Search a number
-
+
214351351400223 = 33711011497430131
BaseRepresentation
bin110000101111001110010000…
…001010000100011100011111
31001002221210022020012110022000
4300233032100022010130133
5211043413031424301343
62035515352412253343
763102242211422652
oct6057162012043437
91032853266173260
10214351351400223
1162331996812274
122005a889a71253
13927b326a74c3b
143ad09371c5899
1519bab85985ed3
hexc2f39028471f

214351351400223 has 64 divisors (see below), whose sum is σ = 327401336448000. Its totient is φ = 138557064240000.

The previous prime is 214351351400177. The next prime is 214351351400257. The reversal of 214351351400223 is 322004153153412.

214351351400223 is a `hidden beast` number, since 2 + 1 + 43 + 5 + 1 + 351 + 40 + 0 + 223 = 666.

It is not a de Polignac number, because 214351351400223 - 221 = 214351349303071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214351351400323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25133868 + ... + 32563998.

It is an arithmetic number, because the mean of its divisors is an integer number (5115645882000).

Almost surely, 2214351351400223 is an apocalyptic number.

214351351400223 is a deficient number, since it is larger than the sum of its proper divisors (113049985047777).

214351351400223 is a wasteful number, since it uses less digits than its factorization.

214351351400223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430461 (or 7430455 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 214351351400223 in words is "two hundred fourteen trillion, three hundred fifty-one billion, three hundred fifty-one million, four hundred thousand, two hundred twenty-three".

Divisors: 1 3 9 27 71 101 149 213 303 447 639 909 1341 1917 2727 4023 7171 10579 15049 21513 31737 45147 64539 95211 135441 193617 285633 406323 1068479 3205437 7430131 9616311 22290393 28848933 66871179 200613537 527539301 750443231 1107089519 1582617903 2251329693 3321268557 4747853709 6753989079 9963805671 14243561127 20261967237 29891417013 53281469401 78603355849 111816041419 159844408203 235810067547 335448124257 479533224609 707430202641 1006344372771 1438599673827 2122290607923 3019033118313 7938938940749 23816816822247 71450450466741 214351351400223