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2141061345 = 3251731137659
BaseRepresentation
bin111111110011110…
…0000000011100001
312112012210012000100
41333213200003201
513341102430340
6552242213013
7104025502233
oct17747400341
95465705010
102141061345
119a9634095
124b9054169
13281766807
141644d8253
15c7e78830
hex7f9e00e1

2141061345 has 96 divisors (see below), whose sum is σ = 4092042240. Its totient is φ = 1030901760.

The previous prime is 2141061323. The next prime is 2141061361. The reversal of 2141061345 is 5431601412.

It is a happy number.

2141061345 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 613 + 45 = 666.

It is not a de Polignac number, because 2141061345 - 27 = 2141061217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3248626 + ... + 3249284.

It is an arithmetic number, because the mean of its divisors is an integer number (42625440).

Almost surely, 22141061345 is an apocalyptic number.

It is an amenable number.

2141061345 is a deficient number, since it is larger than the sum of its proper divisors (1950980895).

2141061345 is a wasteful number, since it uses less digits than its factorization.

2141061345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2141061345 is about 46271.6040893332. The cubic root of 2141061345 is about 1288.8717465090.

Adding to 2141061345 its reverse (5431601412), we get a palindrome (7572662757).

The spelling of 2141061345 in words is "two billion, one hundred forty-one million, sixty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 31 45 51 85 93 137 153 155 255 279 411 465 527 659 685 765 1233 1395 1581 1977 2055 2329 2635 3295 4247 4743 5931 6165 6987 7905 9885 11203 11645 12741 20429 20961 21235 23715 29655 33609 34935 38223 56015 61287 63705 72199 90283 100827 102145 104805 168045 183861 191115 216597 270849 306435 347293 360995 451415 504135 649791 812547 919305 1041879 1082985 1354245 1534811 1736465 2798773 3125637 3248955 4062735 4604433 5209395 7674055 8396319 13813299 13993865 15628185 23022165 25188957 41981595 47579141 69066495 125944785 142737423 237895705 428212269 713687115 2141061345