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22142201440440 = 2335184518345337
BaseRepresentation
bin1010000100011011000100…
…00011010010100010111000
32220101202220002101222221010
411002031202003102202320
510400234212032043230
6115031553101313520
74443502251564654
oct502154203224270
986352802358833
1022142201440440
117067500515824
1225973825658a0
13c48001524273
1456798c86da64
15285e81e889b0
hex1423620d28b8

22142201440440 has 32 divisors (see below), whose sum is σ = 66426604321680. Its totient is φ = 5904587050752.

The previous prime is 22142201440433. The next prime is 22142201440451. The reversal of 22142201440440 is 4404410224122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22142201440398 and 22142201440407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92259172549 + ... + 92259172788.

Almost surely, 222142201440440 is an apocalyptic number.

22142201440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142201440440 is an abundant number, since it is smaller than the sum of its proper divisors (44284402881240).

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

22142201440440 is a wasteful number, since it uses less digits than its factorization.

22142201440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184518345351 (or 184518345347 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 22142201440440 its reverse (4404410224122), we get a palindrome (26546611664562).

The spelling of 22142201440440 in words is "twenty-two trillion, one hundred forty-two billion, two hundred one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 184518345337 369036690674 553555036011 738073381348 922591726685 1107110072022 1476146762696 1845183453370 2214220144044 2767775180055 3690366906740 4428440288088 5535550360110 7380733813480 11071100720220 22142201440440