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314115442568 = 2359219735717
BaseRepresentation
bin1001001001000101011…
…11010100011110001000
31010000210020121210202022
410210202233110132020
520121302023130233
6400145212024012
731460034131204
oct4444257243610
91100706553668
10314115442568
11111240a84214
1250a64762008
132380c32a1a5
14112bbaa9b04
1582869e7398
hex4922bd4788

314115442568 has 48 divisors (see below), whose sum is σ = 599526639180. Its totient is φ = 154290478976.

The previous prime is 314115442567. The next prime is 314115442633. The reversal of 314115442568 is 865244511413.

It can be written as a sum of positive squares in 2 ways, for example, as 310335898084 + 3779544484 = 557078^2 + 61478^2 .

It is a super-2 number, since 2×3141154425682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314115442561) 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 11 ways as a sum of consecutive naturals, for example, 54941246 + ... + 54946962.

Almost surely, 2314115442568 is an apocalyptic number.

It is an amenable number.

314115442568 is a deficient number, since it is larger than the sum of its proper divisors (285411196612).

314115442568 is a wasteful number, since it uses less digits than its factorization.

314115442568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814 (or 7751 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The spelling of 314115442568 in words is "three hundred fourteen billion, one hundred fifteen million, four hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 59 118 236 472 1973 3481 3946 5717 6962 7892 11434 13924 15784 22868 27848 45736 116407 232814 337303 465628 674606 931256 1349212 2698424 6868013 11279641 13736026 19900877 22559282 27472052 39801754 45118564 54944104 79603508 90237128 159207016 665498819 1330997638 2661995276 5323990552 39264430321 78528860642 157057721284 314115442568