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22144241014020 = 22325300140994189
BaseRepresentation
bin1010000100011110110111…
…00111101001010100000100
32220101222011020020001220100
411002033123213221110010
510400302401144422040
6115032531320404100
74443603635640426
oct502173347512404
986358136201810
1022144241014020
117068357831624
122597851616630
13c48267c46038
14567b036aa816
15286051066b30
hex1423db9e9504

22144241014020 has 72 divisors (see below), whose sum is σ = 67193248875480. Its totient is φ = 5903163072000.

The previous prime is 22144241014001. The next prime is 22144241014057. The reversal of 22144241014020 is 2041014244122.

22144241014020 is a `hidden beast` number, since 2 + 2 + 14 + 4 + 241 + 0 + 1 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7376145400836 + 14768095613184 = 2715906^2 + 3842928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19956915 + ... + 21037274.

It is an arithmetic number, because the mean of its divisors is an integer number (933239567715).

Almost surely, 222144241014020 is an apocalyptic number.

22144241014020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144241014020 is an abundant number, since it is smaller than the sum of its proper divisors (45049007861460).

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

22144241014020 is a wasteful number, since it uses less digits than its factorization.

22144241014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40997205 (or 40997200 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 22144241014020 its reverse (2041014244122), we get a palindrome (24185255258142).

The spelling of 22144241014020 in words is "twenty-two trillion, one hundred forty-four billion, two hundred forty-one million, fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3001 6002 9003 12004 15005 18006 27009 30010 36012 45015 54018 60020 90030 108036 135045 180060 270090 540180 40994189 81988378 122982567 163976756 204970945 245965134 368947701 409941890 491930268 614912835 737895402 819883780 1229825670 1475790804 1844738505 2459651340 3689477010 7378954020 123023561189 246047122378 369070683567 492094244756 615117805945 738141367134 1107212050701 1230235611890 1476282734268 1845353417835 2214424101402 2460471223780 3690706835670 4428848202804 5536060253505 7381413671340 11072120507010 22144241014020