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2141343414 = 232723178317
BaseRepresentation
bin111111110100010…
…0100111010110110
312112020022111221100
41333220210322312
513341140442124
6552252230530
7104031055500
oct17750447266
95466274840
102141343414
119a9807001
124b916b446
13281835012
1416456cd70
15c7ed21c9
hex7fa24eb6

2141343414 has 72 divisors (see below), whose sum is σ = 5571229248. Its totient is φ = 592068960.

The previous prime is 2141343403. The next prime is 2141343419. The reversal of 2141343414 is 4143431412.

2141343414 is a `hidden beast` number, since 214 + 1 + 3 + 434 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141343419) 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 35 ways as a sum of consecutive naturals, for example, 11817 + ... + 66500.

It is an arithmetic number, because the mean of its divisors is an integer number (77378184).

Almost surely, 22141343414 is an apocalyptic number.

2141343414 is an abundant number, since it is smaller than the sum of its proper divisors (3429885834).

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

2141343414 is a wasteful number, since it uses less digits than its factorization.

2141343414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78370 (or 78360 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2141343414 is about 46274.6519597933. The cubic root of 2141343414 is about 1288.9283437976.

Adding to 2141343414 its reverse (4143431412), we get a palindrome (6284774826).

The spelling of 2141343414 in words is "two billion, one hundred forty-one million, three hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3906 4557 9114 13671 27342 78317 156634 234951 469902 548219 704853 1096438 1409706 1644657 2427827 3289314 3837533 4855654 4933971 7283481 7675066 9867942 11512599 14566962 16994789 21850443 23025198 33989578 34537797 43700886 50984367 69075594 101968734 118963523 152953101 237927046 305906202 356890569 713781138 1070671707 2141343414