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314043432024 = 23376130644363
BaseRepresentation
bin1001001000111100111…
…00100111110001011000
31010000121020010021212010
410210132130213301120
520121130104311044
6400134120345520
731455201062010
oct4443634476130
91100536107763
10314043432024
1111120436a673
1250a446152a0
13237ca4364ba
14112b22c2c40
158280520bb9
hex491e727c58

314043432024 has 64 divisors (see below), whose sum is σ = 911976272640. Its totient is φ = 88255762560.

The previous prime is 314043431993. The next prime is 314043432041. The reversal of 314043432024 is 420234340413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314043431982 and 314043432000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15311934 + ... + 15332429.

It is an arithmetic number, because the mean of its divisors is an integer number (14249629260).

Almost surely, 2314043432024 is an apocalyptic number.

It is an amenable number.

314043432024 is an abundant number, since it is smaller than the sum of its proper divisors (597932840616).

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

314043432024 is a wasteful number, since it uses less digits than its factorization.

314043432024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30644440 (or 30644436 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 314043432024 its reverse (420234340413), we get a palindrome (734277772437).

The spelling of 314043432024 in words is "three hundred fourteen billion, forty-three million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 30644363 61288726 91933089 122577452 183866178 214510541 245154904 367732356 429021082 643531623 735464712 858042164 1287063246 1716084328 1869306143 2574126492 3738612286 5148252984 5607918429 7477224572 11215836858 13085143001 14954449144 22431673716 26170286002 39255429003 44863347432 52340572004 78510858006 104681144008 157021716012 314043432024