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1316402344144 = 242331361718523
BaseRepresentation
bin10011001001111111101…
…100011011000011010000
311122211212100020212102201
4103021333230123003100
5133031443000003034
62444425154452544
7164051451205606
oct23117754330320
94584770225381
101316402344144
11468312894108
12193164594154
13971a0332c14
14479ddb31876
1524398de4014
hex1327fb1b0d0

1316402344144 has 80 divisors (see below), whose sum is σ = 2674396720512. Its totient is φ = 626521319424.

The previous prime is 1316402344133. The next prime is 1316402344151. The reversal of 1316402344144 is 4414432046131.

It is a super-2 number, since 2×13164023441442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 71059267 + ... + 71077789.

Almost surely, 21316402344144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316402344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337198360256).

1316402344144 is an abundant number, since it is smaller than the sum of its proper divisors (1357994376368).

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

1316402344144 is a wasteful number, since it uses less digits than its factorization.

1316402344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19484 (or 19478 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 1316402344144 in words is "one trillion, three hundred sixteen billion, four hundred two million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 313 368 617 626 1234 1252 2468 2504 4936 5008 7199 9872 14191 14398 18523 28382 28796 37046 56764 57592 74092 113528 115184 148184 193121 227056 296368 386242 426029 772484 852058 1544968 1704116 3089936 3408232 4441783 5797699 6816464 8883566 11428691 11595398 17767132 22857382 23190796 35534264 45714764 46381592 71068528 91429528 92763184 133347077 182859056 262859893 266694154 525719786 533388308 1051439572 1066776616 2102879144 2133553232 3577180283 4205758288 7154360566 14308721132 28617442264 57234884528 82275146509 164550293018 329100586036 658201172072 1316402344144