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742042240247 = 71137925427209
BaseRepresentation
bin10101100110001010010…
…10100000010011110111
32121221100012101111012002
422303011022200103313
544124200303141442
61324520044245515
7104416332654350
oct12630512402367
92557305344162
10742042240247
11266775554aa0
12bb99054089b
1354c88665c89
1427cb4c04d27
151447eee7732
hexacc52a04f7

742042240247 has 16 divisors (see below), whose sum is σ = 927584620800. Its totient is φ = 576689077440.

The previous prime is 742042240243. The next prime is 742042240279.

742042240247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742042240247 - 22 = 742042240243 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 742042240247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742042240243) 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 15 ways as a sum of consecutive naturals, for example, 12684422 + ... + 12742787.

It is an arithmetic number, because the mean of its divisors is an integer number (57974038800).

Almost surely, 2742042240247 is an apocalyptic number.

742042240247 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

742042240247 is a deficient number, since it is larger than the sum of its proper divisors (185542380553).

742042240247 is a wasteful number, since it uses less digits than its factorization.

742042240247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25427606.

The product of its (nonzero) digits is 200704, while the sum is 38.

It can be divided in two parts, 742042 and 240247, that added together give a palindrome (982289).

The spelling of 742042240247 in words is "seven hundred forty-two billion, forty-two million, two hundred forty thousand, two hundred forty-seven".

Divisors: 1 7 11 77 379 2653 4169 29183 25427209 177990463 279699299 1957895093 9636912211 67458385477 106006034321 742042240247