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2400201441001 = 713411637392983
BaseRepresentation
bin100010111011010111001…
…001110111111011101001
322111110100011110111001201
4202323113021313323221
5303311103032103001
65034345354444201
7335260141424440
oct42732711677351
98443304414051
102400201441001
11845a1315a851
12329212733661
13145451842870
14842556cbd57
154267c417501
hex22ed7277ee9

2400201441001 has 32 divisors (see below), whose sum is σ = 3028001453568. Its totient is φ = 1851605429760.

The previous prime is 2400201440977. The next prime is 2400201441023. The reversal of 2400201441001 is 1001441020042.

It is a cyclic number.

It is not a de Polignac number, because 2400201441001 - 27 = 2400201440873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2400201441001.

It is not an unprimeable number, because it can be changed into a prime (2400201441601) 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, 5911156 + ... + 6304138.

It is an arithmetic number, because the mean of its divisors is an integer number (94625045424).

Almost surely, 22400201441001 is an apocalyptic number.

It is an amenable number.

2400201441001 is a deficient number, since it is larger than the sum of its proper divisors (627800012567).

2400201441001 is a wasteful number, since it uses less digits than its factorization.

2400201441001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394681.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2400201441001 its reverse (1001441020042), we get a palindrome (3401642461043).

The spelling of 2400201441001 in words is "two trillion, four hundred billion, two hundred one million, four hundred forty-one thousand, one".

Divisors: 1 7 13 41 91 287 533 1637 3731 11459 21281 67117 148967 392983 469819 872521 2750881 5108779 6107647 16112303 35761453 112786121 209459939 643313171 1466219573 4503192197 8363071223 26375840011 58541498561 184630880077 342885920143 2400201441001