Search a number
-
+
40019675625 = 325412595651
BaseRepresentation
bin100101010001010110…
…111100100111101001
310211022001002011101100
4211101112330213221
51123430014110000
630215040312013
72614503426066
oct452126744751
9124261064340
1040019675625
1115a77077696
12790a612609
133a0a181147
141d1904dc6d
1510935c1a00
hex9515bc9e9

40019675625 has 60 divisors (see below), whose sum is σ = 72304792560. Its totient is φ = 21323100000.

The previous prime is 40019675593. The next prime is 40019675627. The reversal of 40019675625 is 52657691004.

40019675625 is a `hidden beast` number, since 4 + 0 + 0 + 19 + 6 + 7 + 5 + 625 = 666.

It is not a de Polignac number, because 40019675625 - 25 = 40019675593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40019675627) 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 59 ways as a sum of consecutive naturals, for example, 7079050 + ... + 7084700.

It is an arithmetic number, because the mean of its divisors is an integer number (1205079876).

Almost surely, 240019675625 is an apocalyptic number.

40019675625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40019675625 is a deficient number, since it is larger than the sum of its proper divisors (32285116935).

40019675625 is a wasteful number, since it uses less digits than its factorization.

40019675625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 40019675625 in words is "forty billion, nineteen million, six hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1259 1875 3777 5625 5651 6295 11331 16953 18885 28255 31475 50859 56655 84765 94425 141275 157375 254295 283275 423825 472125 706375 786875 1271475 1416375 2119125 2360625 3531875 6357375 7081875 7114609 10595625 21343827 31786875 35573045 64031481 106719135 177865225 320157405 533595675 889326125 1600787025 2667978375 4446630625 8003935125 13339891875 40019675625