Search a number
-
+
40275575568 = 2434176432843
BaseRepresentation
bin100101100000100111…
…001000001100010000
310211221212121020010000
4211200213020030100
51124441021404233
630300301210000
72624031513054
oct454047101420
9124855536100
1040275575568
1116098570048
127980260900
133a4b1ab127
141d41023c64
1510aacbdd13
hex9609c8310

40275575568 has 200 divisors, whose sum is σ = 123661647648. Its totient is φ = 12611386368.

The previous prime is 40275575567. The next prime is 40275575581. The reversal of 40275575568 is 86557557204.

40275575568 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 5 + 5 + 75 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40275575567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14165155 + ... + 14167997.

Almost surely, 240275575568 is an apocalyptic number.

40275575568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40275575568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61830823824).

40275575568 is an abundant number, since it is smaller than the sum of its proper divisors (83386072080).

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

40275575568 is a wasteful number, since it uses less digits than its factorization.

40275575568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 40275575568 in words is "forty billion, two hundred seventy-five million, five hundred seventy-five thousand, five hundred sixty-eight".