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1024245440361 = 3211137310901911
BaseRepresentation
bin11101110011110011100…
…10010001111101101001
310121220202102111102001200
432321321302101331221
5113240123313042421
62102310514234413
7133666520411043
oct16717162217551
93556672442050
101024245440361
1136541a938110
12146609885a09
137578039c060
14378064d2a93
151b99a08a726
hexee79c91f69

1024245440361 has 48 divisors (see below), whose sum is σ = 1761923409792. Its totient is φ = 565155014400.

The previous prime is 1024245440297. The next prime is 1024245440401. The reversal of 1024245440361 is 1630445424201.

1024245440361 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 245 + 4 + 403 + 6 + 1 = 666.

It is not a de Polignac number, because 1024245440361 - 26 = 1024245440297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1024243440361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5357005 + ... + 5544906.

It is an arithmetic number, because the mean of its divisors is an integer number (36706737704).

Almost surely, 21024245440361 is an apocalyptic number.

1024245440361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1024245440361 is a deficient number, since it is larger than the sum of its proper divisors (737677969431).

1024245440361 is a wasteful number, since it uses less digits than its factorization.

1024245440361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10902014 (or 10902011 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

It can be divided in two parts, 102424 and 5440361, that added together give a triangular number (5542785 = T3329).

The spelling of 1024245440361 in words is "one trillion, twenty-four billion, two hundred forty-five million, four hundred forty thousand, three hundred sixty-one".

Divisors: 1 3 9 11 13 33 39 73 99 117 143 219 429 657 803 949 1287 2409 2847 7227 8541 10439 31317 93951 10901911 32705733 98117199 119921021 141724843 359763063 425174529 795839503 1079289189 1275523587 1558973273 2387518509 4676919819 7162555527 8754234533 10345913539 14030759457 26262703599 31037740617 78788110797 93113221851 113805048929 341415146787 1024245440361