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4134238324314 = 237296213332309
BaseRepresentation
bin111100001010010011110…
…011101000011001011010
3112122020012011210010111120
4330022103303220121122
51020213410002334224
612443124243110110
7604455164640120
oct74122363503132
915566164703446
104134238324314
11135435883356a
125692b0072336
1323cb1aaa6b77
14104153679910
157281ae6d779
hex3c293ce865a

4134238324314 has 32 divisors (see below), whose sum is σ = 9449747936640. Its totient is φ = 1181203407552.

The previous prime is 4134238324313. The next prime is 4134238324327.

4134238324314 is nontrivially palindromic in base 10.

4134238324314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4134238324313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12274792 + ... + 12607100.

It is an arithmetic number, because the mean of its divisors is an integer number (295304623020).

Almost surely, 24134238324314 is an apocalyptic number.

4134238324314 is an abundant number, since it is smaller than the sum of its proper divisors (5315509612326).

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

4134238324314 is a wasteful number, since it uses less digits than its factorization.

4134238324314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628534.

The product of its digits is 663552, while the sum is 42.

The spelling of 4134238324314 in words is "four trillion, one hundred thirty-four billion, two hundred thirty-eight million, three hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 296213 332309 592426 664618 888639 996927 1777278 1993854 2073491 2326163 4146982 4652326 6220473 6978489 12440946 13956978 98434245817 196868491634 295302737451 590605474902 689039720719 1378079441438 2067119162157 4134238324314