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36440641341 = 351311535499
BaseRepresentation
bin100001111100000010…
…000000111100111101
310111001121111101100000
4201330002000330331
51044112301010331
624423545224513
72430014224566
oct417402007475
9114047441300
1036440641341
11144aa879215
12708ba92139
133589831b90
141a9999b16d
15e342a20e6
hex87c080f3d

36440641341 has 24 divisors (see below), whose sum is σ = 58784908000. Its totient is φ = 22425008112.

The previous prime is 36440641333. The next prime is 36440641381. The reversal of 36440641341 is 14314604463.

36440641341 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 0 + 641 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 36440641341 - 23 = 36440641333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36440641296 and 36440641305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36440641301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5764591 + ... + 5770908.

Almost surely, 236440641341 is an apocalyptic number.

It is an amenable number.

36440641341 is a deficient number, since it is larger than the sum of its proper divisors (22344266659).

36440641341 is a wasteful number, since it uses less digits than its factorization.

36440641341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535527 (or 11535515 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 36440641341 in words is "thirty-six billion, four hundred forty million, six hundred forty-one thousand, three hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 11535499 34606497 103819491 149961487 311458473 449884461 934375419 1349653383 2803126257 4048960149 12146880447 36440641341