Search a number
-
+
13342141114432 = 261379208997171
BaseRepresentation
bin1100001000100111010110…
…0101001110100001000000
31202020111101202100222100121
43002021311211032201000
53222044201111130212
644213143420030024
72544636460161004
oct302116545164100
952214352328317
1013342141114432
114284408914a99
1215b5968092314
1375a20a3212a0
14341a97c44704
151820d67b6d07
hexc227594e840

13342141114432 has 112 divisors (see below), whose sum is σ = 28887447635200. Its totient is φ = 6076990033920.

The previous prime is 13342141114397. The next prime is 13342141114441. The reversal of 13342141114432 is 23441114124331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137257207 + ... + 137354377.

It is an arithmetic number, because the mean of its divisors is an integer number (257923639600).

Almost surely, 213342141114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342141114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443723817600).

13342141114432 is an abundant number, since it is smaller than the sum of its proper divisors (15545306520768).

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

13342141114432 is a wasteful number, since it uses less digits than its factorization.

13342141114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99364 (or 99354 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

Adding to 13342141114432 its reverse (23441114124331), we get a palindrome (36783255238763).

The spelling of 13342141114432 in words is "thirteen trillion, three hundred forty-two billion, one hundred forty-one million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 158 208 316 416 632 832 1027 1264 2054 2089 2528 4108 4178 5056 8216 8356 16432 16712 27157 32864 33424 54314 65728 66848 97171 108628 133696 165031 194342 217256 330062 388684 434512 660124 777368 869024 1263223 1320248 1554736 1738048 2145403 2526446 2640496 3109472 4290806 5052892 5280992 6218944 7676509 8581612 10105784 10561984 15353018 17163224 20211568 30706036 34326448 40423136 61412072 68652896 80846272 99794617 122824144 137305792 199589234 202990219 245648288 399178468 405980438 491296576 798356936 811960876 1596713872 1623921752 2638872847 3193427744 3247843504 5277745694 6386855488 6495687008 10555491388 12991374016 16036227301 21110982776 32072454602 42221965552 64144909204 84443931104 128289818408 168887862208 208470954913 256579636816 416941909826 513159273632 833883819652 1026318547264 1667767639304 3335535278608 6671070557216 13342141114432