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313443114304 = 2619476778101
BaseRepresentation
bin1001000111110101010…
…10100101110101000000
31002222001101111222202111
410203322222211311000
520113412414124204
6355554353425104
731434261340405
oct4437252456500
91088041458674
10313443114304
11110a26515021
12508b756b194
1323732c59108
14112566962ac
15824798dd04
hex48faaa5d40

313443114304 has 112 divisors (see below), whose sum is σ = 669725579520. Its totient is φ = 145081497600.

The previous prime is 313443114289. The next prime is 313443114307. The reversal of 313443114304 is 403411344313.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313443114307) 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, 38687854 + ... + 38695954.

Almost surely, 2313443114304 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 313443114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334862789760).

313443114304 is an abundant number, since it is smaller than the sum of its proper divisors (356282465216).

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

313443114304 is a wasteful number, since it uses less digits than its factorization.

313443114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 313443114304 its reverse (403411344313), we get a palindrome (716854458617).

The spelling of 313443114304 in words is "three hundred thirteen billion, four hundred forty-three million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 376 608 677 752 893 1216 1354 1504 1786 2708 3008 3572 5416 7144 8101 10832 12863 14288 16202 21664 25726 28576 31819 32404 43328 51452 57152 63638 64808 102904 127276 129616 153919 205808 254552 259232 307838 380747 411616 509104 518464 604561 615676 761494 823232 1018208 1209122 1231352 1522988 2036416 2418244 2462704 3045976 4836488 4925408 5484377 6091952 7234193 9672976 9850816 10968754 12183904 14468386 19345952 21937508 24367808 28936772 38691904 43875016 57873544 87750032 104203163 115747088 175500064 208406326 231494176 257765719 351000128 416812652 462988352 515531438 833625304 1031062876 1667250608 2062125752 3334501216 4124251504 4897548661 6669002432 8248503008 9795097322 16497006016 19590194644 39180389288 78360778576 156721557152 313443114304