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214341441020 = 225717591526431
BaseRepresentation
bin1100011110011110111…
…1101101010111111100
3202111020211020101002122
43013213233231113330
512002432402103040
6242244520542112
721325403121260
oct3074757552774
9674224211078
10214341441020
11829a11790a3
123565a621938
131729b5a8555
14a534a780a0
1558975501b5
hex31e7bed5fc

214341441020 has 96 divisors (see below), whose sum is σ = 553911644160. Its totient is φ = 67993297920.

The previous prime is 214341441011. The next prime is 214341441029. The reversal of 214341441020 is 20144143412.

214341441020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214341441011) and next prime (214341441029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214341441029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622796 + ... + 903635.

It is an arithmetic number, because the mean of its divisors is an integer number (5769912960).

Almost surely, 2214341441020 is an apocalyptic number.

214341441020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214341441020 is an abundant number, since it is smaller than the sum of its proper divisors (339570203140).

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

214341441020 is a wasteful number, since it uses less digits than its factorization.

214341441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526523 (or 1526521 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 214341441020 its reverse (20144143412), we get a palindrome (234485584432).

The spelling of 214341441020 in words is "two hundred fourteen billion, three hundred forty-one million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 59 68 70 85 118 119 140 170 236 238 295 340 413 476 590 595 826 1003 1180 1190 1652 2006 2065 2380 4012 4130 5015 7021 8260 10030 14042 20060 28084 35105 70210 140420 1526431 3052862 6105724 7632155 10685017 15264310 21370034 25949327 30528620 42740068 51898654 53425085 90059429 103797308 106850170 129746635 180118858 181645289 213700340 259493270 360237716 363290578 450297145 518986540 630416003 726581156 900594290 908226445 1260832006 1531010293 1801188580 1816452890 2521664012 3062020586 3152080015 3632905780 6124041172 6304160030 7655051465 10717072051 12608320060 15310102930 21434144102 30620205860 42868288204 53585360255 107170720510 214341441020