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1314442402344 = 233261299281057
BaseRepresentation
bin10011001000001010110…
…111110101101000101000
311122122210202021111201200
4103020022313311220220
5133013434223333334
62443502502244200
7163652052033561
oct23101267655050
94578722244650
101314442402344
114674a75178a5
121928b8126660
1396c4a272a46
1447895703168
15242d1ce5799
hex1320adf5a28

1314442402344 has 48 divisors (see below), whose sum is σ = 3618307991220. Its totient is φ = 430964720640.

The previous prime is 1314442402303. The next prime is 1314442402421. The reversal of 1314442402344 is 4432042444131.

1314442402344 is a `hidden beast` number, since 1 + 31 + 4 + 44 + 240 + 2 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1080996884100 + 233445518244 = 1039710^2 + 483162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1314442402299 and 1314442402308.

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 11 ways as a sum of consecutive naturals, for example, 149636137 + ... + 149644920.

Almost surely, 21314442402344 is an apocalyptic number.

It is an amenable number.

1314442402344 is an abundant number, since it is smaller than the sum of its proper divisors (2303865588876).

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

1314442402344 is a wasteful number, since it uses less digits than its factorization.

1314442402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299281130 (or 299281123 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1314442402344 its reverse (4432042444131), we get a palindrome (5746484846475).

The spelling of 1314442402344 in words is "one trillion, three hundred fourteen billion, four hundred forty-two million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 299281057 598562114 897843171 1197124228 1795686342 2394248456 2693529513 3591372684 5387059026 7182745368 10774118052 18256144477 21548236104 36512288954 54768433431 73024577908 109536866862 146049155816 164305300293 219073733724 328610600586 438147467448 657221201172 1314442402344