Search a number
-
+
14433130011222 = 235132978774001
BaseRepresentation
bin1101001000000111100110…
…0101100101101001010110
31220002210102122110021100000
43102001321211211221112
53342433022240324342
650410253254232130
73016521262611426
oct322017145455126
956083378407300
1014433130011222
11466506869084a
1217512a2055646
1380906625c510
1437c7d2646486
151a068b0e644c
hexd2079965a56

14433130011222 has 96 divisors (see below), whose sum is σ = 36128908277280. Its totient is φ = 4287826368000.

The previous prime is 14433130011221. The next prime is 14433130011281. The reversal of 14433130011222 is 22211003133441.

14433130011222 is a `hidden beast` number, since 1 + 4 + 4 + 331 + 300 + 1 + 1 + 2 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14433130011221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39203779 + ... + 39570222.

It is an arithmetic number, because the mean of its divisors is an integer number (376342794555).

Almost surely, 214433130011222 is an apocalyptic number.

14433130011222 is an abundant number, since it is smaller than the sum of its proper divisors (21695778266058).

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

14433130011222 is a wasteful number, since it uses less digits than its factorization.

14433130011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78774060 (or 78774048 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14433130011222 its reverse (22211003133441), we get a palindrome (36644133144663).

The spelling of 14433130011222 in words is "fourteen trillion, four hundred thirty-three billion, one hundred thirty million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 243 261 351 377 486 522 702 754 783 1053 1131 1566 2106 2262 2349 3159 3393 4698 6318 6786 7047 10179 14094 20358 30537 61074 91611 183222 78774001 157548002 236322003 472644006 708966009 1024062013 1417932018 2048124026 2126898027 2284446029 3072186039 4253796054 4568892058 6144372078 6380694081 6853338087 9216558117 12761388162 13706676174 18433116234 19142082243 20560014261 27649674351 29697798377 38284164486 41120028522 55299348702 59395596754 61680042783 82949023053 89093395131 123360085566 165898046106 178186790262 185040128349 248847069159 267280185393 370080256698 497694138318 534560370786 555120385047 801840556179 1110240770094 1603681112358 2405521668537 4811043337074 7216565005611 14433130011222