Search a number
-
+
14242134401140 = 2252549279367093
BaseRepresentation
bin1100111101000000000101…
…0111001010000001110100
31212102112102211111222200111
43033100001113022001310
53331320342401314030
650142425103352404
72666650236661162
oct317200127120164
955375384458614
1014242134401140
1145a106763a008
121720279bb2704
137c4048599819
143734743a0232
1519a70d41962a
hexcf4015ca074

14242134401140 has 24 divisors (see below), whose sum is σ = 29920215767400. Its totient is φ = 5694618803328.

The previous prime is 14242134401137. The next prime is 14242134401153. The reversal of 14242134401140 is 4110443124241.

It can be written as a sum of positive squares in 4 ways, for example, as 3943965627364 + 10298168773776 = 1985942^2 + 3209076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139632567 + ... + 139734526.

It is an arithmetic number, because the mean of its divisors is an integer number (1246675656975).

Almost surely, 214242134401140 is an apocalyptic number.

14242134401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14242134401140 is an abundant number, since it is smaller than the sum of its proper divisors (15678081366260).

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

14242134401140 is a wasteful number, since it uses less digits than its factorization.

14242134401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279369651 (or 279369649 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 14242134401140 its reverse (4110443124241), we get a palindrome (18352577525381).

The spelling of 14242134401140 in words is "fourteen trillion, two hundred forty-two billion, one hundred thirty-four million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2549 5098 10196 12745 25490 50980 279367093 558734186 1117468372 1396835465 2793670930 5587341860 712106720057 1424213440114 2848426880228 3560533600285 7121067200570 14242134401140