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2141341434 = 23443307399
BaseRepresentation
bin111111110100010…
…0100011011111010
312112020022102020000
41333220210123322
513341140411214
6552252213430
7104031046641
oct17750443372
95466272200
102141341434
119a9805571
124b916a276
1328183414b
1416456c358
15c7ed1809
hex7fa246fa

2141341434 has 40 divisors (see below), whose sum is σ = 4909792800. Its totient is φ = 697178664.

The previous prime is 2141341429. The next prime is 2141341453. The reversal of 2141341434 is 4341431412.

2141341434 is a `hidden beast` number, since 214 + 1 + 3 + 414 + 34 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2141341398 and 2141341407.

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 19 ways as a sum of consecutive naturals, for example, 146734 + ... + 160665.

It is an arithmetic number, because the mean of its divisors is an integer number (122744820).

Almost surely, 22141341434 is an apocalyptic number.

2141341434 is an abundant number, since it is smaller than the sum of its proper divisors (2768451366).

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

2141341434 is a wasteful number, since it uses less digits than its factorization.

2141341434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307456 (or 307447 counting only the distinct ones).

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

The square root of 2141341434 is about 46274.6305657863. The cubic root of 2141341434 is about 1288.9279465269.

Adding to 2141341434 its reverse (4341431412), we get a palindrome (6482772846).

The spelling of 2141341434 in words is "two billion, one hundred forty-one million, three hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 2322 3483 6966 307399 614798 922197 1844394 2766591 5533182 8299773 13218157 16599546 24899319 26436314 39654471 49798638 79308942 118963413 237926826 356890239 713780478 1070670717 2141341434