132412014240 its reverse (42410214231), we get a palindrome (174822228471).

Subtracting from 132412014240 its reverse (42410214231), we obtain a square (90001800009 = 3000032).

The spelling of 132412014240 in words is "one hundred thirty-two billion, four hundred twelve million, fourteen thousand, two hundred forty".