Search a number
-
+
140082351120 = 243253167283331
BaseRepresentation
bin1000001001110110001…
…1110000110000010000
3111101120120122202020200
42002131203300300100
54243342040213440
6144204122535200
713056241224015
oct2023543606020
9441516582220
10140082351120
1154454920818
1223195367500
131029596657a
146acc54770c
15399d08bc30
hex209d8f0c10

140082351120 has 480 divisors, whose sum is σ = 496102723584. Its totient is φ = 35377689600.

The previous prime is 140082351109. The next prime is 140082351121. The reversal of 140082351120 is 21153280041.

140082351120 is a `hidden beast` number, since 1 + 400 + 8 + 235 + 1 + 1 + 20 = 666.

140082351120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140082351121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423209355 + ... + 423209685.

Almost surely, 2140082351120 is an apocalyptic number.

140082351120 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 140082351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248051361792).

140082351120 is an abundant number, since it is smaller than the sum of its proper divisors (356020372464).

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

140082351120 is a wasteful number, since it uses less digits than its factorization.

140082351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 140082351120 in words is "one hundred forty billion, eighty-two million, three hundred fifty-one thousand, one hundred twenty".