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1364545240040 = 23557557592693
BaseRepresentation
bin10011110110110101001…
…110111111101111101000
311211110010111121101011002
4103312311032333233220
5134324042040140130
62522510300054132
7200404463110643
oct23666516775750
94743114541132
101364545240040
1148677823a384
121a055b534348
139b8a340aa78
144a089962a5a
1525765700b45
hex13db53bfbe8

1364545240040 has 32 divisors (see below), whose sum is σ = 3070285312680. Its totient is φ = 545807692032.

The previous prime is 1364545239991. The next prime is 1364545240057. The reversal of 1364545240040 is 400425454631.

It can be written as a sum of positive squares in 4 ways, for example, as 653326257796 + 711218982244 = 808286^2 + 843338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1364545239976 and 1364545240003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2005934 + ... + 2598626.

Almost surely, 21364545240040 is an apocalyptic number.

1364545240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364545240040 is an abundant number, since it is smaller than the sum of its proper divisors (1705740072640).

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

1364545240040 is a wasteful number, since it uses less digits than its factorization.

1364545240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650261 (or 650257 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 1364545240040 in words is "one trillion, three hundred sixty-four billion, five hundred forty-five million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 57557 115114 230228 287785 460456 575570 592693 1151140 1185386 2302280 2370772 2963465 4741544 5926930 11853860 23707720 34113631001 68227262002 136454524004 170568155005 272909048008 341136310010 682272620020 1364545240040