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318950231040 = 2103357329603
BaseRepresentation
bin1001010010000101110…
…10100100110000000000
31010111021012010111201000
410221002322210300000
520211202224343130
6402305042212000
732020612142340
oct4510272446000
91114235114630
10318950231040
111132a20aa371
1251993954000
13240ccb9217c
1411619c42d20
15846b1b7260
hex4a42ea4c00

318950231040 has 352 divisors, whose sum is σ = 1295422824960. Its totient is φ = 72902688768.

The previous prime is 318950230987. The next prime is 318950231051. The reversal of 318950231040 is 40132059813.

318950231040 is a `hidden beast` number, since 3 + 1 + 89 + 502 + 31 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 318950230986 and 318950231004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802879 + ... + 1132481.

It is an arithmetic number, because the mean of its divisors is an integer number (3680178480).

Almost surely, 2318950231040 is an apocalyptic number.

318950231040 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 318950231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647711412480).

318950231040 is an abundant number, since it is smaller than the sum of its proper divisors (976472593920).

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

318950231040 is a wasteful number, since it uses less digits than its factorization.

318950231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329644 (or 329620 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 318950231040 in words is "three hundred eighteen billion, nine hundred fifty million, two hundred thirty-one thousand, forty".