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23114414432 = 25193110911251
BaseRepresentation
bin10101100001101110…
…011111100101100000
32012122212211220200102
4111201232133211200
5334314242230212
614341342041532
71445540165234
oct254156374540
965585756612
1023114414432
11989153674a
124590b792a8
1322449ab905
141193b925c4
159043b05c2
hex561b9f960

23114414432 has 96 divisors (see below), whose sum is σ = 49904870400. Its totient is φ = 10497600000.

The previous prime is 23114414377. The next prime is 23114414467. The reversal of 23114414432 is 23441441132.

It is a junction number, because it is equal to n+sod(n) for n = 23114414395 and 23114414404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2048807 + ... + 2060057.

It is an arithmetic number, because the mean of its divisors is an integer number (519842400).

Almost surely, 223114414432 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 23114414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24952435200).

23114414432 is an abundant number, since it is smaller than the sum of its proper divisors (26790455968).

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

23114414432 is a wasteful number, since it uses less digits than its factorization.

23114414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420 (or 11412 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 23114414432 its reverse (23441441132), we get a palindrome (46555855564).

The spelling of 23114414432 in words is "twenty-three billion, one hundred fourteen million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 109 124 152 218 248 304 436 496 589 608 872 992 1178 1744 2071 2356 3379 3488 4142 4712 6758 8284 9424 11251 13516 16568 18848 22502 27032 33136 45004 54064 64201 66272 90008 108128 128402 180016 213769 256804 348781 360032 427538 513608 697562 855076 1027216 1226359 1395124 1710152 2054432 2452718 2790248 3420304 4905436 5580496 6626839 6840608 9810872 11160992 13253678 19621744 23300821 26507356 38017129 39243488 46601642 53014712 76034258 93203284 106029424 152068516 186406568 212058848 304137032 372813136 608274064 722325451 745626272 1216548128 1444650902 2889301804 5778603608 11557207216 23114414432