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1140432125200 = 245211932389841
BaseRepresentation
bin10000100110000111000…
…011010011110100010000
311001000122200020112120021
4100212013003103310100
5122141101111001300
62231523550153224
7145251654056404
oct20460703236420
94030580215507
101140432125200
113aa7222270a5
121650344b2814
1383708539504
143d2a91dd104
151e9ea394d1a
hex109870d3d10

1140432125200 has 60 divisors (see below), whose sum is σ = 2742185965428. Its totient is φ = 455790284800.

The previous prime is 1140432125179. The next prime is 1140432125207. The reversal of 1140432125200 is 25212340411.

It can be written as a sum of positive squares in 6 ways, for example, as 132600852736 + 1007831272464 = 364144^2 + 1003908^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1140432125207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717721 + ... + 1672120.

Almost surely, 21140432125200 is an apocalyptic number.

1140432125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140432125200 is an abundant number, since it is smaller than the sum of its proper divisors (1601753840228).

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

1140432125200 is a wasteful number, since it uses less digits than its factorization.

1140432125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391052 (or 2391041 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1140432125200 its reverse (25212340411), we get a palindrome (1165644465611).

The spelling of 1140432125200 in words is "one trillion, one hundred forty billion, four hundred thirty-two million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1193 2386 4772 5965 9544 11930 19088 23860 29825 47720 59650 95440 119300 238600 477200 2389841 4779682 9559364 11949205 19118728 23898410 38237456 47796820 59746025 95593640 119492050 191187280 238984100 477968200 955936400 2851080313 5702160626 11404321252 14255401565 22808642504 28510803130 45617285008 57021606260 71277007825 114043212520 142554015650 228086425040 285108031300 570216062600 1140432125200