Search a number
-
+
240551240535432 = 233419372295234409
BaseRepresentation
bin110110101100011110110011…
…001111100000110110001000
31011112201110210112212200110000
4312230132303033200312020
5223012142420034113212
62211335414143323000
7101445152662540101
oct6654366317406610
91145643715780400
10240551240535432
116a713232140562
1222b905378b0460
13a42bb6675ba58
144358a566d53a8
151cc245312a1dc
hexdac7b33e0d88

240551240535432 has 640 divisors, whose sum is σ = 733141720080000. Its totient is φ = 73430365999104.

The previous prime is 240551240535427. The next prime is 240551240535449. The reversal of 240551240535432 is 234535042155042.

240551240535432 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 5 + 12 + 40 + 53 + 543 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54559136044 + ... + 54559140452.

It is an arithmetic number, because the mean of its divisors is an integer number (1145533937625).

Almost surely, 2240551240535432 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 240551240535432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366570860040000).

240551240535432 is an abundant number, since it is smaller than the sum of its proper divisors (492590479544568).

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

240551240535432 is a wasteful number, since it uses less digits than its factorization.

240551240535432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 240551240535432 in words is "two hundred forty trillion, five hundred fifty-one billion, two hundred forty million, five hundred thirty-five thousand, four hundred thirty-two".