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1312643356444 = 227471498637757
BaseRepresentation
bin10011000110011111101…
…001000001011100011100
311122111011101001111201001
4103012133221001130130
5133001243144401234
62443004154400044
7163556345302030
oct23063751013434
94574141044631
101312643356444
11466763a55002
12192495730024
1396a21628044
14477647d81c0
1524228dc9d14
hex1319fa4171c

1312643356444 has 96 divisors (see below), whose sum is σ = 2702614118400. Its totient is φ = 546192659712.

The previous prime is 1312643356441. The next prime is 1312643356447. The reversal of 1312643356444 is 4446533462131.

It is an interprime number because it is at equal distance from previous prime (1312643356441) and next prime (1312643356447).

It is a junction number, because it is equal to n+sod(n) for n = 1312643356394 and 1312643356403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312643356441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169216614 + ... + 169224370.

It is an arithmetic number, because the mean of its divisors is an integer number (28152230400).

Almost surely, 21312643356444 is an apocalyptic number.

1312643356444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312643356444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351307059200).

1312643356444 is an abundant number, since it is smaller than the sum of its proper divisors (1389970761956).

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

1312643356444 is a wasteful number, since it uses less digits than its factorization.

1312643356444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8827 (or 8825 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 46.

The spelling of 1312643356444 in words is "one trillion, three hundred twelve billion, six hundred forty-three million, three hundred fifty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 47 94 149 188 298 329 596 658 863 1043 1316 1726 2086 3452 4172 6041 7003 7757 12082 14006 15514 24164 28012 31028 40561 49021 54299 81122 98042 108598 128587 162244 196084 217196 257174 283927 364579 514348 567854 729158 900109 1135708 1155793 1458316 1800218 2311586 2552053 3600436 4623172 5104106 6043589 6694291 8090551 10208212 12087178 13388582 16181102 24174356 26777164 32362204 42305123 46860037 54322271 84610246 93720074 108644542 169220492 187440148 217289084 314631677 380255897 629263354 760511794 997449359 1258526708 1521023588 1994898718 2202421739 3989797436 4404843478 6982145513 8809686956 13964291026 27928582052 46880119873 93760239746 187520479492 328160839111 656321678222 1312643356444