Search a number
-
+
731423293440 = 2143573711491
BaseRepresentation
bin10101010010011000011…
…10011100000000000000
32120220221010222002122220
422221030032130000000
543440423330342230
61320002231331040
7103562231261640
oct12511416340000
92526833862586
10731423293440
112622164210a4
12b9908220a80
1353c85677cb8
14275887a6520
151405cb27d10
hexaa4c39c000

731423293440 has 480 divisors, whose sum is σ = 2747369823744. Its totient is φ = 162649866240.

The previous prime is 731423293439. The next prime is 731423293453. The reversal of 731423293440 is 44392324137.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 731423293392 and 731423293401.

It is a congruent number.

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, 63646095 + ... + 63657585.

Almost surely, 2731423293440 is an apocalyptic number.

731423293440 is a gapful number since it is divisible by the number (70) 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 731423293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373684911872).

731423293440 is an abundant number, since it is smaller than the sum of its proper divisors (2015946530304).

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

731423293440 is a wasteful number, since it uses less digits than its factorization.

731423293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11571 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 731423293440 in words is "seven hundred thirty-one billion, four hundred twenty-three million, two hundred ninety-three thousand, four hundred forty".