Search a number
-
+
1314234002256 = 24373911410721
BaseRepresentation
bin10011000111111110011…
…100110110101101010000
311122122021020010200112220
4103013332130312231100
5133013022401033011
62443430055421040
7163643641462260
oct23077634665520
94578236120486
101314234002256
114673aa91781a
1219285a384780
1396c16037196
1447875b757a0
15242bd87c506
hex131fe736b50

1314234002256 has 40 divisors (see below), whose sum is σ = 3880119436224. Its totient is φ = 375495429120.

The previous prime is 1314234002203. The next prime is 1314234002267. The reversal of 1314234002256 is 6522004324131.

It is a super-3 number, since 3×13142340022563 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1955705025 + ... + 1955705696.

Almost surely, 21314234002256 is an apocalyptic number.

1314234002256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1314234002256 is an abundant number, since it is smaller than the sum of its proper divisors (2565885433968).

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

1314234002256 is a wasteful number, since it uses less digits than its factorization.

1314234002256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911410739 (or 3911410733 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 1314234002256 its reverse (6522004324131), we get a palindrome (7836238326387).

The spelling of 1314234002256 in words is "one trillion, three hundred fourteen billion, two hundred thirty-four million, two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3911410721 7822821442 11734232163 15645642884 23468464326 27379875047 31291285768 46936928652 54759750094 62582571536 82139625141 93873857304 109519500188 164279250282 187747714608 219039000376 328558500564 438078000752 657117001128 1314234002256