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314143330304 = 212247331013
BaseRepresentation
bin1001001001001000110…
…01101101000000000000
31010000212012002122112102
410210210121231000000
520121331143032204
6400152045445532
731460523151436
oct4444431550000
91100765078472
10314143330304
111112557a1731
1250a71b708a8
13238150428cb
14112c1688d56
1582891a541e
hex492466d000

314143330304 has 52 divisors (see below), whose sum is σ = 628484257476. Its totient is φ = 157003087872.

The previous prime is 314143330297. The next prime is 314143330337. The reversal of 314143330304 is 403033341413.

It can be written as a sum of positive squares in 2 ways, for example, as 83313049600 + 230830280704 = 288640^2 + 480448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10113902 + ... + 10144914.

Almost surely, 2314143330304 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 314143330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314242128738).

314143330304 is an abundant number, since it is smaller than the sum of its proper divisors (314340927172).

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

314143330304 is an equidigital number, since it uses as much as digits as its factorization.

314143330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33510 (or 33488 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 314143330304 its reverse (403033341413), we get a palindrome (717176671717).

The spelling of 314143330304 in words is "three hundred fourteen billion, one hundred forty-three million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2473 4096 4946 9892 19784 31013 39568 62026 79136 124052 158272 248104 316544 496208 633088 992416 1266176 1984832 2532352 3969664 5064704 7939328 10129408 15878656 31757312 63514624 76695149 127029248 153390298 306780596 613561192 1227122384 2454244768 4908489536 9816979072 19633958144 39267916288 78535832576 157071665152 314143330304