Search a number
-
+
24132033023142 = 23111919244045473
BaseRepresentation
bin1010111110010101011010…
…10000011000110010100110
310011102222222212120201200010
411133022231100120302212
511130334400423220032
6123154034122031050
75040324163143402
oct537125520306246
9104388885521603
1024132033023142
117764379580150
122858b49048486
131060844221365
145d5dd4a7a102
152bcae23dbccc
hex15f2ad418ca6

24132033023142 has 32 divisors (see below), whose sum is σ = 55422850965120. Its totient is φ = 6927856369920.

The previous prime is 24132033023141. The next prime is 24132033023171.

It is a happy number.

24132033023142 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24132033023141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9622021483 + ... + 9622023990.

It is an arithmetic number, because the mean of its divisors is an integer number (1731964092660).

Almost surely, 224132033023142 is an apocalyptic number.

24132033023142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24132033023142 is an abundant number, since it is smaller than the sum of its proper divisors (31290817941978).

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

24132033023142 is a wasteful number, since it uses less digits than its factorization.

24132033023142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19244045508.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2413203 and 3023142, that added together give a palindrome (5436345).

The spelling of 24132033023142 in words is "twenty-four trillion, one hundred thirty-two billion, thirty-three million, twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 19244045473 38488090946 57732136419 115464272838 211684500203 365636863987 423369000406 635053500609 731273727974 1096910591961 1270107001218 2193821183922 4022005503857 8044011007714 12066016511571 24132033023142