Search a number
-
+
31219482294 = 23371113312601
BaseRepresentation
bin11101000100110100…
…110111111010110110
32222120201222000121000
4131010310313322312
51002414141413134
622201513504130
72153435135550
oct350464677266
988521860530
1031219482294
1112270647140
126073412046
132c36c1b160
1417223aa4d0
15c2ac11e99
hex744d37eb6

31219482294 has 384 divisors, whose sum is σ = 96410926080. Its totient is φ = 7231680000.

The previous prime is 31219482247. The next prime is 31219482337. The reversal of 31219482294 is 49228491213.

31219482294 is a `hidden beast` number, since 312 + 1 + 9 + 48 + 2 + 294 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51945594 + ... + 51946194.

It is an arithmetic number, because the mean of its divisors is an integer number (251070120).

Almost surely, 231219482294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31219482294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48205463040).

31219482294 is an abundant number, since it is smaller than the sum of its proper divisors (65191443786).

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

31219482294 is a wasteful number, since it uses less digits than its factorization.

31219482294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 668 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 31219482294 in words is "thirty-one billion, two hundred nineteen million, four hundred eighty-two thousand, two hundred ninety-four".