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313442014032 = 24327444170019
BaseRepresentation
bin1001000111110101001…
…10011001001101010000
31002222001022110002110200
410203322212121031100
520113412123422112
6355554314055200
731434246105540
oct4437246311520
91088038402420
10313442014032
11110a25933404
12508b711a500
1323732962374
141125648b320
158247822cdc
hex48fa999350

313442014032 has 120 divisors (see below), whose sum is σ = 1002756980160. Its totient is φ = 89533416960.

The previous prime is 313442014021. The next prime is 313442014043. The reversal of 313442014032 is 230410244313.

313442014032 is a `hidden beast` number, since 3 + 13 + 44 + 201 + 403 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (313442014021) and next prime (313442014043).

It is a junction number, because it is equal to n+sod(n) for n = 313442013987 and 313442014005.

It is a congruent number.

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, 4441519 + ... + 4511537.

It is an arithmetic number, because the mean of its divisors is an integer number (8356308168).

Almost surely, 2313442014032 is an apocalyptic number.

It is an amenable number.

313442014032 is an abundant number, since it is smaller than the sum of its proper divisors (689314966128).

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

313442014032 is a wasteful number, since it uses less digits than its factorization.

313442014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74481 (or 74472 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 313442014032 its reverse (230410244313), we get a palindrome (543852258345).

The spelling of 313442014032 in words is "three hundred thirteen billion, four hundred forty-two million, fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4441 8882 13323 17764 26646 31087 35528 39969 53292 62174 70019 71056 79938 93261 106584 124348 140038 159876 186522 210057 213168 248696 279783 280076 319752 373044 420114 490133 497392 559566 560152 630171 639504 746088 840228 980266 1119132 1120304 1260342 1470399 1492176 1680456 1960532 2238264 2520684 2940798 3360912 3921064 4411197 4476528 5041368 5881596 7842128 8822394 10082736 11763192 17644788 23526384 35289576 70579152 310954379 621908758 932863137 1243817516 1865726274 2176680653 2487635032 2798589411 3731452548 4353361306 4975270064 5597178822 6530041959 7462905096 8706722612 11194357644 13060083918 14925810192 17413445224 19590125877 22388715288 26120167836 34826890448 39180251754 44777430576 52240335672 78360503508 104480671344 156721007016 313442014032