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40442312102220 = 22325732097073097
BaseRepresentation
bin10010011001000001101011…
…01001011001000101001100
312022012020200021011212210100
421030200311221121011030
520300101323344232340
6222002535223411100
711342601123633240
oct1114406551310514
9168166607155710
1040442312102220
1111982540942096
124651ba85b3a90
131974902ca9b82
149db5bdd48420
154a1ee60ae830
hex24c835a5914c

40442312102220 has 72 divisors (see below), whose sum is σ = 140200015292064. Its totient is φ = 9243957051648.

The previous prime is 40442312102167. The next prime is 40442312102243. The reversal of 40442312102220 is 2220121324404.

It is a happy number.

40442312102220 is a `hidden beast` number, since 4 + 0 + 4 + 423 + 1 + 2 + 10 + 2 + 220 = 666.

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 23 ways as a sum of consecutive naturals, for example, 16048535289 + ... + 16048537808.

It is an arithmetic number, because the mean of its divisors is an integer number (1947222434612).

Almost surely, 240442312102220 is an apocalyptic number.

It is an amenable number.

40442312102220 is an abundant number, since it is smaller than the sum of its proper divisors (99757703189844).

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

40442312102220 is a wasteful number, since it uses less digits than its factorization.

40442312102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32097073119 (or 32097073114 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40442312102220 its reverse (2220121324404), we get a palindrome (42662433426624).

The spelling of 40442312102220 in words is "forty trillion, four hundred forty-two billion, three hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 32097073097 64194146194 96291219291 128388292388 160485365485 192582438582 224679511679 288873657873 320970730970 385164877164 449359023358 481456096455 577747315746 641941461940 674038535037 898718046716 962912192910 1123397558395 1155494631492 1348077070074 1444368289365 1925824385820 2022115605111 2246795116790 2696154140148 2888736578730 3370192675185 4044231210222 4493590233580 5777473157460 6740385350370 8088462420444 10110578025555 13480770700740 20221156051110 40442312102220