Search a number
-
+
13314313200144 = 2431152363481571
BaseRepresentation
bin1100000110111111101011…
…1010001010001000010000
31202010211120101020110102110
43001233322322022020100
53221120203134401034
644152302215145320
72542633043620365
oct301577272121020
952124511213373
1013314313200144
114273628775120
1215b04a0675240
137576c3c66008
143405b808c46c
151815086e3de9
hexc1bfae8a210

13314313200144 has 80 divisors (see below), whose sum is σ = 37522949877504. Its totient is φ = 4034554934400.

The previous prime is 13314313200131. The next prime is 13314313200197. The reversal of 13314313200144 is 44100231341331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27406879 + ... + 27888449.

Almost surely, 213314313200144 is an apocalyptic number.

It is an amenable number.

13314313200144 is an abundant number, since it is smaller than the sum of its proper divisors (24208636677360).

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

13314313200144 is a wasteful number, since it uses less digits than its factorization.

13314313200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533956 (or 533950 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13314313200144 its reverse (44100231341331), we get a palindrome (57414544541475).

The spelling of 13314313200144 in words is "thirteen trillion, three hundred fourteen billion, three hundred thirteen million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 52363 104726 157089 209452 314178 418904 481571 575993 628356 837808 963142 1151986 1256712 1444713 1727979 1926284 2303972 2513424 2889426 3455958 3852568 4607944 5297281 5778852 6911916 7705136 9215888 10594562 11557704 13823832 15891843 21189124 23115408 27647664 31783686 42378248 63567372 84756496 127134744 254269488 25216502273 50433004546 75649506819 100866009092 151299013638 201732018184 277381525003 302598027276 403464036368 554763050006 605196054552 832144575009 1109526100012 1210392109104 1664289150018 2219052200024 3328578300036 4438104400048 6657156600072 13314313200144