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4124334214 = 273111342043
BaseRepresentation
bin1111010111010100…
…0101100010000110
3101122102122212221001
43311311011202012
531421312143324
61521130443514
7204130156000
oct36565054206
911572585831
104124334214
111827096380
1297129359a
13509605360
142b1a7b370
15192134e44
hexf5d45886

4124334214 has 64 divisors (see below), whose sum is σ = 8476070400. Its totient is φ = 1483241760.

The previous prime is 4124334211. The next prime is 4124334233.

4124334214 is nontrivially palindromic in base 10.

4124334214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124334211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77077 + ... + 119119.

It is an arithmetic number, because the mean of its divisors is an integer number (132438600).

Almost surely, 24124334214 is an apocalyptic number.

4124334214 is an abundant number, since it is smaller than the sum of its proper divisors (4351736186).

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

4124334214 is a wasteful number, since it uses less digits than its factorization.

4124334214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42090 (or 42076 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4124334214 is about 64220.9795471854. The cubic root of 4124334214 is about 1603.6808762563.

It can be divided in two parts, 41243 and 34214, that added together give a palindrome (75457).

The spelling of 4124334214 in words is "four billion, one hundred twenty-four million, three hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 343 539 637 686 1001 1078 1274 2002 3773 4459 7007 7546 8918 14014 42043 49049 84086 98098 294301 462473 546559 588602 924946 1093118 2060107 3237311 3825913 4120214 6012149 6474622 7651826 12024298 14420749 22661177 26781391 28841498 42085043 45322354 53562782 84170086 158628239 187469737 294595301 317256478 374939474 589190602 2062167107 4124334214