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214150353354 = 23275929398317
BaseRepresentation
bin1100011101110001011…
…0110001000111001010
3202110202111200010002200
43013130112301013022
512002034442301404
6242213533141030
721320562653340
oct3073426610712
9673674603080
10214150353354
1182903323103
123560662a776
131726ab21a22
14a517535990
1558858a6839
hex31dc5b11ca

214150353354 has 96 divisors (see below), whose sum is σ = 541110810240. Its totient is φ = 59942871936.

The previous prime is 214150353301. The next prime is 214150353379. The reversal of 214150353354 is 453353051412.

214150353354 is a `hidden beast` number, since 2 + 141 + 503 + 5 + 3 + 3 + 5 + 4 = 666.

214150353354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2129004 + ... + 2227320.

It is an arithmetic number, because the mean of its divisors is an integer number (5636570940).

Almost surely, 2214150353354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214150353354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270555405120).

214150353354 is an abundant number, since it is smaller than the sum of its proper divisors (326960456886).

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

214150353354 is a wasteful number, since it uses less digits than its factorization.

214150353354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98684 (or 98681 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 214150353354 in words is "two hundred fourteen billion, one hundred fifty million, three hundred fifty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 293 354 413 531 586 826 879 1062 1239 1758 2051 2478 2637 3717 4102 5274 6153 7434 12306 17287 18459 34574 36918 51861 98317 103722 121009 155583 196634 242018 294951 311166 363027 589902 688219 726054 884853 1089081 1376438 1769706 2064657 2178162 4129314 5800703 6193971 11601406 12387942 17402109 28806881 34804218 40604921 52206327 57613762 81209842 86420643 104412654 121814763 172841286 201648167 243629526 259261929 365444289 403296334 518523858 604944501 730888578 1209889002 1699605979 1814833503 3399211958 3629667006 5098817937 10197635874 11897241853 15296453811 23794483706 30592907622 35691725559 71383451118 107075176677 214150353354