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241151151142 = 211131773108247
BaseRepresentation
bin1110000010010110111…
…0101000110000100110
3212001110020102202111101
43200211232220300212
512422334143314032
6302441110030314
723264643651406
oct3404556506046
9761406382441
10241151151142
11932a95a1120
123a8a104839a
1319981a21755
14b959504806
156416047de7
hex3825ba8c26

241151151142 has 32 divisors (see below), whose sum is σ = 398141339904. Its totient is φ = 108635685600.

The previous prime is 241151151133. The next prime is 241151151151.

241151151142 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (241151151133) and next prime (241151151151).

It is a super-2 number, since 2×2411511511422 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241151151142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2173663 + ... + 2281909.

It is an arithmetic number, because the mean of its divisors is an integer number (12441916872).

Almost surely, 2241151151142 is an apocalyptic number.

241151151142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241151151142 is a deficient number, since it is larger than the sum of its proper divisors (156990188762).

241151151142 is a wasteful number, since it uses less digits than its factorization.

241151151142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109164.

The product of its digits is 1600, while the sum is 28.

It can be divided in two parts, 241151 and 151142, that added together give a palindrome (392293).

The spelling of 241151151142 in words is "two hundred forty-one billion, one hundred fifty-one million, one hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 11 22 131 262 773 1441 1546 2882 8503 17006 101263 108247 202526 216494 1113893 1190717 2227786 2381434 14180357 28360714 83674931 155983927 167349862 311967854 920424241 1840848482 10961415961 21922831922 120575575571 241151151142