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1144431231220 = 225401142697161
BaseRepresentation
bin10000101001110101011…
…010101100000011110100
311001101222101021011201001
4100221311122230003310
5122222243343344340
62233424445013044
7145453033650544
oct20516532540364
94041871234631
101144431231220
1140139465a6a2
1216596b854184
1383bc4c07034
143d56839d324
151eb814e029a
hex10a756ac0f4

1144431231220 has 24 divisors (see below), whose sum is σ = 2409298883208. Its totient is φ = 456630912000.

The previous prime is 1144431231131. The next prime is 1144431231233. The reversal of 1144431231220 is 221321344411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 852024994704 + 292406236516 = 923052^2 + 540746^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71340561 + ... + 71356600.

It is an arithmetic number, because the mean of its divisors is an integer number (100387453467).

Almost surely, 21144431231220 is an apocalyptic number.

1144431231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144431231220 is an abundant number, since it is smaller than the sum of its proper divisors (1264867651988).

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

1144431231220 is a wasteful number, since it uses less digits than its factorization.

1144431231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142697571 (or 142697569 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1144431231220 its reverse (221321344411), we get a palindrome (1365752575631).

The spelling of 1144431231220 in words is "one trillion, one hundred forty-four billion, four hundred thirty-one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 4010 8020 142697161 285394322 570788644 713485805 1426971610 2853943220 57221561561 114443123122 228886246244 286107807805 572215615610 1144431231220