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124214041434 = 23743317216967
BaseRepresentation
bin111001110101110111…
…0111101101101011010
3102212121200122002121010
41303223232331231122
54013342243311214
6133021345554350
711655065634330
oct1635356755532
9385550562533
10124214041434
114875165189a
12200a70459b6
13b93726b302
146024c95b50
15336ee0a659
hex1cebbbdb5a

124214041434 has 64 divisors (see below), whose sum is σ = 291438360576. Its totient is φ = 34554873024.

The previous prime is 124214041433. The next prime is 124214041499. The reversal of 124214041434 is 434140412421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (124214041433) 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, 464019 + ... + 680985.

It is an arithmetic number, because the mean of its divisors is an integer number (4553724384).

Almost surely, 2124214041434 is an apocalyptic number.

124214041434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124214041434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145719180288).

124214041434 is an abundant number, since it is smaller than the sum of its proper divisors (167224319142).

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

124214041434 is a wasteful number, since it uses less digits than its factorization.

124214041434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217339.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 124214041434 its reverse (434140412421), we get a palindrome (558354453855).

The spelling of 124214041434 in words is "one hundred twenty-four billion, two hundred fourteen million, forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 317 602 634 903 951 1806 1902 2219 4438 6657 13314 13631 27262 40893 81786 95417 190834 216967 286251 433934 572502 650901 1301802 1518769 3037538 4556307 9112614 9329581 18659162 27988743 55977486 65307067 68778539 130614134 137557078 195921201 206335617 391842402 412671234 481449773 962899546 1444349319 2888698638 2957477177 5914954354 8872431531 17744863062 20702340239 41404680478 62107020717 124214041434