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23242011444 = 22328961911719
BaseRepresentation
bin10101101001010101…
…001111001100110100
32012222202221111212200
4111221111033030310
5340044423331234
614402140544500
71451646560211
oct255125171464
965882844780
1023242011444
119947567223
124607852130
1322652656c2
1411a6ac8b08
159106b6d99
hex56954f334

23242011444 has 72 divisors (see below), whose sum is σ = 59511816000. Its totient is φ = 7647260544.

The previous prime is 23242011439. The next prime is 23242011473. The reversal of 23242011444 is 44411024232.

23242011444 is a `hidden beast` number, since 232 + 420 + 1 + 1 + 4 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1977417 + ... + 1989135.

It is an arithmetic number, because the mean of its divisors is an integer number (826553000).

Almost surely, 223242011444 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 23242011444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29755908000).

23242011444 is an abundant number, since it is smaller than the sum of its proper divisors (36269804556).

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

23242011444 is a wasteful number, since it uses less digits than its factorization.

23242011444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12437 (or 12432 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 23242011444 its reverse (44411024232), we get a palindrome (67653035676).

The spelling of 23242011444 in words is "twenty-three billion, two hundred forty-two million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 619 801 1068 1238 1602 1857 2476 3204 3714 5571 7428 11142 11719 22284 23438 35157 46876 55091 70314 105471 110182 140628 165273 210942 220364 330546 421884 495819 661092 991638 1042991 1983276 2085982 3128973 4171964 6257946 7254061 9386919 12515892 14508122 18773838 21762183 29016244 37547676 43524366 65286549 87048732 130573098 261146196 645611429 1291222858 1936834287 2582445716 3873668574 5810502861 7747337148 11621005722 23242011444