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1314311235216 = 243723316788157
BaseRepresentation
bin10011001000000011000…
…011011110011010010000
311122122110121110112020220
4103020003003132122100
5133013202134011331
62443441455033040
7163645600112250
oct23100303363220
94578417415226
101314311235216
1146743a479011
1219288020b780
1396c29038c65
144788211b960
15242c5536296
hex132030de690

1314311235216 has 80 divisors (see below), whose sum is σ = 3897001540224. Its totient is φ = 373905810432.

The previous prime is 1314311235191. The next prime is 1314311235221. The reversal of 1314311235216 is 6125321134131.

It is a super-5 number, since 5×13143112352165 (a number of 62 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8315791 + ... + 8472366.

Almost surely, 21314311235216 is an apocalyptic number.

1314311235216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1314311235216 is an abundant number, since it is smaller than the sum of its proper divisors (2582690305008).

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

1314311235216 is a wasteful number, since it uses less digits than its factorization.

1314311235216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16788408 (or 16788402 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

Adding to 1314311235216 its reverse (6125321134131), we get a palindrome (7439632369347).

The spelling of 1314311235216 in words is "one trillion, three hundred fourteen billion, three hundred eleven million, two hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 9786 11184 13048 19572 26096 39144 78288 16788157 33576314 50364471 67152628 100728942 117517099 134305256 201457884 235034198 268610512 352551297 402915768 470068396 705102594 805831536 940136792 1410205188 1880273584 2820410376 3911640581 5640820752 7823281162 11734921743 15646562324 23469843486 27381484067 31293124648 46939686972 54762968134 62586249296 82144452201 93879373944 109525936268 164288904402 187758747888 219051872536 328577808804 438103745072 657155617608 1314311235216