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1132047037440 = 2103251121911063
BaseRepresentation
bin10000011110010011010…
…000101111010000000000
311000020000022012221120100
4100132103100233100000
5122021413020144230
62224015532442400
7144534116023404
oct20362320572000
94006008187510
101132047037440
113a710a049600
12163494319400
13829a02a6517
143cb11733104
151e6a917e660
hex1079342f400

1132047037440 has 792 divisors, whose sum is σ = 4338173758464. Its totient is φ = 272741990400.

The previous prime is 1132047037421. The next prime is 1132047037447. The reversal of 1132047037440 is 447307402311.

1132047037440 is a `hidden beast` number, since 1 + 1 + 3 + 204 + 7 + 0 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a junction number, because it is equal to n+sod(n) for n = 1132047037395 and 1132047037404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132047037447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1064954349 + ... + 1064955411.

Almost surely, 21132047037440 is an apocalyptic number.

1132047037440 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 1132047037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169086879232).

1132047037440 is an abundant number, since it is smaller than the sum of its proper divisors (3206126721024).

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

1132047037440 is a wasteful number, since it uses less digits than its factorization.

1132047037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 1132047037440 in words is "one trillion, one hundred thirty-two billion, forty-seven million, thirty-seven thousand, four hundred forty".