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2431344213444 = 2232937918434357
BaseRepresentation
bin100011011000010111011…
…010000111110111000100
322121102201120002020112010
4203120113122013313010
5304313343104312234
65100535532254220
7340441655552406
oct43302732076704
98542646066463
102431344213444
11858144472713
12333264311370
131483758b3073
148596b80ab76
15433a15256e9
hex23617687dc4

2431344213444 has 48 divisors (see below), whose sum is σ = 5884247073600. Its totient is φ = 780436895616.

The previous prime is 2431344213443. The next prime is 2431344213577. The reversal of 2431344213444 is 4443124431342.

It is a happy number.

2431344213444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24313442134442 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2431344213443) 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, 9085287 + ... + 9349070.

It is an arithmetic number, because the mean of its divisors is an integer number (122588480700).

Almost surely, 22431344213444 is an apocalyptic number.

It is an amenable number.

2431344213444 is an abundant number, since it is smaller than the sum of its proper divisors (3452902860156).

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

2431344213444 is a wasteful number, since it uses less digits than its factorization.

2431344213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18434772 (or 18434770 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

Adding to 2431344213444 its reverse (4443124431342), we get a palindrome (6874468644786).

The spelling of 2431344213444 in words is "two trillion, four hundred thirty-one billion, three hundred forty-four million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 379 758 1137 1516 2274 4548 10991 21982 32973 43964 65946 131892 18434357 36868714 55303071 73737428 110606142 221212284 534596353 1069192706 1603789059 2138385412 3207578118 6415156236 6986621303 13973242606 20959863909 27946485212 41919727818 83839455636 202612017787 405224035574 607836053361 810448071148 1215672106722 2431344213444