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315303431352 = 2337131011429403
BaseRepresentation
bin1001001011010011000…
…11001000110010111000
31010010212001000212222220
410211221203020302320
520131220134300402
6400503130444040
731531340642310
oct4455143106270
91103761025886
10315303431352
111117a0626828
1251136593620
132396b4a7530
1411391790440
158305e5ddbc
hex49698c8cb8

315303431352 has 128 divisors (see below), whose sum is σ = 979770677760. Its totient is φ = 82333555200.

The previous prime is 315303431347. The next prime is 315303431353. The reversal of 315303431352 is 253134303513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315303431353) 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 31 ways as a sum of consecutive naturals, for example, 494118 + ... + 935285.

It is an arithmetic number, because the mean of its divisors is an integer number (7654458420).

Almost surely, 2315303431352 is an apocalyptic number.

It is an amenable number.

315303431352 is an abundant number, since it is smaller than the sum of its proper divisors (664467246408).

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

315303431352 is a wasteful number, since it uses less digits than its factorization.

315303431352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429533 (or 1429529 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 315303431352 its reverse (253134303513), we get a palindrome (568437734865).

The spelling of 315303431352 in words is "three hundred fifteen billion, three hundred three million, four hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 101 104 156 168 182 202 273 303 312 364 404 546 606 707 728 808 1092 1212 1313 1414 2121 2184 2424 2626 2828 3939 4242 5252 5656 7878 8484 9191 10504 15756 16968 18382 27573 31512 36764 55146 73528 110292 220584 1429403 2858806 4288209 5717612 8576418 10005821 11435224 17152836 18582239 20011642 30017463 34305672 37164478 40023284 55746717 60034926 74328956 80046568 111493434 120069852 130075673 144369703 148657912 222986868 240139704 260151346 288739406 390227019 433109109 445973736 520302692 577478812 780454038 866218218 1010587921 1040605384 1154957624 1560908076 1732436436 1876806139 2021175842 3031763763 3121816152 3464872872 3753612278 4042351684 5630418417 6063527526 7507224556 8084703368 11260836834 12127055052 13137642973 15014449112 22521673668 24254110104 26275285946 39412928919 45043347336 52550571892 78825857838 105101143784 157651715676 315303431352