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242200334034141 = 37131518291698679
BaseRepresentation
bin110111000100011110101000…
…110111111110010011011101
31011202120010101201020022001020
4313010132220313332103131
5223221202241003043031
62215041144124234353
7102005253030153030
oct6704365067762335
91152503351208036
10242200334034141
117019964845a17a
12231b806999b9b9
13a51b516692bc2
1443b47b7183017
151d002be6e1096
hexdc47a8dfe4dd

242200334034141 has 32 divisors (see below), whose sum is σ = 371891876505600. Its totient is φ = 137340970079040.

The previous prime is 242200334034119. The next prime is 242200334034157. The reversal of 242200334034141 is 141430433002242.

It is not a de Polignac number, because 242200334034141 - 211 = 242200334032093 is a prime.

It is a super-2 number, since 2×2422003340341412 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242200334034161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141732240 + ... + 143430918.

It is an arithmetic number, because the mean of its divisors is an integer number (11621621140800).

Almost surely, 2242200334034141 is an apocalyptic number.

242200334034141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242200334034141 is a deficient number, since it is larger than the sum of its proper divisors (129691542471459).

242200334034141 is a wasteful number, since it uses less digits than its factorization.

242200334034141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750649.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 242200334034141 its reverse (141430433002242), we get a palindrome (383630767036383).

The spelling of 242200334034141 in words is "two hundred forty-two trillion, two hundred billion, three hundred thirty-four million, thirty-four thousand, one hundred forty-one".

Divisors: 1 3 7 21 131 393 917 2751 51829 155487 362803 1088409 1698679 5096037 6789599 11890753 20368797 35672259 47527193 142581579 222526949 667580847 1557688643 4673065929 88040833891 264122501673 616285837237 1848857511711 11533349239721 34600047719163 80733444678047 242200334034141