Search a number
-
+
231334213344 = 25313185363953
BaseRepresentation
bin1101011101110010010…
…1111111011011100000
3211010010002010122111120
43113130211333123200
512242233024311334
6254135023012240
722466451240453
oct3273445773340
9733102118446
10231334213344
118a121150493
1238a0143a080
1318a78c3ac10
14b2a77d549a
15603e29a949
hex35dc97f6e0

231334213344 has 48 divisors (see below), whose sum is σ = 653964029712. Its totient is φ = 71179757568.

The previous prime is 231334213343. The next prime is 231334213391. The reversal of 231334213344 is 443312433132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231334213343) 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 7 ways as a sum of consecutive naturals, for example, 92680729 + ... + 92683224.

It is an arithmetic number, because the mean of its divisors is an integer number (13624250619).

Almost surely, 2231334213344 is an apocalyptic number.

231334213344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231334213344 is an abundant number, since it is smaller than the sum of its proper divisors (422629816368).

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

231334213344 is a wasteful number, since it uses less digits than its factorization.

231334213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185363979 (or 185363971 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 231334213344 its reverse (443312433132), we get a palindrome (674646646476).

The spelling of 231334213344 in words is "two hundred thirty-one billion, three hundred thirty-four million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 185363953 370727906 556091859 741455812 1112183718 1482911624 2224367436 2409731389 2965823248 4448734872 4819462778 5931646496 7229194167 8897469744 9638925556 14458388334 17794939488 19277851112 28916776668 38555702224 57833553336 77111404448 115667106672 231334213344