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214011152210034 = 233107188983195991
BaseRepresentation
bin110000101010010001011010…
…101101001001100001110010
31001001202021012011101222111000
4300222101122231021201302
5211022324314431210114
62035055211023102430
763035536600134144
oct6052213255114162
91031667164358430
10214011152210034
1162210690188443
1220004965a41a16
13925521b83127a
143abc2a3264c94
1519b1dc4095e09
hexc2a45ab49872

214011152210034 has 64 divisors (see below), whose sum is σ = 480030003578880. Its totient is φ = 70669614799440.

The previous prime is 214011152209979. The next prime is 214011152210039. The reversal of 214011152210034 is 430012251110412.

214011152210034 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 1 + 1 + 1 + 522 + 100 + 34 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214011152210039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091845779 + ... + 1092041769.

It is an arithmetic number, because the mean of its divisors is an integer number (7500468805920).

Almost surely, 2214011152210034 is an apocalyptic number.

214011152210034 is an abundant number, since it is smaller than the sum of its proper divisors (266018851368846).

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

214011152210034 is a wasteful number, since it uses less digits than its factorization.

214011152210034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385092 (or 385086 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 214011152210034 in words is "two hundred fourteen trillion, eleven billion, one hundred fifty-two million, two hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 188983 195991 377966 391982 566949 587973 1133898 1175946 1700847 1763919 3401694 3527838 5102541 5291757 10205082 10583514 20221181 20971037 40442362 41942074 60663543 62913111 121327086 125826222 181990629 188739333 363981258 377478666 545971887 566217999 1091943774 1132435998 37038967153 74077934306 111116901459 222233802918 333350704377 666701408754 1000052113131 2000104226262 3963169485371 7926338970742 11889508456113 23779016912226 35668525368339 71337050736678 107005576105017 214011152210034