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40704256746 = 2324372077297
BaseRepresentation
bin100101111010001010…
…011010101011101010
310220001202020111010200
4211322022122223222
51131330242203441
630411013253030
72640455321316
oct457212325352
9126052214120
1040704256746
111629854560a
127a7b934176
133ab8c5232a
141d81d32b46
1510d374a7b6
hex97a29aaea

40704256746 has 48 divisors (see below), whose sum is σ = 90268436544. Its totient is φ = 13248893952.

The previous prime is 40704256741. The next prime is 40704256751. The reversal of 40704256746 is 64765240704.

40704256746 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 42 + 567 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (40704256741) and next prime (40704256751).

It is a super-3 number, since 3×407042567463 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40704256741) 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 23 ways as a sum of consecutive naturals, for example, 5574570 + ... + 5581866.

It is an arithmetic number, because the mean of its divisors is an integer number (1880592428).

Almost surely, 240704256746 is an apocalyptic number.

40704256746 is an abundant number, since it is smaller than the sum of its proper divisors (49564179798).

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

40704256746 is a wasteful number, since it uses less digits than its factorization.

40704256746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14555 (or 14552 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 40704256746 in words is "forty billion, seven hundred four million, two hundred fifty-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 7207 7297 14414 14594 21621 21891 43242 43782 64863 65673 129726 131346 309901 313771 619802 627542 929703 941313 1859406 1882626 2789109 2823939 5578218 5647878 52589479 105178958 157768437 315536874 473305311 946610622 2261347597 4522695194 6784042791 13568085582 20352128373 40704256746