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2114010415 = 511475983167
BaseRepresentation
bin111111000000001…
…0011110100101111
312110022212212010001
41332000103310233
513312141313130
6545434325131
7103246535446
oct17600236457
95408785101
102114010415
11995338350
124abb897a7
13278c84c4a
14160a95d5d
15c58d36ca
hex7e013d2f

2114010415 has 64 divisors (see below), whose sum is σ = 2926264320. Its totient is φ = 1452672640.

The previous prime is 2114010397. The next prime is 2114010427. The reversal of 2114010415 is 5140104112.

It is not a de Polignac number, because 2114010415 - 25 = 2114010383 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2114010392 and 2114010401.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12658662 + ... + 12658828.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 22114010415 is an apocalyptic number.

2114010415 is a deficient number, since it is larger than the sum of its proper divisors (812253905).

2114010415 is a wasteful number, since it uses less digits than its factorization.

2114010415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2114010415 is about 45978.3689902110. The cubic root of 2114010415 is about 1283.4207035961.

Adding to 2114010415 its reverse (5140104112), we get a palindrome (7254114527).

The spelling of 2114010415 in words is "two billion, one hundred fourteen million, ten thousand, four hundred fifteen".

Divisors: 1 5 11 47 55 59 83 167 235 295 415 517 649 835 913 1837 2585 2773 3245 3901 4565 4897 7849 9185 9853 13861 13865 19505 24485 30503 39245 42911 49265 53867 69305 86339 108383 152471 152515 214555 230159 269335 431695 463091 541915 651467 762355 817799 1150795 2315455 2531749 3257335 4088995 5094001 7166137 8995789 12658745 25470005 35830685 38436553 44978945 192182765 422802083 2114010415