Search a number
-
+
240054524336757 = 31319323960221777
BaseRepresentation
bin110110100101010000001100…
…101001100101101001110101
31011110221222200112201100202210
4312211100030221211221311
5222431023131212234012
62210315305343324033
7101364236616525264
oct6645201451455165
91143858615640683
10240054524336757
116a541608863659
1222b102125b0619
13a3c4076a411b0
14433c9b56725db
151cb458094a23c
hexda540ca65a75

240054524336757 has 16 divisors (see below), whose sum is σ = 362835448391360. Its totient is φ = 139950815807232.

The previous prime is 240054524336723. The next prime is 240054524336821. The reversal of 240054524336757 is 757633425450042.

It is not a de Polignac number, because 240054524336757 - 27 = 240054524336629 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240054524336697 and 240054524336706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240054524436757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161980110148 + ... + 161980111629.

It is an arithmetic number, because the mean of its divisors is an integer number (22677215524460).

Almost surely, 2240054524336757 is an apocalyptic number.

It is an amenable number.

240054524336757 is a deficient number, since it is larger than the sum of its proper divisors (122780924054603).

240054524336757 is a wasteful number, since it uses less digits than its factorization.

240054524336757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323960221812.

The product of its (nonzero) digits is 84672000, while the sum is 57.

Adding to 240054524336757 its reverse (757633425450042), we get a palindrome (997687949786799).

The spelling of 240054524336757 in words is "two hundred forty trillion, fifty-four billion, five hundred twenty-four million, three hundred thirty-six thousand, seven hundred fifty-seven".

Divisors: 1 3 13 19 39 57 247 741 323960221777 971880665331 4211482883101 6155244213763 12634448649303 18465732641289 80018174778919 240054524336757