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23303312144 = 247477162351
BaseRepresentation
bin10101101100111111…
…000101001100010000
32020011001021220121222
4111230333011030100
5340211121442034
614412210504212
71453322612360
oct255477051420
966131256558
1023303312144
119979126362
124624295068
132274b796c8
1411b0cc49a0
15915c7512e
hex56cfc5310

23303312144 has 80 divisors (see below), whose sum is σ = 53441150976. Its totient is φ = 9636816000.

The previous prime is 23303312141. The next prime is 23303312167. The reversal of 23303312144 is 44121330332.

It is not an unprimeable number, because it can be changed into a prime (23303312141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 342569 + ... + 404919.

Almost surely, 223303312144 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 23303312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26720575488).

23303312144 is an abundant number, since it is smaller than the sum of its proper divisors (30137838832).

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

23303312144 is a wasteful number, since it uses less digits than its factorization.

23303312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62484 (or 62478 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 23303312144 its reverse (44121330332), we get a palindrome (67424642476).

The spelling of 23303312144 in words is "twenty-three billion, three hundred three million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 71 94 112 142 188 284 329 376 497 568 658 752 994 1136 1316 1988 2632 3337 3976 5264 6674 7952 13348 23359 26696 46718 53392 62351 93436 124702 186872 249404 373744 436457 498808 872914 997616 1745828 2930497 3491656 4426921 5860994 6983312 8853842 11721988 17707684 20513479 23443976 30988447 35415368 41026958 46887952 61976894 70830736 82053916 123953788 164107832 208065287 247907576 328215664 416130574 495815152 832261148 1456457009 1664522296 2912914018 3329044592 5825828036 11651656072 23303312144