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23120401344 = 2633718117981
BaseRepresentation
bin10101100010000101…
…010101001111000000
32012200022010002011220
4111202011111033000
5334322310320334
614342114235040
71445642111625
oct254205251700
965608102156
1023120401344
119894955807
124592b85a80
132245cc6971
1411948b034c
15904b94449
hex5621553c0

23120401344 has 112 divisors (see below), whose sum is σ = 63176664096. Its totient is φ = 7456665600.

The previous prime is 23120401333. The next prime is 23120401349. The reversal of 23120401344 is 44310402132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120401349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276834 + ... + 1294814.

It is an arithmetic number, because the mean of its divisors is an integer number (564077358).

Almost surely, 223120401344 is an apocalyptic number.

23120401344 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 23120401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31588332048).

23120401344 is an abundant number, since it is smaller than the sum of its proper divisors (40056262752).

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

23120401344 is a wasteful number, since it uses less digits than its factorization.

23120401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18214 (or 18204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23120401344 its reverse (44310402132), we get a palindrome (67430803476).

The spelling of 23120401344 in words is "twenty-three billion, one hundred twenty million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 181 192 222 296 362 444 543 592 724 888 1086 1184 1448 1776 2172 2368 2896 3552 4344 5792 6697 7104 8688 11584 13394 17376 17981 20091 26788 34752 35962 40182 53576 53943 71924 80364 107152 107886 143848 160728 214304 215772 287696 321456 428608 431544 575392 642912 665297 863088 1150784 1285824 1330594 1726176 1995891 2661188 3254561 3452352 3991782 5322376 6509122 7983564 9763683 10644752 13018244 15967128 19527366 21289504 26036488 31934256 39054732 42579008 52072976 63868512 78109464 104145952 120418757 127737024 156218928 208291904 240837514 312437856 361256271 481675028 624875712 722512542 963350056 1445025084 1926700112 2890050168 3853400224 5780100336 7706800448 11560200672 23120401344