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315213102344 = 23724724170991
BaseRepresentation
bin1001001011001000010…
…10100011110100001000
31010010121202001200220002
410211210022203310020
520131024023233334
6400450142422132
731526163106400
oct4454412436410
91103552050802
10315213102344
11111754640258
1251110291948
132395586b90a
1411383799800
1582ed069b7e
hex49642a3d08

315213102344 has 96 divisors (see below), whose sum is σ = 705069826560. Its totient is φ = 131666572800.

The previous prime is 315213102299. The next prime is 315213102403. The reversal of 315213102344 is 443201312513.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4404689 + ... + 4475679.

It is an arithmetic number, because the mean of its divisors is an integer number (7344477360).

Almost surely, 2315213102344 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 315213102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352534913280).

315213102344 is an abundant number, since it is smaller than the sum of its proper divisors (389856724216).

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

315213102344 is a wasteful number, since it uses less digits than its factorization.

315213102344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71299 (or 71288 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 315213102344 its reverse (443201312513), we get a palindrome (758414414857).

The spelling of 315213102344 in words is "three hundred fifteen billion, two hundred thirteen million, one hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 241 329 376 392 482 658 964 1316 1687 1928 2303 2632 3374 4606 6748 9212 11327 11809 13496 18424 22654 23618 45308 47236 70991 79289 90616 94472 141982 158578 283964 317156 496937 555023 567928 634312 993874 1110046 1987748 2220092 3336577 3478559 3975496 4440184 6673154 6957118 13346308 13914236 17108831 23356039 26692616 27828472 34217662 46712078 68435324 93424156 119761817 136870648 163492273 186848312 239523634 326984546 479047268 653969092 804115057 838332719 958094536 1307938184 1608230114 1676665438 3216460228 3353330876 5628805399 6432920456 6706661752 11257610798 22515221596 39401637793 45030443192 78803275586 157606551172 315213102344