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1132344400400 = 24522830861001
BaseRepresentation
bin10000011110100100111…
…111000101101000010000
311000020210000202112212022
4100132210333011220100
5122023020131303100
62224105234151012
7144544356410663
oct20364477055020
94006700675768
101132344400400
113a7251991814
12163557a22468
1382a19a8cc35
143cb3d01b6da
151e6c531be85
hex107a4fc5a10

1132344400400 has 30 divisors (see below), whose sum is σ = 2720457422922. Its totient is φ = 452937760000.

The previous prime is 1132344400393. The next prime is 1132344400423. The reversal of 1132344400400 is 40044432311.

It can be written as a sum of positive squares in 3 ways, for example, as 7107164416 + 1125237235984 = 84304^2 + 1060772^2 .

It is a super-2 number, since 2×11323444004002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1132344400400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1415430101 + ... + 1415430900.

Almost surely, 21132344400400 is an apocalyptic number.

1132344400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132344400400 is an abundant number, since it is smaller than the sum of its proper divisors (1588113022522).

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

1132344400400 is a wasteful number, since it uses less digits than its factorization.

1132344400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830861019 (or 2830861008 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1132344400400 its reverse (40044432311), we get a palindrome (1172388832711).

The spelling of 1132344400400 in words is "one trillion, one hundred thirty-two billion, three hundred forty-four million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2830861001 5661722002 11323444004 14154305005 22646888008 28308610010 45293776016 56617220020 70771525025 113234440040 141543050050 226468880080 283086100100 566172200200 1132344400400