Search a number
-
+
315790511340 = 223543769159167
BaseRepresentation
bin1001001100001101001…
…01001100110011101100
31010012002222120010010110
410212012211030303230
520133214332330330
6401023330340020
731546404025503
oct4460645146354
91105088503113
10315790511340
11111a20569177
125125172a610
1323a18387945
14113da34183a
158333ac3db0
hex498694ccec

315790511340 has 96 divisors (see below), whose sum is σ = 905958789120. Its totient is φ = 82144935936.

The previous prime is 315790511299. The next prime is 315790511347. The reversal of 315790511340 is 43115097513.

It is not an unprimeable number, because it can be changed into a prime (315790511347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904437 + ... + 2063603.

It is an arithmetic number, because the mean of its divisors is an integer number (9437070720).

Almost surely, 2315790511340 is an apocalyptic number.

315790511340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315790511340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452979394560).

315790511340 is an abundant number, since it is smaller than the sum of its proper divisors (590168277780).

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

315790511340 is a wasteful number, since it uses less digits than its factorization.

315790511340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159991 (or 159989 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 315790511340 in words is "three hundred fifteen billion, seven hundred ninety million, five hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 769 860 1290 1538 2307 2580 3076 3845 4614 7690 9228 11535 15380 23070 33067 46140 66134 99201 132268 159167 165335 198402 318334 330670 396804 477501 496005 636668 661340 795835 955002 992010 1591670 1910004 1984020 2387505 3183340 4775010 6844181 9550020 13688362 20532543 27376724 34220905 41065086 68441810 82130172 102662715 122399423 136883620 205325430 244798846 367198269 410650860 489597692 611997115 734396538 1223994230 1468793076 1835991345 2447988460 3671982690 5263175189 7343965380 10526350378 15789525567 21052700756 26315875945 31579051134 52631751890 63158102268 78947627835 105263503780 157895255670 315790511340