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1042002002401 = 234324116272687
BaseRepresentation
bin11110010100111000010…
…10001100000111100001
310200121120220121012222121
433022130022030013201
5114033010003034101
62114404503104241
7135165531611353
oct17123412140741
93617526535877
101042002002401
11371a01a68a78
12149b44442081
13773500469b9
143860c8710d3
151c188da90a1
hexf29c28c1e1

1042002002401 has 32 divisors (see below), whose sum is σ = 1118311907328. Its totient is φ = 968522607360.

The previous prime is 1042002002387. The next prime is 1042002002453.

1042002002401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1042002002401 - 217 = 1042001871329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1042002002201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387792480 + ... + 387795166.

It is an arithmetic number, because the mean of its divisors is an integer number (34947247104).

Almost surely, 21042002002401 is an apocalyptic number.

It is an amenable number.

1042002002401 is a deficient number, since it is larger than the sum of its proper divisors (76309904927).

1042002002401 is a wasteful number, since it uses less digits than its factorization.

1042002002401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621.

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 1042002002401 in words is "one trillion, forty-two billion, two million, two thousand, four hundred one".

Divisors: 1 23 43 241 989 1627 2687 5543 10363 37421 61801 69961 115541 238349 392107 647567 1609103 2657443 4371749 9018461 14894041 16860601 27845381 100550227 187985207 387793823 640443763 1053591509 4323659761 24232604707 45304434887 1042002002401