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214202531143242 = 232371631973162099
BaseRepresentation
bin110000101101000011101001…
…110001110101111001001010
31001002102120011200122002121100
4300231003221301311321022
5211033443240433040432
62035323141225522230
763055423256210505
oct6055035161657112
91032376150562540
10214202531143242
1162284868644554
1220035a76343376
13926a29aa46895
143ac765a3b013c
1519b6d7574007c
hexc2d0e9c75e4a

214202531143242 has 48 divisors (see below), whose sum is σ = 479573102080800. Its totient is φ = 69044888133216.

The previous prime is 214202531143163. The next prime is 214202531143369. The reversal of 214202531143242 is 242341135202412.

214202531143242 is a `hidden beast` number, since 2 + 1 + 4 + 20 + 253 + 1 + 143 + 242 = 666.

214202531143242 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2142025311432423 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214202531143197 and 214202531143206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986472492 + ... + 986689607.

It is an arithmetic number, because the mean of its divisors is an integer number (9991106293350).

Almost surely, 2214202531143242 is an apocalyptic number.

214202531143242 is an abundant number, since it is smaller than the sum of its proper divisors (265370570937558).

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

214202531143242 is a wasteful number, since it uses less digits than its factorization.

214202531143242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973162307 (or 1973162304 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 214202531143242 its reverse (242341135202412), we get a palindrome (456543666345654).

The spelling of 214202531143242 in words is "two hundred fourteen trillion, two hundred two billion, five hundred thirty-one million, one hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 163 222 326 333 489 666 978 1467 2934 6031 12062 18093 36186 54279 108558 1973162099 3946324198 5919486297 11838972594 17758458891 35516917782 73006997663 146013995326 219020992989 321625422137 438041985978 643250844274 657062978967 964876266411 1314125957934 1929752532822 2894628799233 5789257598466 11900140619069 23800281238138 35700421857207 71400843714414 107101265571621 214202531143242