Search a number
-
+
40342041444420 = 223251923747496733
BaseRepresentation
bin10010010110000110111010…
…00011001100000001000100
312021211122212020020200211200
421023003131003030001010
520241431000102210140
6221444513351302500
711332421252254032
oct1113033503140104
9167748766220750
1040342041444420
1111943a66753861
12463668407aa30
1319683133a40b1
149d67cad91552
1549e5c8210030
hex24b0dd0cc044

40342041444420 has 144 divisors (see below), whose sum is σ = 128817114229440. Its totient is φ = 10191223934208.

The previous prime is 40342041444377. The next prime is 40342041444421. The reversal of 40342041444420 is 2444414024304.

It is a happy number.

40342041444420 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 204 + 1 + 4 + 4 + 442 + 0 = 666.

40342041444420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40342041444421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80966374 + ... + 81463106.

It is an arithmetic number, because the mean of its divisors is an integer number (894563293260).

Almost surely, 240342041444420 is an apocalyptic number.

It is an amenable number.

40342041444420 is an abundant number, since it is smaller than the sum of its proper divisors (88475072785020).

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

40342041444420 is a wasteful number, since it uses less digits than its factorization.

40342041444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520514 (or 520509 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40342041444420 its reverse (2444414024304), we get a palindrome (42786455468724).

The spelling of 40342041444420 in words is "forty trillion, three hundred forty-two billion, forty-one million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 23747 47494 71241 94988 118735 142482 213723 237470 284964 356205 427446 451193 474940 496733 712410 854892 902386 993466 1068615 1353579 1424820 1490199 1804772 1986932 2137230 2255965 2483665 2707158 2980398 4060737 4274460 4470597 4511930 4967330 5414316 5960796 6767895 7450995 8121474 8941194 9023860 9437927 9934660 13535790 14901990 16242948 17882388 18875854 20303685 22352985 27071580 28313781 29803980 37751708 40607370 44705970 47189635 56627562 81214740 84941343 89411940 94379270 113255124 141568905 169882686 188758540 283137810 339765372 424706715 566275620 849413430 1698826860 11795918551 23591837102 35387755653 47183674204 58979592755 70775511306 106163266959 117959185510 141551022612 176938778265 212326533918 224122452469 235918371020 353877556530 424653067836 448244904938 530816334795 672367357407 707755113060 896489809876 1061632669590 1120612262345 1344734714814 2017102072221 2123265339180 2241224524690 2689469429628 3361836787035 4034204144442 4482449049380 6723673574070 8068408288884 10085510361105 13447347148140 20171020722210 40342041444420