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1345312643643 = 33314734197937
BaseRepresentation
bin10011100100111010111…
…000011101101000111011
311202121111011002020202000
4103210322320131220323
5134020200014044033
62510010022512043
7166124046536223
oct23447270355073
94677434066660
101345312643643
114795a8a08011
12198892595623
1399b29a12307
144918355d083
1524edc01da13
hex1393ae1da3b

1345312643643 has 32 divisors (see below), whose sum is σ = 2101121310720. Its totient is φ = 849476730240.

The previous prime is 1345312643641. The next prime is 1345312643651. The reversal of 1345312643643 is 3463462135431.

1345312643643 is a `hidden beast` number, since 1 + 3 + 4 + 53 + 126 + 436 + 43 = 666.

It is not a de Polignac number, because 1345312643643 - 21 = 1345312643641 is a prime.

It is a super-2 number, since 2×13453126436432 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345312643641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17059630 + ... + 17138307.

It is an arithmetic number, because the mean of its divisors is an integer number (65660040960).

Almost surely, 21345312643643 is an apocalyptic number.

1345312643643 is a deficient number, since it is larger than the sum of its proper divisors (755808667077).

1345312643643 is a wasteful number, since it uses less digits than its factorization.

1345312643643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34198024 (or 34198018 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 1345312643643 in words is "one trillion, three hundred forty-five billion, three hundred twelve million, six hundred forty-three thousand, six hundred forty-three".

Divisors: 1 3 9 27 31 47 93 141 279 423 837 1269 1457 4371 13113 39339 34197937 102593811 307781433 923344299 1060136047 1607303039 3180408141 4821909117 9541224423 14465727351 28623673269 43397182053 49826394209 149479182627 448437547881 1345312643643