Search a number
-
+
8303134490640 = 243251117226927179
BaseRepresentation
bin111100011010011100101…
…1000011100000000010000
31002101202211201102001102100
41320310321120130000100
52042014304412200030
625354223552120400
71514611261450353
oct170647130340020
932352751361370
108303134490640
112711380a59770
12b21252b36100
13482c9cc35a52
14209c33bd629a
15e5eb48d2360
hex78d3961c010

8303134490640 has 480 divisors, whose sum is σ = 32224438396800. Its totient is φ = 1893571706880.

The previous prime is 8303134490597. The next prime is 8303134490659. The reversal of 8303134490640 is 460944313038.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305484571 + ... + 305511749.

It is an arithmetic number, because the mean of its divisors is an integer number (67134246660).

Almost surely, 28303134490640 is an apocalyptic number.

8303134490640 is a gapful number since it is divisible by the number (80) 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 8303134490640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112219198400).

8303134490640 is an abundant number, since it is smaller than the sum of its proper divisors (23921303906160).

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

8303134490640 is a wasteful number, since it uses less digits than its factorization.

8303134490640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29495 (or 29486 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 8303134490640 in words is "eight trillion, three hundred three billion, one hundred thirty-four million, four hundred ninety thousand, six hundred forty".