Search a number
-
+
40525235505 = 3255365326021
BaseRepresentation
bin100101101111011111…
…100000010100110001
310212121021101021011100
4211233133200110301
51130443430014010
630341140235013
72633152550436
oct455737402461
9125537337140
1040525235505
1116206491277
127a2b99ba69
133a8ab31ac1
141d66251b8d
1510c2b872c0
hex96f7e0531

40525235505 has 48 divisors (see below), whose sum is σ = 71681450256. Its totient is φ = 21172369920.

The previous prime is 40525235497. The next prime is 40525235519. The reversal of 40525235505 is 50553252504.

40525235505 is a `hidden beast` number, since 4 + 0 + 52 + 52 + 3 + 550 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2162529009 + 38362706496 = 46503^2 + 195864^2 .

It is not a de Polignac number, because 40525235505 - 23 = 40525235497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40525235505.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1544395 + ... + 1570415.

It is an arithmetic number, because the mean of its divisors is an integer number (1493363547).

Almost surely, 240525235505 is an apocalyptic number.

40525235505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40525235505 is a deficient number, since it is larger than the sum of its proper divisors (31156214751).

40525235505 is a wasteful number, since it uses less digits than its factorization.

40525235505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738 (or 26735 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The spelling of 40525235505 in words is "forty billion, five hundred twenty-five million, two hundred thirty-five thousand, five hundred five".

Divisors: 1 3 5 9 15 45 53 159 265 477 653 795 1959 2385 3265 5877 9795 26021 29385 34609 78063 103827 130105 173045 234189 311481 390315 519135 1170945 1379113 1557405 4137339 6895565 12412017 16991713 20686695 50975139 62060085 84958565 152925417 254875695 764627085 900560789 2701682367 4502803945 8105047101 13508411835 40525235505