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231441144132 = 2231129239252971
BaseRepresentation
bin1101011110001011110…
…1111001100101000100
3211010101112100021222010
43113202331321211010
512242442413103012
6254153402534220
722502220160152
oct3274275714504
9733345307863
10231441144132
118a176546140
1238a31207370
1318a9513a283
14b2b7aac3d2
15604886dc3c
hex35e2f79944

231441144132 has 96 divisors (see below), whose sum is σ = 611989862400. Its totient is φ = 67431683200.

The previous prime is 231441144119. The next prime is 231441144197.

It is a happy number.

231441144132 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 231441144132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788407 + ... + 1041377.

It is an arithmetic number, because the mean of its divisors is an integer number (6374894400).

Almost surely, 2231441144132 is an apocalyptic number.

231441144132 is a gapful number since it is divisible by the number (22) 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 231441144132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305994931200).

231441144132 is an abundant number, since it is smaller than the sum of its proper divisors (380548718268).

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

231441144132 is a wasteful number, since it uses less digits than its factorization.

231441144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253257 (or 253255 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 231441 and 144132, that added together give a palindrome (375573).

The spelling of 231441144132 in words is "two hundred thirty-one billion, four hundred forty-one million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 239 319 348 478 638 717 956 957 1276 1434 1914 2629 2868 3828 5258 6931 7887 10516 13862 15774 20793 27724 31548 41586 76241 83172 152482 228723 252971 304964 457446 505942 758913 914892 1011884 1517826 2782681 3035652 5565362 7336159 8348043 11130724 14672318 16696086 22008477 29344636 33392172 44016954 60460069 80697749 88033908 120920138 161395498 181380207 241840276 242093247 322790996 362760414 484186494 665060759 725520828 968372988 1330121518 1753342001 1995182277 2660243036 3506684002 3990364554 5260026003 7013368004 7980729108 10520052006 19286762011 21040104012 38573524022 57860286033 77147048044 115720572066 231441144132