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204240503214 = 235111515032
BaseRepresentation
bin1011111000110110101…
…1101100000110101110
3201112011212112120100000
42332031223230012232
511321241032100324
6233454330445130
720520161430066
oct2761553540656
9645155476300
10204240503214
1179688492010
12336bb8937a6
131634ba09787
149c5735c3a6
1554a58a49c9
hex2f8daec1ae

204240503214 has 144 divisors (see below), whose sum is σ = 504949221504. Its totient is φ = 61358958000.

The previous prime is 204240503183. The next prime is 204240503227. The reversal of 204240503214 is 412305042402.

204240503214 is a `hidden beast` number, since 2 + 0 + 42 + 405 + 0 + 3 + 214 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 406044487 + ... + 406044989.

It is an arithmetic number, because the mean of its divisors is an integer number (3506591816).

Almost surely, 2204240503214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204240503214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252474610752).

204240503214 is an abundant number, since it is smaller than the sum of its proper divisors (300708718290).

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

204240503214 is an equidigital number, since it uses as much as digits as its factorization.

204240503214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 204240503214 its reverse (412305042402), we get a palindrome (616545545616).

The spelling of 204240503214 in words is "two hundred four billion, two hundred forty million, five hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 151 162 198 243 297 302 453 486 503 594 891 906 1006 1359 1509 1661 1782 2673 2718 3018 3322 4077 4527 4983 5346 5533 8154 9054 9966 11066 12231 13581 14949 16599 24462 27162 29898 33198 36693 40743 44847 49797 73386 75953 81486 89694 99594 122229 134541 149391 151906 227859 244458 253009 269082 298782 403623 448173 455718 506018 683577 759027 807246 835483 896346 1344519 1367154 1518054 1670966 2050731 2277081 2506449 2689038 2783099 4101462 4554162 5012898 5566198 6152193 6831243 7519347 8349297 12304386 13662486 15038694 16698594 18456579 20493729 22558041 25047891 36913158 38204359 40987458 45116082 50095782 61481187 67674123 75143673 76408718 114613077 122962374 135348246 150287346 203022369 225431019 229226154 343839231 406044738 420247949 450862038 676293057 687678462 840495898 1031517693 1260743847 1352586114 2063035386 2521487694 3094553079 3782231541 6189106158 7564463082 9283659237 11346694623 18567318474 22693389246 34040083869 68080167738 102120251607 204240503214