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214444410201 = 33743127207769
BaseRepresentation
bin1100011110110111100…
…0100000010101011001
3202111111222222202021000
43013231320200111121
512003140232111301
6242303035535213
721331063261050
oct3075570402531
9674458882230
10214444410201
1182a4430839a
1235688bba509
13172b6a1b668
14a5445dd397
1558a15de786
hex31ede20559

214444410201 has 64 divisors (see below), whose sum is σ = 374451404800. Its totient is φ = 118746891648.

The previous prime is 214444410197. The next prime is 214444410203. The reversal of 214444410201 is 102014444412.

It is a happy number.

214444410201 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 44 + 410 + 201 = 666.

214444410201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214444410201 - 22 = 214444410197 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214444410203) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 928245 + ... + 1136013.

It is an arithmetic number, because the mean of its divisors is an integer number (5850803200).

Almost surely, 2214444410201 is an apocalyptic number.

214444410201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214444410201 is a deficient number, since it is larger than the sum of its proper divisors (160006994599).

214444410201 is a wasteful number, since it uses less digits than its factorization.

214444410201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207955 (or 207949 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 214444410201 its reverse (102014444412), we get a palindrome (316458854613).

The spelling of 214444410201 in words is "two hundred fourteen billion, four hundred forty-four million, four hundred ten thousand, two hundred one".

Divisors: 1 3 7 9 21 27 43 63 127 129 189 301 381 387 889 903 1143 1161 2667 2709 3429 5461 8001 8127 16383 24003 38227 49149 114681 147447 207769 344043 623307 1032129 1454383 1869921 4363149 5609763 8934067 13089447 26386663 26802201 39268341 62538469 79159989 80406603 184706641 187615407 237479967 241219809 554119923 562846221 712439901 1134626509 1662359769 1688538663 3403879527 4987079307 7942385563 10211638581 23827156689 30634915743 71481470067 214444410201