Search a number
-
+
1442311021044 = 2232231741921523
BaseRepresentation
bin10100111111010000011…
…011111010000111110100
312002212212010122100212100
4110333100123322013310
5142112323110133134
63022331042422100
7206126545253355
oct24772033720764
95085763570770
101442311021044
11506753a74683
121b3643061930
13a60176bcaba
144db45ab3d2c
15277b7993999
hex14fd06fa1f4

1442311021044 has 36 divisors (see below), whose sum is σ = 3804356608416. Its totient is φ = 459867281808.

The previous prime is 1442311021009. The next prime is 1442311021057. The reversal of 1442311021044 is 4401201132441.

1442311021044 is a `hidden beast` number, since 1 + 442 + 3 + 1 + 1 + 0 + 210 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×14423110210442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1442311020999 and 1442311021017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870959934 + ... + 870961589.

It is an arithmetic number, because the mean of its divisors is an integer number (105676572456).

Almost surely, 21442311021044 is an apocalyptic number.

It is an amenable number.

1442311021044 is an abundant number, since it is smaller than the sum of its proper divisors (2362045587372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1442311021044 is a wasteful number, since it uses less digits than its factorization.

1442311021044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741921556 (or 1741921551 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1442311021044 its reverse (4401201132441), we get a palindrome (5843512153485).

The spelling of 1442311021044 in words is "one trillion, four hundred forty-two billion, three hundred eleven million, twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1741921523 3483843046 5225764569 6967686092 10451529138 15677293707 20903058276 31354587414 40064195029 62709174828 80128390058 120192585087 160256780116 240385170174 360577755261 480770340348 721155510522 1442311021044