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12031144440 = 2335726730539
BaseRepresentation
bin10110011010001110…
…01011000111111000
31011001110201110111020
423031013023013320
5144114433110230
65305501102440
7604100016600
oct131507130770
934043643436
1012031144440
1151142a3987
1223b9257a20
13119974a6a3
14821c07c00
154a6373810
hex2cd1cb1f8

12031144440 has 192 divisors, whose sum is σ = 42614294400. Its totient is φ = 2708842752.

The previous prime is 12031144399. The next prime is 12031144441. The reversal of 12031144440 is 4444113021.

It is a super-2 number, since 2×120311444402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12031144440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031144441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378691 + ... + 409229.

It is an arithmetic number, because the mean of its divisors is an integer number (221949450).

Almost surely, 212031144440 is an apocalyptic number.

12031144440 is a gapful number since it is divisible by the number (10) 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 12031144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21307147200).

12031144440 is an abundant number, since it is smaller than the sum of its proper divisors (30583149960).

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

12031144440 is a wasteful number, since it uses less digits than its factorization.

12031144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30634 (or 30623 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12031144440 its reverse (4444113021), we get a palindrome (16475257461).

The spelling of 12031144440 in words is "twelve billion, thirty-one million, one hundred forty-four thousand, four hundred forty".