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2140414335 = 33515854921
BaseRepresentation
bin111111110010100…
…0010000101111111
312112011120022111000
41333211002011333
513340421224320
6552220301343
7104020136013
oct17745020577
95464508430
102140414335
119a9231a74
124b89a1853
1328159b177
141643aa543
15c7d9bc90
hex7f94217f

2140414335 has 16 divisors (see below), whose sum is σ = 3805181280. Its totient is φ = 1141554240.

The previous prime is 2140414333. The next prime is 2140414337. The reversal of 2140414335 is 5334140412.

It is a happy number.

2140414335 is a `hidden beast` number, since 214 + 0 + 414 + 3 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (2140414333) and next prime (2140414337).

It is not a de Polignac number, because 2140414335 - 21 = 2140414333 is a prime.

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 = 2140414299 and 2140414308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140414333) 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 15 ways as a sum of consecutive naturals, for example, 7927326 + ... + 7927595.

It is an arithmetic number, because the mean of its divisors is an integer number (237823830).

Almost surely, 22140414335 is an apocalyptic number.

2140414335 is a deficient number, since it is larger than the sum of its proper divisors (1664766945).

2140414335 is a wasteful number, since it uses less digits than its factorization.

2140414335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15854935 (or 15854929 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2140414335 is about 46264.6121241711. The cubic root of 2140414335 is about 1288.7419048419.

Adding to 2140414335 its reverse (5334140412), we get a palindrome (7474554747).

The spelling of 2140414335 in words is "two billion, one hundred forty million, four hundred fourteen thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 15854921 47564763 79274605 142694289 237823815 428082867 713471445 2140414335