Search a number
-
+
14046854382 = 2331130777029
BaseRepresentation
bin11010001010100000…
…11111110011101110
31100020221122010201000
431011100133303232
5212231443320012
610241504501130
71005044202141
oct150520376356
940227563630
1014046854382
115a590a0670
12288031a7a6
13142b235572
149737d2058
155732daddc
hex34541fcee

14046854382 has 64 divisors (see below), whose sum is σ = 34164345600. Its totient is φ = 4242702240.

The previous prime is 14046854369. The next prime is 14046854383. The reversal of 14046854382 is 28345864041.

14046854382 is a `hidden beast` number, since 1 + 40 + 4 + 68 + 543 + 8 + 2 = 666.

It is a super-2 number, since 2×140468543822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14046854383) 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 31 ways as a sum of consecutive naturals, for example, 143844 + ... + 220872.

It is an arithmetic number, because the mean of its divisors is an integer number (533817900).

Almost surely, 214046854382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14046854382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082172800).

14046854382 is an abundant number, since it is smaller than the sum of its proper divisors (20117491218).

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

14046854382 is a wasteful number, since it uses less digits than its factorization.

14046854382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77358 (or 77352 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 14046854382 in words is "fourteen billion, forty-six million, eight hundred fifty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 307 594 614 921 1842 2763 3377 5526 6754 8289 10131 16578 20262 30393 60786 77029 91179 154058 182358 231087 462174 693261 847319 1386522 1694638 2079783 2541957 4159566 5083914 7625871 15251742 22877613 23647903 45755226 47295806 70943709 141887418 212831127 260126933 425662254 520253866 638493381 780380799 1276986762 1560761598 2341142397 4682284794 7023427191 14046854382