Search a number
-
+
315047124480 = 29351127713463
BaseRepresentation
bin1001001010110100100…
…01011001111000000000
31010010012011202011001210
410211122101121320000
520130204030440410
6400421453130120
731522106242044
oct4453221317000
91103164664053
10315047124480
11111679985670
1251084789940
132392a36726a
1411369712024
1582dd6d1220
hex495a459e00

315047124480 has 320 divisors, whose sum is σ = 1102775275008. Its totient is φ = 76093685760.

The previous prime is 315047124467. The next prime is 315047124503. The reversal of 315047124480 is 84421740513.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23394229 + ... + 23407691.

Almost surely, 2315047124480 is an apocalyptic number.

315047124480 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 315047124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551387637504).

315047124480 is an abundant number, since it is smaller than the sum of its proper divisors (787728150528).

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

315047124480 is a wasteful number, since it uses less digits than its factorization.

315047124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13777 (or 13761 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

Adding to 315047124480 its reverse (84421740513), we get a palindrome (399468864993).

The spelling of 315047124480 in words is "three hundred fifteen billion, forty-seven million, one hundred twenty-four thousand, four hundred eighty".