Search a number
-
+
114107561622 = 23319255143597
BaseRepresentation
bin110101001000101010…
…1110011011010010110
3101220112100111201122000
41222101111303122112
53332143013432442
6124230441020130
711146456161525
oct1522125633226
9356470451560
10114107561622
114443581aa3a
121a146484646
13a9b64abb42
1457469364bc
152e7ca17d4c
hex1a91573696

114107561622 has 64 divisors (see below), whose sum is σ = 267029030400. Its totient is φ = 36019015200.

The previous prime is 114107561621. The next prime is 114107561629. The reversal of 114107561622 is 226165701411.

114107561622 is a `hidden beast` number, since 1 + 1 + 4 + 10 + 7 + 5 + 616 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114107561621) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2595528 + ... + 2639124.

It is an arithmetic number, because the mean of its divisors is an integer number (4172328600).

Almost surely, 2114107561622 is an apocalyptic number.

114107561622 is an abundant number, since it is smaller than the sum of its proper divisors (152921468778).

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

114107561622 is a wasteful number, since it uses less digits than its factorization.

114107561622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46178 (or 46172 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 114107561622 in words is "one hundred fourteen billion, one hundred seven million, five hundred sixty-one thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2551 5102 7653 15306 22959 43597 45918 48469 68877 87194 96938 130791 137754 145407 261582 290814 392373 436221 784746 828343 872442 1177119 1308663 1656686 2354238 2485029 2617326 4970058 7455087 14910174 22365261 44730522 111215947 222431894 333647841 667295682 1000943523 2001887046 2113102993 3002830569 4226205986 6005661138 6339308979 12678617958 19017926937 38035853874 57053780811 114107561622