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2214442442442 = 2361131115140127
BaseRepresentation
bin100000001110010111000…
…011100001111011001010
321211200212022010121222010
4200032113003201323022
5242240134231124232
64413144550440350
7315662643122166
oct40162703417312
97750768117863
102214442442442
1178415a03482a
122b92103630b6
13130a89a44179
1479272ad9ca6
153c90932e0cc
hex203970e1eca

2214442442442 has 64 divisors (see below), whose sum is σ = 4539905998848. Its totient is φ = 719860440000.

The previous prime is 2214442442437. The next prime is 2214442442449. The reversal of 2214442442442 is 2442442444122.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 2214442442442.

It is not an unprimeable number, because it can be changed into a prime (2214442442449) 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, 55165783 + ... + 55205909.

It is an arithmetic number, because the mean of its divisors is an integer number (70936031232).

Almost surely, 22214442442442 is an apocalyptic number.

2214442442442 is an abundant number, since it is smaller than the sum of its proper divisors (2325463556406).

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

2214442442442 is a wasteful number, since it uses less digits than its factorization.

2214442442442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41475.

The product of its digits is 524288, while the sum is 39.

Adding to 2214442442442 its reverse (2442442444122), we get a palindrome (4656884886564).

The spelling of 2214442442442 in words is "two trillion, two hundred fourteen billion, four hundred forty-two million, four hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 61 122 131 183 262 366 393 786 1151 2302 3453 6906 7991 15982 23973 40127 47946 70211 80254 120381 140422 150781 210633 240762 301562 421266 452343 904686 2447747 4895494 5256637 7343241 9197641 10513274 14686482 15769911 18395282 27592923 31539822 46186177 55185846 92372354 138558531 277117062 320654857 641309714 961964571 1923929142 2817356797 5634713594 6050389187 8452070391 12100778374 16904140782 18151167561 36302335122 369073740407 738147480814 1107221221221 2214442442442