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13362340915144 = 23131756411339813
BaseRepresentation
bin1100001001110010100110…
…0101010110011111001000
31202022102112111212011122201
43002130221211112133020
53222412033233241034
644230324043525544
72546253156512164
oct302345145263710
952272474764581
1013362340915144
114291a34100271
1215b9864b298b4
1375c0a92135a0
14342a52899ca4
151828b9d4d014
hexc27299567c8

13362340915144 has 64 divisors (see below), whose sum is σ = 28573891622640. Its totient is φ = 5803422474240.

The previous prime is 13362340915141. The next prime is 13362340915163. The reversal of 13362340915144 is 44151904326331.

It can be written as a sum of positive squares in 8 ways, for example, as 12890182284100 + 472158631044 = 3590290^2 + 687138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13362340915094 and 13362340915103.

It is not an unprimeable number, because it can be changed into a prime (13362340915141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9303382 + ... + 10643194.

Almost surely, 213362340915144 is an apocalyptic number.

It is an amenable number.

13362340915144 is an abundant number, since it is smaller than the sum of its proper divisors (15211550707496).

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

13362340915144 is a wasteful number, since it uses less digits than its factorization.

13362340915144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345490 (or 1345486 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 13362340915144 in words is "thirteen trillion, three hundred sixty-two billion, three hundred forty million, nine hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 5641 11282 22564 45128 73333 95897 146666 191794 293332 383588 586664 767176 1246661 1339813 2493322 2679626 4986644 5359252 9973288 10718504 17417569 22776821 34835138 45553642 69670276 91107284 139340552 182214568 296098673 592197346 1184394692 2368789384 7557885133 15115770266 30231540532 60463081064 98252506729 128484047261 196505013458 256968094522 393010026916 513936189044 786020053832 1027872378088 1670292614393 3340585228786 6681170457572 13362340915144