Search a number
-
+
31614220080 = 243351929101263
BaseRepresentation
bin11101011100010110…
…101011011100110000
310000121020201210001000
4131130112223130300
51004221220020310
622305014242000
72166300302562
oct353426533460
9100536653030
1031614220080
1112453448513
126163656300
132c9a939501
14175c9a1332
15c506d64c0
hex75c5ab730

31614220080 has 640 divisors, whose sum is σ = 120206592000. Its totient is φ = 7605964800.

The previous prime is 31614220049. The next prime is 31614220111. The reversal of 31614220080 is 8002241613.

31614220080 is a `hidden beast` number, since 3 + 161 + 422 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (31614220049) and next prime (31614220111).

It is a super-2 number, since 2×316142200802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120206029 + ... + 120206291.

It is an arithmetic number, because the mean of its divisors is an integer number (187822800).

Almost surely, 231614220080 is an apocalyptic number.

31614220080 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 31614220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60103296000).

31614220080 is an abundant number, since it is smaller than the sum of its proper divisors (88592371920).

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

31614220080 is a wasteful number, since it uses less digits than its factorization.

31614220080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31614220080 its reverse (8002241613), we get a palindrome (39616461693).

The spelling of 31614220080 in words is "thirty-one billion, six hundred fourteen million, two hundred twenty thousand, eighty".