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1132311374040 = 2335711222349957
BaseRepresentation
bin10000011110100011000…
…001000110100011011000
311000020200201121122012210
4100132203001012203120
5122022433202432130
62224102054235120
7144543505606140
oct20364301064330
94006621548183
101132311374040
113a7235284600
12163548955aa0
1382a12c98602
143cb388a1920
151e6c24965b0
hex107a30468d8

1132311374040 has 384 divisors, whose sum is σ = 4286444359680. Its totient is φ = 234225699840.

The previous prime is 1132311374017. The next prime is 1132311374069. The reversal of 1132311374040 is 404731132311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1132311373989 and 1132311374007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22640742 + ... + 22690698.

It is an arithmetic number, because the mean of its divisors is an integer number (11162615520).

Almost surely, 21132311374040 is an apocalyptic number.

1132311374040 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 1132311374040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143222179840).

1132311374040 is an abundant number, since it is smaller than the sum of its proper divisors (3154132985640).

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

1132311374040 is a wasteful number, since it uses less digits than its factorization.

1132311374040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50223 (or 50208 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 1132311374040 in words is "one trillion, one hundred thirty-two billion, three hundred eleven million, three hundred seventy-four thousand, forty".