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1402004444101 = 173172029128221
BaseRepresentation
bin10100011001101101111…
…110100001001111000101
311222000211002201002212021
4110121231332201033011
5140432301114202401
62552023312523141
7203201656101262
oct24315576411705
94860732632767
101402004444101
114a064aa5a868
121a78745504b1
13a2292c78c81
144bc00900269
15267090ee2a1
hex1466dfa13c5

1402004444101 has 16 divisors (see below), whose sum is σ = 1489903737840. Its totient is φ = 1314712488960.

The previous prime is 1402004444081. The next prime is 1402004444189. The reversal of 1402004444101 is 1014444002041.

It can be written as a sum of positive squares in 8 ways, for example, as 64856808900 + 1337147635201 = 254670^2 + 1156351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1402004444101 is a prime.

It is a super-3 number, since 3×14020044441013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402034444101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10870171 + ... + 10998391.

It is an arithmetic number, because the mean of its divisors is an integer number (93118983615).

Almost surely, 21402004444101 is an apocalyptic number.

It is an amenable number.

1402004444101 is a deficient number, since it is larger than the sum of its proper divisors (87899293739).

1402004444101 is a wasteful number, since it uses less digits than its factorization.

1402004444101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130584.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1402004444101 its reverse (1014444002041), we get a palindrome (2416448446142).

The spelling of 1402004444101 in words is "one trillion, four hundred two billion, four million, four hundred forty-four thousand, one hundred one".

Divisors: 1 17 317 2029 5389 34493 128221 643193 2179757 10934281 40646057 260160409 690982969 4422726953 82470849653 1402004444101