Search a number
-
+
143413101024 = 25323935317707
BaseRepresentation
bin1000010110010000010…
…1100100000111100000
3111201011201001101011020
42011210011210013200
54322202223213044
6145514424245440
713234624150104
oct2054405440740
9451151041136
10143413101024
1155903a58496
1223964910880
13106a6a23cbb
146d26a49904
153ae56b5a19
hex21641641e0

143413101024 has 96 divisors (see below), whose sum is σ = 379126863360. Its totient is φ = 47466811392.

The previous prime is 143413101019. The next prime is 143413101047. The reversal of 143413101024 is 420101314341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 143413100985 and 143413101003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8090379 + ... + 8108085.

It is an arithmetic number, because the mean of its divisors is an integer number (3949238160).

Almost surely, 2143413101024 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 143413101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189563431680).

143413101024 is an abundant number, since it is smaller than the sum of its proper divisors (235713762336).

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

143413101024 is a wasteful number, since it uses less digits than its factorization.

143413101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18312 (or 18304 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 143413101024 its reverse (420101314341), we get a palindrome (563514415365).

The spelling of 143413101024 in words is "one hundred forty-three billion, four hundred thirteen million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 353 478 706 717 956 1059 1412 1434 1912 2118 2824 2868 3824 4236 5648 5736 7648 8472 11296 11472 16944 17707 22944 33888 35414 53121 70828 84367 106242 141656 168734 212484 253101 283312 337468 424968 506202 566624 674936 849936 1012404 1349872 1699872 2024808 2699744 4049616 4231973 6250571 8099232 8463946 12501142 12695919 16927892 18751713 25002284 25391838 33855784 37503426 50004568 50783676 67711568 75006852 100009136 101567352 135423136 150013704 200018272 203134704 300027408 406269408 600054816 1493886469 2987772938 4481659407 5975545876 8963318814 11951091752 17926637628 23902183504 35853275256 47804367008 71706550512 143413101024