Search a number
-
+
242002044131223 = 319103149337820901
BaseRepresentation
bin110111000001100101111101…
…111000000001011110010111
31011201212011120112210112201210
4313001211331320001132113
5223204430141244144343
62214410112043352503
7101655033152613555
oct6701457570013627
91151764515715653
10242002044131223
1170122543a28252
122318574ab22733
13a5059057470bc
1443a8d66254bd5
151cea066467333
hexdc197de01797

242002044131223 has 64 divisors (see below), whose sum is σ = 346276165248000. Its totient is φ = 149897338214400.

The previous prime is 242002044131149. The next prime is 242002044131231. The reversal of 242002044131223 is 322131440200242.

It is not a de Polignac number, because 242002044131223 - 222 = 242002039936919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242002044131293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294390073 + ... + 295210973.

It is an arithmetic number, because the mean of its divisors is an integer number (5410565082000).

Almost surely, 2242002044131223 is an apocalyptic number.

242002044131223 is a deficient number, since it is larger than the sum of its proper divisors (104274121116777).

242002044131223 is a wasteful number, since it uses less digits than its factorization.

242002044131223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821512.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 242002044131223 its reverse (322131440200242), we get a palindrome (564133484331465).

The spelling of 242002044131223 in words is "two hundred forty-two trillion, two billion, forty-four million, one hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 19 57 103 149 309 337 447 1011 1957 2831 5871 6403 8493 15347 19209 34711 46041 50213 104133 150639 291593 659509 820901 874779 954047 1978527 2462703 2862141 5171939 15515817 15597119 46791357 84552803 98266841 122314249 253658409 276643637 294800523 366942747 829930911 1606503257 2323970731 4819509771 5256229103 6971912193 12598367647 15768687309 28494294611 37795102941 41219901913 85482883833 123659705739 239368985293 541391597609 718106955879 783178136347 1624174792827 2349534409041 4245649897039 12736949691117 80667348043741 242002044131223