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315040455000 = 23335418112893
BaseRepresentation
bin1001001010110011101…
…11111101100101011000
31010010011201012022021000
410211121313331211120
520130200324030000
6400421054145000
731521665453355
oct4453167754530
91103151168230
10315040455000
1111167613a7a7
12510824b2160
1323928b7061b
141136889762c
1582dcd15000
hex4959dfd958

315040455000 has 320 divisors, whose sum is σ = 1099667368800. Its totient is φ = 83540160000.

The previous prime is 315040454969. The next prime is 315040455029. The reversal of 315040455000 is 554040513.

315040455000 is a `hidden beast` number, since 3 + 150 + 4 + 0 + 4 + 5 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24428554 + ... + 24441446.

Almost surely, 2315040455000 is an apocalyptic number.

315040455000 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 315040455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549833684400).

315040455000 is an abundant number, since it is smaller than the sum of its proper divisors (784626913800).

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

315040455000 is a wasteful number, since it uses less digits than its factorization.

315040455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13109 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 315040455000 its reverse (554040513), we get a palindrome (315594495513).

The spelling of 315040455000 in words is "three hundred fifteen billion, forty million, four hundred fifty-five thousand".