Search a number
-
+
23143113431424 = 273372614322247
BaseRepresentation
bin1010100001100011011010…
…00011100001100110000000
310000221110102100220100212000
411100301231003201212000
511013134044014301144
6121115444411104000
74606014632253600
oct520615503414600
9100843370810760
1023143113431424
117412a37212a78
122719359a42000
13cbb50372432c
145a01c0074c00
152a20137e9769
hex150c6d0e1980

23143113431424 has 384 divisors, whose sum is σ = 79472561356800. Its totient is φ = 6610944549888.

The previous prime is 23143113431413. The next prime is 23143113431441. The reversal of 23143113431424 is 42413431134132.

23143113431424 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 311 + 3 + 4 + 314 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040269069 + ... + 1040291315.

It is an arithmetic number, because the mean of its divisors is an integer number (206959795200).

Almost surely, 223143113431424 is an apocalyptic number.

23143113431424 is a gapful number since it is divisible by the number (24) 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 23143113431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39736280678400).

23143113431424 is an abundant number, since it is smaller than the sum of its proper divisors (56329447925376).

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

23143113431424 is a wasteful number, since it uses less digits than its factorization.

23143113431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28427 (or 28402 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 23143113431424 its reverse (42413431134132), we get a palindrome (65556544565556).

The spelling of 23143113431424 in words is "twenty-three trillion, one hundred forty-three billion, one hundred thirteen million, four hundred thirty-one thousand, four hundred twenty-four".