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13423121233144 = 2372671117145751
BaseRepresentation
bin1100001101010101000001…
…0111110111010011111000
31202112020102101202020110121
43003111100113313103320
53224411023013430034
644314255145023024
72553534312630400
oct303252027672370
952466371666417
1013423121233144
114305793aa5837
1216095a8184a74
13764a44521bac
1434597ac33800
15184275d3b1b4
hexc35505f74f8

13423121233144 has 96 divisors (see below), whose sum is σ = 29717757740160. Its totient is φ = 5666272920000.

The previous prime is 13423121233141. The next prime is 13423121233147. The reversal of 13423121233144 is 44133212132431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13423121233141) and next prime (13423121233147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423121233141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293372269 + ... + 293418019.

It is an arithmetic number, because the mean of its divisors is an integer number (309559976460).

Almost surely, 213423121233144 is an apocalyptic number.

13423121233144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13423121233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858878870080).

13423121233144 is an abundant number, since it is smaller than the sum of its proper divisors (16294636507016).

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

13423121233144 is a wasteful number, since it uses less digits than its factorization.

13423121233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57009 (or 56998 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 13423121233144 its reverse (44133212132431), we get a palindrome (57556333365575).

The spelling of 13423121233144 in words is "thirteen trillion, four hundred twenty-three billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 392 469 536 938 1876 3283 3752 6566 11171 13132 22342 26264 44684 45751 78197 89368 91502 156394 183004 312788 320257 366008 547379 625576 640514 748457 1094758 1281028 1496914 2189516 2241799 2562056 2993828 3065317 4379032 4483598 5239199 5987656 6130634 8967196 10478398 12261268 17934392 20956796 21457219 24522536 36674393 41913592 42914438 73348786 85828876 146697572 150200533 171657752 293395144 300401066 511084421 600802132 1022168842 1201604264 2044337684 3577590947 4088675368 7155181894 14310363788 25043136629 28620727576 34242656207 50086273258 68485312414 100172546516 136970624828 200345093032 239698593449 273941249656 479397186898 958794373796 1677890154143 1917588747592 3355780308286 6711560616572 13423121233144