Search a number
-
+
240090833057 = 4140114603177
BaseRepresentation
bin1101111110011010000…
…1110110000010100001
3211221201100021000112012
43133212201312002201
512413201223124212
6302143551442305
723226450260135
oct3374641660241
9757640230465
10240090833057
119290501a489
123a645b26395
13198431558ba
14b8987753c5
1563a2dee922
hex37e68760a1

240090833057 has 8 divisors (see below), whose sum is σ = 246560057352. Its totient is φ = 233650816000.

The previous prime is 240090832999. The next prime is 240090833089. The reversal of 240090833057 is 750338090042.

240090833057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 131084547136 + 109006285921 = 362056^2 + 330161^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240090833057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240090833657) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7285148 + ... + 7318029.

It is an arithmetic number, because the mean of its divisors is an integer number (30820007169).

Almost surely, 2240090833057 is an apocalyptic number.

It is an amenable number.

240090833057 is a deficient number, since it is larger than the sum of its proper divisors (6469224295).

240090833057 is a wasteful number, since it uses less digits than its factorization.

240090833057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14603619.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 240090833057 in words is "two hundred forty billion, ninety million, eight hundred thirty-three thousand, fifty-seven".

Divisors: 1 41 401 16441 14603177 598730257 5855873977 240090833057