Search a number
-
+
132488084040000 = 2635413223284041
BaseRepresentation
bin11110000111111101001001…
…001011111010100101000000
3122101002201220101002100211120
4132013331021023322211000
5114331141044003240000
61145440104025512240
736622643142123063
oct3607751113724500
9571081811070746
10132488084040000
113923a976535387
1212a390b3342680
1358c075a348a00
1424a065948c8da
15104b4bbed96a0
hex787f492fa940

132488084040000 has 840 divisors, whose sum is σ = 494948075067072. Its totient is φ = 31194408960000.

The previous prime is 132488084039989. The next prime is 132488084040049. The reversal of 132488084040000 is 40480884231.

132488084040000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 466297980 + ... + 466582020.

Almost surely, 2132488084040000 is an apocalyptic number.

132488084040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132488084040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247474037533536).

132488084040000 is an abundant number, since it is smaller than the sum of its proper divisors (362459991027072).

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

132488084040000 is a wasteful number, since it uses less digits than its factorization.

132488084040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284125 (or 284087 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 132488084040000 in words is "one hundred thirty-two trillion, four hundred eighty-eight billion, eighty-four million, forty thousand".