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1040204242441 = 72132202961909
BaseRepresentation
bin11110010001100010000…
…00010001111000001001
310200102221121210112221101
433020301000101320021
5114020314241224231
62113510242541401
7135103142113600
oct17106100217011
93612847715841
101040204242441
1137116a1a4341
12149722367861
137712475c400
14384bbbbca37
151c0d1144661
hexf231011e09

1040204242441 has 36 divisors (see below), whose sum is σ = 1310939916300. Its totient is φ = 822599826048.

The previous prime is 1040204242439. The next prime is 1040204242447. The reversal of 1040204242441 is 1442424020401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 53837456841 + 986366785600 = 232029^2 + 993160^2 .

It is not a de Polignac number, because 1040204242441 - 21 = 1040204242439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1040204242447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16771195 + ... + 16833103.

It is an arithmetic number, because the mean of its divisors is an integer number (36414997675).

Almost surely, 21040204242441 is an apocalyptic number.

It is an amenable number.

1040204242441 is a deficient number, since it is larger than the sum of its proper divisors (270735673859).

1040204242441 is a wasteful number, since it uses less digits than its factorization.

1040204242441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63978 (or 63958 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1040204242441 its reverse (1442424020401), we get a palindrome (2482628262842).

The spelling of 1040204242441 in words is "one trillion, forty billion, two hundred four million, two hundred forty-two thousand, four hundred forty-one".

Divisors: 1 7 13 49 91 169 637 1183 2029 8281 14203 26377 61909 99421 184639 342901 433363 804817 1292473 2400307 3033541 5633719 10462621 16802149 39436033 73238347 125613361 512668429 879293527 1632973693 6155054689 11430815851 21228658009 80015710957 148600606063 1040204242441