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22142243313140 = 2259711413527481
BaseRepresentation
bin1010000100011011001001…
…00011000001010111110100
32220101210000000012100110212
411002031210203001113310
510400234303242010030
6115032001155004552
74443503300522546
oct502154443012764
986353000170425
1022142243313140
117067522115365
122597394599758
13c4800a0c5302
1456799424d696
15285e859aa595
hex1423648c15f4

22142243313140 has 24 divisors (see below), whose sum is σ = 46978079115912. Its totient is φ = 8765589104640.

The previous prime is 22142243313121. The next prime is 22142243313191. The reversal of 22142243313140 is 4131334224122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4699625651044 + 17442617662096 = 2167862^2 + 4176436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22142243313097 and 22142243313106.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5706761801 + ... + 5706765680.

It is an arithmetic number, because the mean of its divisors is an integer number (1957419963163).

Almost surely, 222142243313140 is an apocalyptic number.

22142243313140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142243313140 is an abundant number, since it is smaller than the sum of its proper divisors (24835835802772).

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

22142243313140 is a wasteful number, since it uses less digits than its factorization.

22142243313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11413527587 (or 11413527585 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 22142243313140 its reverse (4131334224122), we get a palindrome (26273577537262).

The spelling of 22142243313140 in words is "twenty-two trillion, one hundred forty-two billion, two hundred forty-three million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 11413527481 22827054962 45654109924 57067637405 114135274810 228270549620 1107112165657 2214224331314 4428448662628 5535560828285 11071121656570 22142243313140