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31422240000 = 28325421821
BaseRepresentation
bin11101010000111010…
…010101010100000000
310000002212111011212200
4131100322111110000
51003323043140000
622233555353200
72161446430104
oct352072252400
9100085434780
1031422240000
1112365042a98
12610b2b2800
132c69c2c728
1417412a9904
15c3d913500
hex750e95500

31422240000 has 270 divisors, whose sum is σ = 113216529426. Its totient is φ = 8378880000.

The previous prime is 31422239999. The next prime is 31422240007. The reversal of 31422240000 is 4222413.

31422240000 is a `hidden beast` number, since 3 + 1 + 422 + 240 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 10879324416 + 20542915584 = 104304^2 + 143328^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31422240007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1429090 + ... + 1450910.

Almost surely, 231422240000 is an apocalyptic number.

31422240000 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 31422240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56608264713).

31422240000 is an abundant number, since it is smaller than the sum of its proper divisors (81794289426).

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

31422240000 is an equidigital number, since it uses as much as digits as its factorization.

31422240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21863 (or 21831 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 31422240000 its reverse (4222413), we get a palindrome (31426462413).

The spelling of 31422240000 in words is "thirty-one billion, four hundred twenty-two million, two hundred forty thousand".