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40320212142208 = 271072943940723
BaseRepresentation
bin10010010101011110001111…
…11011000000100010000000
312021202120111220120020201011
421022233013323000202000
520241101243302022313
6221430503313450304
711331016305251365
oct1112570773004200
9167676456506634
1040320212142208
1111935784676a29
1246323b1570994
131966244a19c1b
149d5719b6646c
1549dc4ba9d93d
hex24abc7ec0880

40320212142208 has 32 divisors (see below), whose sum is σ = 81076127538960. Its totient is φ = 19971693858048.

The previous prime is 40320212142193. The next prime is 40320212142209. The reversal of 40320212142208 is 80224121202304.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40320212142208.

It is not an unprimeable number, because it can be changed into a prime (40320212142209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1471956666 + ... + 1471984057.

Almost surely, 240320212142208 is an apocalyptic number.

It is an amenable number.

40320212142208 is an abundant number, since it is smaller than the sum of its proper divisors (40755915396752).

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

40320212142208 is a wasteful number, since it uses less digits than its factorization.

40320212142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943940844 (or 2943940832 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 40320212142208 in words is "forty trillion, three hundred twenty billion, two hundred twelve million, one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 6848 13696 2943940723 5887881446 11775762892 23551525784 47103051568 94206103136 188412206272 315001657361 376824412544 630003314722 1260006629444 2520013258888 5040026517776 10080053035552 20160106071104 40320212142208