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315036164344 = 2311210112012683
BaseRepresentation
bin1001001010110011001…
…11100110000011111000
31010010011102010022120211
410211121213212003320
520130143224224334
6400420422200504
731521614133226
oct4453147460370
91103142108524
10315036164344
1111167377a100
1251080b83134
1323927cca685
141136809bb16
1582dc768a64
hex49599e60f8

315036164344 has 96 divisors (see below), whose sum is σ = 656492926320. Its totient is φ = 141609600000.

The previous prime is 315036164329. The next prime is 315036164353. The reversal of 315036164344 is 443461630513.

It is a junction number, because it is equal to n+sod(n) for n = 315036164297 and 315036164306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117418027 + ... + 117420709.

Almost surely, 2315036164344 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 315036164344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328246463160).

315036164344 is an abundant number, since it is smaller than the sum of its proper divisors (341456761976).

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

315036164344 is a wasteful number, since it uses less digits than its factorization.

315036164344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 315036164344 its reverse (443461630513), we get a palindrome (758497794857).

The spelling of 315036164344 in words is "three hundred fifteen billion, thirty-six million, one hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 1201 2222 2402 2683 4444 4804 5366 8888 9608 10732 12221 13211 21464 24442 26422 29513 48884 52844 59026 97768 105688 118052 121301 145321 236104 242602 270983 290642 324643 485204 541966 581284 649286 970408 1083932 1162568 1298572 1334311 2167864 2597144 2668622 2980813 3222283 5337244 5961626 6444566 10674488 11923252 12889132 14677421 23846504 25778264 29354842 32788943 35445113 58709684 65577886 70890226 117419368 131155772 141780452 262311544 283560904 325450583 389896243 650901166 779792486 1301802332 1559584972 2603604664 3119169944 3579956413 7159912826 14319825652 28639651304 39379520543 78759041086 157518082172 315036164344