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313486023296 = 2719261111217
BaseRepresentation
bin1001000111111010011…
…10010001101010000000
31002222011101020222211102
410203331032101222000
520114004410221141
6400002525233532
731435322142455
oct4437516215200
91088141228742
10313486023296
11110a487621a6
1250909a028a8
132373bb00a54
141125c26582c
15824b61799b
hex48fd391a80

313486023296 has 96 divisors (see below), whose sum is σ = 669933856980. Its totient is φ = 146057748480.

The previous prime is 313486023293. The next prime is 313486023307. The reversal of 313486023296 is 692320684313.

It can be written as a sum of positive squares in 2 ways, for example, as 306623557696 + 6862465600 = 553736^2 + 82840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313486023296.

It is not an unprimeable number, because it can be changed into a prime (313486023293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2763080 + ... + 2874296.

Almost surely, 2313486023296 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 313486023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334966928490).

313486023296 is an abundant number, since it is smaller than the sum of its proper divisors (356447833684).

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

313486023296 is a wasteful number, since it uses less digits than its factorization.

313486023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111330 (or 111299 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 313486023296 in words is "three hundred thirteen billion, four hundred eighty-six million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 304 361 488 608 722 976 1159 1216 1444 1952 2318 2432 2888 3904 4636 5776 7808 9272 11552 18544 22021 23104 37088 44042 46208 74176 88084 111217 148352 176168 222434 352336 444868 704672 889736 1409344 1779472 2113123 2818688 3558944 4226246 6784237 7117888 8452492 13568474 14235776 16904984 27136948 33809968 40149337 54273896 67619936 80298674 108547792 128900503 135239872 160597348 217095584 257801006 270479744 321194696 434191168 515602012 642389392 868382336 1031204024 1284778784 2062408048 2449109557 2569557568 4124816096 4898219114 5139115136 8249632192 9796438228 16499264384 19592876456 39185752912 78371505824 156743011648 313486023296