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241013414134031 = 71117184120255259
BaseRepresentation
bin110110110011001101001110…
…111011111000000100001111
31011121100122202020001002220212
4312303031032323320010033
5223042230433004242111
62212332011155433035
7101523434036365010
oct6663151673700417
91147318666032825
10241013414134031
116a8812400877a0
12230460208b577b
13a46360cc43896
14437317bcb5007
151cce4a2eca98b
hexdb334eef810f

241013414134031 has 16 divisors (see below), whose sum is σ = 318159801089280. Its totient is φ = 176755445047680.

The previous prime is 241013414134019. The next prime is 241013414134061. The reversal of 241013414134031 is 130431414310142.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241013414134031 is a prime.

It is a super-2 number, since 2×2410134141340312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241013414134061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92060126321 + ... + 92060128938.

It is an arithmetic number, because the mean of its divisors is an integer number (19884987568080).

Almost surely, 2241013414134031 is an apocalyptic number.

241013414134031 is a deficient number, since it is larger than the sum of its proper divisors (77146386955249).

241013414134031 is a wasteful number, since it uses less digits than its factorization.

241013414134031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184120255294.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 241013414134031 its reverse (130431414310142), we get a palindrome (371444828444173).

The spelling of 241013414134031 in words is "two hundred forty-one trillion, thirteen billion, four hundred fourteen million, one hundred thirty-four thousand, thirty-one".

Divisors: 1 7 11 17 77 119 187 1309 184120255259 1288841786813 2025322807849 3130044339403 14177259654943 21910310375821 34430487733433 241013414134031