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1332141542424 = 23327112912016899
BaseRepresentation
bin10011011000101001110…
…100101100110000011000
311201100111020022222112100
4103120221310230300120
5133311211213324144
62455551040243400
7165146465165220
oct23305164546030
94640436288470
101332141542424
11473a5a1987a0
12196217610560
139880b063cb4
14486941b5080
15249baa70269
hex13629d2cc18

1332141542424 has 384 divisors, whose sum is σ = 4657798080000. Its totient is φ = 333752832000.

The previous prime is 1332141542423. The next prime is 1332141542437. The reversal of 1332141542424 is 4242451412331.

1332141542424 is a `hidden beast` number, since 1 + 3 + 3 + 214 + 15 + 4 + 2 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332141542423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193088527 + ... + 193095425.

It is an arithmetic number, because the mean of its divisors is an integer number (12129682500).

Almost surely, 21332141542424 is an apocalyptic number.

1332141542424 is a gapful number since it is divisible by the number (14) 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 1332141542424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328899040000).

1332141542424 is an abundant number, since it is smaller than the sum of its proper divisors (3325656537576).

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

1332141542424 is a wasteful number, since it uses less digits than its factorization.

1332141542424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8159 (or 8152 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 1332141542424 its reverse (4242451412331), we get a palindrome (5574592954755).

The spelling of 1332141542424 in words is "one trillion, three hundred thirty-two billion, one hundred forty-one million, five hundred forty-two thousand, four hundred twenty-four".