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23140144104132 = 223117910333763929
BaseRepresentation
bin1010100001011101111000…
…00100011100001011000100
310000221011202102120220120010
411100232330010130023010
511013112003342313012
6121114234020110220
74605551225350656
oct520567404341304
9100834672526503
1023140144104132
1174117530a2480
12271886b535370
13cbb14c4bc033
1459ddbb9746d6
152a1ddccb3c3c
hex150bbc11c2c4

23140144104132 has 192 divisors, whose sum is σ = 60406546636800. Its totient is φ = 6835734097920.

The previous prime is 23140144104131. The next prime is 23140144104167.

It is a happy number.

23140144104132 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23140144104132.

It is not an unprimeable number, because it can be changed into a prime (23140144104131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 361934344 + ... + 361998272.

It is an arithmetic number, because the mean of its divisors is an integer number (314617430400).

Almost surely, 223140144104132 is an apocalyptic number.

23140144104132 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 23140144104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30203273318400).

23140144104132 is an abundant number, since it is smaller than the sum of its proper divisors (37266402532668).

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

23140144104132 is a wasteful number, since it uses less digits than its factorization.

23140144104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64466 (or 64464 counting only the distinct ones).

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

It can be divided in two parts, 2314014 and 4104132, that added together give a palindrome (6418146).

The spelling of 23140144104132 in words is "twenty-three trillion, one hundred forty billion, one hundred forty-four million, one hundred four thousand, one hundred thirty-two".