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2000440144101 = 37178296759317
BaseRepresentation
bin11101000111000011100…
…001100011000011100101
321002020111010001111011110
4131013003201203003211
5230233400134102401
64130553422455233
7264345525445020
oct35070341430345
97066433044143
102000440144101
11701422345643
12283847434519
131168437bcc79
146cb711041b7
15370819709d6
hex1d1c38630e5

2000440144101 has 32 divisors (see below), whose sum is σ = 3231494749440. Its totient is φ = 1074569020416.

The previous prime is 2000440144069. The next prime is 2000440144111. The reversal of 2000440144101 is 1014410440002.

It is not a de Polignac number, because 2000440144101 - 25 = 2000440144069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000440144111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3083706 + ... + 3675611.

It is an arithmetic number, because the mean of its divisors is an integer number (100984210920).

Almost surely, 22000440144101 is an apocalyptic number.

2000440144101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2000440144101 is a deficient number, since it is larger than the sum of its proper divisors (1231054605339).

2000440144101 is a wasteful number, since it uses less digits than its factorization.

2000440144101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760173.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2000440144101 its reverse (1014410440002), we get a palindrome (3014850584103).

The spelling of 2000440144101 in words is "two trillion, four hundred forty million, one hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 17 21 51 119 357 829 2487 5803 14093 17409 42279 98651 295953 6759317 20277951 47315219 114908389 141945657 344725167 804358723 2413076169 5603473793 16810421379 39224316551 95259054481 117672949653 285777163443 666813381367 2000440144101