Search a number
-
+
240886034688 = 283132192331137
BaseRepresentation
bin1110000001010111101…
…1010011000100000000
3212000202202120110002110
43200111323103010000
512421313311102223
6302354515415320
723255244340215
oct3402573230400
9760682513073
10240886034688
1193182983212
123a8282b4540
131993bb18700
14b932211b0c
1563ecb29d93
hex3815ed3100

240886034688 has 864 divisors, whose sum is σ = 792870543360. Its totient is φ = 64523796480.

The previous prime is 240886034687. The next prime is 240886034713. The reversal of 240886034688 is 886430688042.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240886034687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758292156 + ... + 1758292292.

It is an arithmetic number, because the mean of its divisors is an integer number (917674240).

Almost surely, 2240886034688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240886034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396435271680).

240886034688 is an abundant number, since it is smaller than the sum of its proper divisors (551984508672).

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

240886034688 is a wasteful number, since it uses less digits than its factorization.

240886034688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 240886034688 in words is "two hundred forty billion, eight hundred eighty-six million, thirty-four thousand, six hundred eighty-eight".