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2140412505 = 357114371607
BaseRepresentation
bin111111110010100…
…0001101001011001
312112011120012222020
41333211001221121
513340421200010
6552220245053
7104020130460
oct17745015131
95464505866
102140412505
119a9230660
124b89a0789
1328159a39a
141643a99d7
15c7d9b470
hex7f941a59

2140412505 has 128 divisors (see below), whose sum is σ = 4437835776. Its totient is φ = 855187200.

The previous prime is 2140412497. The next prime is 2140412507. The reversal of 2140412505 is 5052140412.

It is not a de Polignac number, because 2140412505 - 23 = 2140412497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2140412507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3525912 + ... + 3526518.

It is an arithmetic number, because the mean of its divisors is an integer number (34670592).

Almost surely, 22140412505 is an apocalyptic number.

It is an amenable number.

2140412505 is an abundant number, since it is smaller than the sum of its proper divisors (2297423271).

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

2140412505 is a wasteful number, since it uses less digits than its factorization.

2140412505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2140412505 is about 46264.5923466316. The cubic root of 2140412505 is about 1288.7415375612.

Adding to 2140412505 its reverse (5052140412), we get a palindrome (7192552917).

The spelling of 2140412505 in words is "two billion, one hundred forty million, four hundred twelve thousand, five hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 43 55 71 77 105 129 165 213 215 231 301 355 385 473 497 607 645 781 903 1065 1155 1419 1491 1505 1821 2343 2365 2485 3035 3053 3311 3905 4249 4515 5467 6677 7095 7455 9105 9159 9933 11715 12747 15265 16401 16555 20031 21245 21371 26101 27335 33385 33583 43097 45795 46739 49665 63735 64113 78303 82005 100155 100749 106855 129291 130505 140217 167915 182707 215485 233695 235081 287111 301679 320565 391515 474067 503745 548121 646455 701085 705243 861333 905037 913535 1175405 1422201 1435555 1508395 1853171 2009777 2370335 2740605 3318469 3526215 4306665 4525185 5559513 6029331 7111005 9265855 9955407 10048885 12972197 16592345 20384881 27797565 30146655 38916591 49777035 61154643 64860985 101924405 142694167 194582955 305773215 428082501 713470835 2140412505