Search a number
-
+
132314224140144 = 2432918848778751
BaseRepresentation
bin11110000101011011001110…
…010101000001111101110000
3122100111010010210000100112100
4132011123032111001331300
5114320314012334441034
61145224152044500400
736604246551266424
oct3605331625017560
9570433123010470
10132314224140144
1139183169114332
1212a0b471b4a700
1358aa240814017
142496084d30b84
151046be3890099
hex7856ce541f70

132314224140144 has 30 divisors (see below), whose sum is σ = 370296057837056. Its totient is φ = 44104741380000.

The previous prime is 132314224140107. The next prime is 132314224140193. The reversal of 132314224140144 is 441041422413231.

132314224140144 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 4 + 2 + 241 + 401 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132314224140099 and 132314224140108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459424389232 + ... + 459424389519.

Almost surely, 2132314224140144 is an apocalyptic number.

It is an amenable number.

132314224140144 is an abundant number, since it is smaller than the sum of its proper divisors (237981833696912).

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

132314224140144 is a wasteful number, since it uses less digits than its factorization.

132314224140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918848778765 (or 918848778756 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 132314224140144 its reverse (441041422413231), we get a palindrome (573355646553375).

The spelling of 132314224140144 in words is "one hundred thirty-two trillion, three hundred fourteen billion, two hundred twenty-four million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 918848778751 1837697557502 2756546336253 3675395115004 5513092672506 7350790230008 8269639008759 11026185345012 14701580460016 16539278017518 22052370690024 33078556035036 44104741380048 66157112070072 132314224140144