Search a number
-
+
240555230155332 = 223317833736536481
BaseRepresentation
bin110110101100100010100001…
…000010101101001001000100
31011112201212002121001101002000
4312230202201002231021010
5223012224102404432312
62211341314102545300
7101445353566002021
oct6654424102551104
91145655077041060
10240555230155332
116a71499a184a94
1222b9126ba38230
13a42c3511878a1
144358d14506548
151cc25d84eeadc
hexdac8a10ad244

240555230155332 has 384 divisors, whose sum is σ = 671225117713920. Its totient is φ = 74233831587840.

The previous prime is 240555230155321. The next prime is 240555230155351. The reversal of 240555230155332 is 233551032555042.

240555230155332 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 5 + 5 + 2 + 301 + 5 + 5 + 332 = 666.

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, 37116989532 + ... + 37116996012.

It is an arithmetic number, because the mean of its divisors is an integer number (1747982077380).

Almost surely, 2240555230155332 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 240555230155332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335612558856960).

240555230155332 is an abundant number, since it is smaller than the sum of its proper divisors (430669887558588).

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

240555230155332 is a wasteful number, since it uses less digits than its factorization.

240555230155332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 240555230155332 in words is "two hundred forty trillion, five hundred fifty-five billion, two hundred thirty million, one hundred fifty-five thousand, three hundred thirty-two".