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14323677024 = 253437874409
BaseRepresentation
bin11010101011100000…
…11111011101100000
31100222020112011222110
431111300133131200
5213313330131044
610325154035320
71014645150216
oct152560373540
940866464873
1014323677024
116090384608
122938b78b40
1314736a9947
1499c490cb6
1558c76c6b9
hex355c1f760

14323677024 has 96 divisors (see below), whose sum is σ = 38531687040. Its totient is φ = 4656540672.

The previous prime is 14323677023. The next prime is 14323677031. The reversal of 14323677024 is 42077632341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14323677023) 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, 3246532 + ... + 3250940.

It is an arithmetic number, because the mean of its divisors is an integer number (401371740).

Almost surely, 214323677024 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 14323677024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265843520).

14323677024 is an abundant number, since it is smaller than the sum of its proper divisors (24208010016).

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

14323677024 is a wasteful number, since it uses less digits than its factorization.

14323677024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 14323677024 in words is "fourteen billion, three hundred twenty-three million, six hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 787 1032 1376 1574 2064 2361 3148 4128 4409 4722 6296 8818 9444 12592 13227 17636 18888 25184 26454 33841 35272 37776 52908 67682 70544 75552 101523 105816 135364 141088 189587 203046 211632 270728 379174 406092 423264 541456 568761 758348 812184 1082912 1137522 1516696 1624368 2275044 3033392 3248736 3469883 4550088 6066784 6939766 9100176 10409649 13879532 18200352 20819298 27759064 41638596 55518128 83277192 111036256 149204969 166554384 298409938 333108768 447614907 596819876 895229814 1193639752 1790459628 2387279504 3580919256 4774559008 7161838512 14323677024