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315406365426 = 2361901113797
BaseRepresentation
bin1001001011011111010…
…11110011001011110010
31010011010012201111000000
410211233223303023302
520131423012143201
6400521245010430
731534030604535
oct4455753631362
91104105644000
10315406365426
11111843741709
1251164b53a16
1323986907679
14113a1306a1c
15830eee2d86
hex496faf32f2

315406365426 has 56 divisors (see below), whose sum is σ = 709719207084. Its totient is φ = 105079226400.

The previous prime is 315406365419. The next prime is 315406365467. The reversal of 315406365426 is 624563604513.

315406365426 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 0 + 636 + 5 + 4 + 2 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 268598610225 + 46807755201 = 518265^2 + 216351^2 .

It is a super-2 number, since 2×3154063654262 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2714760 + ... + 2828556.

Almost surely, 2315406365426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315406365426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354859603542).

315406365426 is an abundant number, since it is smaller than the sum of its proper divisors (394312841658).

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

315406365426 is a wasteful number, since it uses less digits than its factorization.

315406365426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115718 (or 115703 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 315406365426 its reverse (624563604513), we get a palindrome (939969969939).

The spelling of 315406365426 in words is "three hundred fifteen billion, four hundred six million, three hundred sixty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1901 3802 5703 11406 17109 34218 51327 102654 113797 153981 227594 307962 341391 461943 682782 923886 1024173 1385829 2048346 2771658 3072519 6145038 9217557 18435114 27652671 55305342 82958013 165916026 216328097 432656194 648984291 1297968582 1946952873 3893905746 5840858619 11681717238 17522575857 35045151714 52567727571 105135455142 157703182713 315406365426