Search a number
-
+
132405040720 = 2456977237217
BaseRepresentation
bin111101101001111110…
…1001001011001010000
3110122202112102222021001
41323103331021121100
54132131142300340
6140454231311344
712365056163611
oct1732375113120
9418675388231
10132405040720
1151175214897
12217b221b554
13c641236954
1465a0a7bc08
15369e08329a
hex1ed3f49650

132405040720 has 40 divisors (see below), whose sum is σ = 307887139944. Its totient is φ = 52954202112.

The previous prime is 132405040673. The next prime is 132405040763. The reversal of 132405040720 is 27040504231.

It can be written as a sum of positive squares in 4 ways, for example, as 11186869824 + 121218170896 = 105768^2 + 348164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 439552 + ... + 676768.

Almost surely, 2132405040720 is an apocalyptic number.

132405040720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132405040720 is an abundant number, since it is smaller than the sum of its proper divisors (175482099224).

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

132405040720 is a wasteful number, since it uses less digits than its factorization.

132405040720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244207 (or 244201 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 132405040720 its reverse (27040504231), we get a palindrome (159445544951).

The spelling of 132405040720 in words is "one hundred thirty-two billion, four hundred five million, forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6977 13954 27908 34885 55816 69770 111632 139540 237217 279080 474434 558160 948868 1186085 1897736 2372170 3795472 4744340 9488680 18977360 1655063009 3310126018 6620252036 8275315045 13240504072 16550630090 26481008144 33101260180 66202520360 132405040720