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1231314444 = 2232531135711
BaseRepresentation
bin100100101100100…
…0101111000001100
310011210221020212200
41021121011320030
510010204030234
6322103201500
742341000013
oct11131057014
93153836780
101231314444
11582054848
122a4446290
13168139839
14b9761a7a
1573173d99
hex49645e0c

1231314444 has 72 divisors (see below), whose sum is σ = 3199839552. Its totient is φ = 399060480.

The previous prime is 1231314421. The next prime is 1231314517. The reversal of 1231314444 is 4444131321.

It is a super-2 number, since 2×12313144442 = 3032270520006058272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212749 + ... + 218459.

It is an arithmetic number, because the mean of its divisors is an integer number (44442216).

Almost surely, 21231314444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599919776).

1231314444 is an abundant number, since it is smaller than the sum of its proper divisors (1968525108).

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

1231314444 is a wasteful number, since it uses less digits than its factorization.

1231314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5882 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1231314444 is about 35090.0903960078. The cubic root of 1231314444 is about 1071.8228003592.

Adding to 1231314444 its reverse (4444131321), we get a palindrome (5675445765).

The spelling of 1231314444 in words is "one billion, two hundred thirty-one million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 113 159 212 226 318 339 452 477 636 678 954 1017 1356 1908 2034 4068 5711 5989 11422 11978 17133 17967 22844 23956 34266 35934 51399 53901 68532 71868 102798 107802 205596 215604 302683 605366 645343 908049 1210732 1290686 1816098 1936029 2581372 2724147 3632196 3872058 5448294 5808087 7744116 10896588 11616174 23232348 34203179 68406358 102609537 136812716 205219074 307828611 410438148 615657222 1231314444