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1314215046336 = 26327125257823
BaseRepresentation
bin10011000111111101010…
…100100010110011000000
311122122012220110121220210
4103013331110202303000
5133013003022440321
62443424141234120
7163643321402223
oct23077524426300
94578186417823
101314215046336
114673a014a975
12192853b62940
1396c1212b06a
144787343d5ba
15242bbd85b76
hex131fd522cc0

1314215046336 has 56 divisors (see below), whose sum is σ = 3490025089024. Its totient is φ = 436455164160.

The previous prime is 1314215046301. The next prime is 1314215046341. The reversal of 1314215046336 is 6336405124131.

It is a super-2 number, since 2×13142150463362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314215046294 and 1314215046303.

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 7 ways as a sum of consecutive naturals, for example, 12576880 + ... + 12680943.

Almost surely, 21314215046336 is an apocalyptic number.

1314215046336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1314215046336 is an abundant number, since it is smaller than the sum of its proper divisors (2175810042688).

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

1314215046336 is a wasteful number, since it uses less digits than its factorization.

1314215046336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25258109 (or 25258099 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 1314215046336 in words is "one trillion, three hundred fourteen billion, two hundred fifteen million, forty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 52032 25257823 50515646 75773469 101031292 151546938 202062584 303093876 404125168 606187752 808250336 1212375504 1616500672 2424751008 4849502016 6844870033 13689740066 20534610099 27379480132 41069220198 54758960264 82138440396 109517920528 164276880792 219035841056 328553761584 438071682112 657107523168 1314215046336