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241087874049 = 32112148792
BaseRepresentation
bin1110000010000111110…
…1010000010000000001
3212001021211100221122100
43200201331100100001
512422221443432144
6302430525501013
723263245055161
oct3404175202001
9761254327570
10241087874049
1193276902100
123a883a11769
1319971897c99
14b950d525a1
1564106e9269
hex3821f50401

241087874049 has 27 divisors (see below), whose sum is σ = 382799771809. Its totient is φ = 146104042920.

The previous prime is 241087874011. The next prime is 241087874051. The reversal of 241087874049 is 940478780142.

The square root of 241087874049 is 491007.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-241087874049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 241087873986 and 241087874004.

It is not an unprimeable number, because it can be changed into a prime (241087874249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16195792 + ... + 16210670.

Almost surely, 2241087874049 is an apocalyptic number.

241087874049 is the 491007-th square number.

241087874049 is the 245504-th centered octagonal number.

It is an amenable number.

241087874049 is a deficient number, since it is larger than the sum of its proper divisors (141711897760).

241087874049 is an frugal number, since it uses more digits than its factorization.

241087874049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29786 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

It can be divided in two parts, 241087 and 874049, that added together give a square (1115136 = 10562).

The spelling of 241087874049 in words is "two hundred forty-one billion, eighty-seven million, eight hundred seventy-four thousand, forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 14879 44637 133911 163669 491007 1473021 1800359 5401077 16203231 221384641 664153923 1992461769 2435231051 7305693153 21917079459 26787541561 80362624683 241087874049