Search a number
-
+
40552421256 = 23372317811
BaseRepresentation
bin100101110001000111…
…001101011110001000
310212200011112110000000
4211301013031132020
51131022404440011
630343551043000
72633632615254
oct456107153610
9125604473000
1040552421256
111621a86a336
127a38b10460
133a9365cb49
141d69acb264
1510c5257356
hex9711cd788

40552421256 has 64 divisors (see below), whose sum is σ = 114036350400. Its totient is φ = 13517467920.

The previous prime is 40552421243. The next prime is 40552421263. The reversal of 40552421256 is 65212425504.

40552421256 is a `hidden beast` number, since 4 + 0 + 5 + 524 + 2 + 125 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40552421256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141410 + ... + 1176401.

It is an arithmetic number, because the mean of its divisors is an integer number (1781817975).

Almost surely, 240552421256 is an apocalyptic number.

It is an amenable number.

40552421256 is an abundant number, since it is smaller than the sum of its proper divisors (73483929144).

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

40552421256 is an equidigital number, since it uses as much as digits as its factorization.

40552421256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317838 (or 2317816 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 40552421256 in words is "forty billion, five hundred fifty-two million, four hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 2317811 4635622 6953433 9271244 13906866 18542488 20860299 27813732 41720598 55627464 62580897 83441196 125161794 166882392 187742691 250323588 375485382 500647176 563228073 750970764 1126456146 1501941528 1689684219 2252912292 3379368438 4505824584 5069052657 6758736876 10138105314 13517473752 20276210628 40552421256