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2244142414422 = 2321181607317383
BaseRepresentation
bin100000101010000001010…
…011111011101001010110
321221112112010212112021100
4200222001103323221112
5243232000424230142
64434540024130530
7321063640533606
oct40520123735126
97845463775240
102244142414422
1179580a985317
12302b1a906a46
13133810bcb79c
147a88d364c06
153d596940b4c
hex20a814fba56

2244142414422 has 48 divisors (see below), whose sum is σ = 4867506996768. Its totient is φ = 747248008320.

The previous prime is 2244142414421. The next prime is 2244142414439.

2244142414422 is a `hidden beast` number, since 22 + 44 + 142 + 414 + 42 + 2 = 666.

2244142414422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244142414421) 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 23 ways as a sum of consecutive naturals, for example, 129091143 + ... + 129108525.

It is an arithmetic number, because the mean of its divisors is an integer number (101406395766).

Almost surely, 22244142414422 is an apocalyptic number.

2244142414422 is an abundant number, since it is smaller than the sum of its proper divisors (2623364582346).

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

2244142414422 is a wasteful number, since it uses less digits than its factorization.

2244142414422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24645 (or 24642 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 2244142414422 in words is "two trillion, two hundred forty-four billion, one hundred forty-two million, four hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 1181 2362 3543 6073 7086 10629 12146 17383 18219 21258 34766 36438 52149 54657 104298 109314 156447 312894 7172213 14344426 20529323 21516639 41058646 43033278 61587969 64549917 105566959 123175938 129099834 184763907 211133918 316700877 369527814 633401754 950102631 1900205262 124674578579 249349157158 374023735737 748047471474 1122071207211 2244142414422