Search a number
-
+
40123272057252 = 2231719471823120817
BaseRepresentation
bin10010001111101111011010…
…11000001101000110100100
312021001202011211001100112120
421013313231120031012210
520224334430121313002
6221200213212145540
711310545041201446
oct1107675530150644
9167052154040476
1040123272057252
111186a20307923a
1246001aa7682b0
1319507ba62c687
149c9d96206496
15498a720a5cbc
hex247ded60d1a4

40123272057252 has 192 divisors, whose sum is σ = 106624803962880. Its totient is φ = 11664956841984.

The previous prime is 40123272057229. The next prime is 40123272057257. The reversal of 40123272057252 is 25275027232104.

40123272057252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40123272057257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332039148 + ... + 332159964.

It is an arithmetic number, because the mean of its divisors is an integer number (555337520640).

Almost surely, 240123272057252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40123272057252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53312401981440).

40123272057252 is an abundant number, since it is smaller than the sum of its proper divisors (66501531905628).

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

40123272057252 is a wasteful number, since it uses less digits than its factorization.

40123272057252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122730 (or 122728 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

Adding to 40123272057252 its reverse (25275027232104), we get a palindrome (65398299289356).

The spelling of 40123272057252 in words is "forty trillion, one hundred twenty-three billion, two hundred seventy-two million, fifty-seven thousand, two hundred fifty-two".