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2146132014 = 231322116501
BaseRepresentation
bin111111111101011…
…0110000000101110
312112120022210122220
41333322312000232
513343402211024
6552543020210
7104116551435
oct17772660056
95476283586
102146132014
11a01487824
124ba89a666
13282820800
1416505811c
15c862ae79
hex7feb602e

2146132014 has 24 divisors (see below), whose sum is σ = 4647838392. Its totient is φ = 660348000.

The previous prime is 2146131959. The next prime is 2146132033. The reversal of 2146132014 is 4102316412.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1057237 + ... + 1059264.

It is an arithmetic number, because the mean of its divisors is an integer number (193659933).

Almost surely, 22146132014 is an apocalyptic number.

2146132014 is an abundant number, since it is smaller than the sum of its proper divisors (2501706378).

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

2146132014 is a wasteful number, since it uses less digits than its factorization.

2146132014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116532 (or 2116519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2146132014 is about 46326.3641353387. The cubic root of 2146132014 is about 1289.8884213330. Note that the first 3 decimals are identical.

Adding to 2146132014 its reverse (4102316412), we get a palindrome (6248448426).

The spelling of 2146132014 in words is "two billion, one hundred forty-six million, one hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2116501 4233002 6349503 12699006 27514513 55029026 82543539 165087078 357688669 715377338 1073066007 2146132014