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214205740086 = 231341474433217
BaseRepresentation
bin1100011101111110101…
…0000011010000110110
3202110220100220001102010
43013133222003100312
512002143132140321
6242223232225050
721322134514602
oct3073752032066
9673810801363
10214205740086
1182931612a68
123562109b186
1317279444c40
14a520a32502
15588a697676
hex31dfa83436

214205740086 has 128 divisors (see below), whose sum is σ = 483914704896. Its totient is φ = 62772203520.

The previous prime is 214205740043. The next prime is 214205740087. The reversal of 214205740086 is 680047502412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214205740087) 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, 66583950 + ... + 66587166.

It is an arithmetic number, because the mean of its divisors is an integer number (3780583632).

Almost surely, 2214205740086 is an apocalyptic number.

214205740086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214205740086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241957352448).

214205740086 is an abundant number, since it is smaller than the sum of its proper divisors (269708964810).

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

214205740086 is a wasteful number, since it uses less digits than its factorization.

214205740086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766.

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 214205740086 in words is "two hundred fourteen billion, two hundred five million, seven hundred forty thousand, eighty-six".

Divisors: 1 2 3 6 13 26 39 41 47 78 82 94 123 141 246 282 443 533 611 886 1066 1222 1329 1599 1833 1927 2658 3198 3217 3666 3854 5759 5781 6434 9651 11518 11562 17277 18163 19302 20821 25051 34554 36326 41642 41821 50102 54489 62463 75153 83642 108978 124926 125463 131897 150306 151199 236119 250926 263794 270673 302398 395691 453597 472238 541346 708357 791382 812019 853661 907194 1416714 1425131 1624038 1707322 1714661 1965587 2560983 2850262 3429322 3931174 4275393 5121966 5143983 5896761 6199159 8550786 10287966 11097593 11793522 12398318 18526703 18597477 22195186 33292779 37053406 37194954 55580109 58430371 66585558 66981157 80589067 111160218 116860742 133962314 161178134 175291113 200943471 241767201 350582226 401886942 483534402 759594823 870755041 1519189646 1741510082 2278784469 2612265123 2746227437 4557568938 5224530246 5492454874 8238682311 16477364622 35700956681 71401913362 107102870043 214205740086