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214146422061 = 311213193476883
BaseRepresentation
bin1100011101110000011…
…1110001010100101101
3202110202020021101101020
43013130013301110231
512002032441001221
6242213313004353
721320514361005
oct3073407612455
9673666241336
10214146422061
1182901088500
12356052536b9
131726a076510
14a516bd1005
15588537bac6
hex31dc1f152d

214146422061 has 96 divisors (see below), whose sum is σ = 356853342720. Its totient is φ = 113153293440.

The previous prime is 214146422053. The next prime is 214146422071. The reversal of 214146422061 is 160224641412.

It is not a de Polignac number, because 214146422061 - 23 = 214146422053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214146422051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31108926 + ... + 31115808.

It is an arithmetic number, because the mean of its divisors is an integer number (3717222320).

Almost surely, 2214146422061 is an apocalyptic number.

It is an amenable number.

214146422061 is a deficient number, since it is larger than the sum of its proper divisors (142706920659).

214146422061 is a wasteful number, since it uses less digits than its factorization.

214146422061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 214146422061 in words is "two hundred fourteen billion, one hundred forty-six million, four hundred twenty-two thousand, sixty-one".

Divisors: 1 3 11 13 19 33 39 57 121 143 209 247 347 363 429 627 741 1041 1573 2299 2717 3817 4511 4719 6593 6883 6897 8151 11451 13533 19779 20649 29887 41987 49621 72523 75713 85709 89479 89661 125961 130777 148863 217569 227139 257127 268437 392331 545831 797753 832843 942799 984269 1438547 1637493 1700101 2388401 2393259 2498529 2828397 2952807 4315641 5100303 7165203 10370789 10826959 15824017 18701111 26272411 31049213 31112367 32480877 45379619 47472051 56103333 78817233 93147639 136138857 205712221 288996521 341541343 499175809 589935047 617136663 866989563 1024624029 1497527427 1769805141 3756954773 5490933899 6489285517 11270864319 16472801697 19467856551 71382140687 214146422061