Search a number
-
+
231142324304 = 24172929303033
BaseRepresentation
bin1101011101000100100…
…1111111100001010000
3211002121201001200020002
43113101021333201100
512241334413334204
6254104010105132
722461631224263
oct3272111774120
9732551050202
10231142324304
118a0328a8401
123896911b1a8
1318a482636c8
14b28a124cda
15602c4e491e
hex35d127f850

231142324304 has 40 divisors (see below), whose sum is σ = 490532789160. Its totient is φ = 105022066688.

The previous prime is 231142324297. The next prime is 231142324307. The reversal of 231142324304 is 403423241132.

231142324304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73495210000 + 157647114304 = 271100^2 + 397048^2 .

It is a super-3 number, since 3×2311423243043 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231142324307) 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 7 ways as a sum of consecutive naturals, for example, 14643629 + ... + 14659404.

It is an arithmetic number, because the mean of its divisors is an integer number (12263319729).

Almost surely, 2231142324304 is an apocalyptic number.

It is an amenable number.

231142324304 is an abundant number, since it is smaller than the sum of its proper divisors (259390464856).

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

231142324304 is a wasteful number, since it uses less digits than its factorization.

231142324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29303087 (or 29303081 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 231142324304 its reverse (403423241132), we get a palindrome (634565565436).

The spelling of 231142324304 in words is "two hundred thirty-one billion, one hundred forty-two million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 29303033 58606066 117212132 234424264 468848528 498151561 849787957 996303122 1699575914 1992606244 3399151828 3985212488 6798303656 7970424976 13596607312 14446395269 28892790538 57785581076 115571162152 231142324304