Search a number
-
+
140546454048 = 253471113192851
BaseRepresentation
bin1000001011100100111…
…0001011001000100000
3111102202220221121210000
42002321032023020200
54300314343012143
6144322142140000
713103605101540
oct2027116131040
9442686847700
10140546454048
115467289a160
12232a4881600
131033ab604a0
146b34037320
1539c8bb3bd3
hex20b938b220

140546454048 has 960 divisors, whose sum is σ = 584392596480. Its totient is φ = 31912704000.

The previous prime is 140546453951. The next prime is 140546454053. The reversal of 140546454048 is 840454645041.

140546454048 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 4 + 64 + 540 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 140546453994 and 140546454012.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49295823 + ... + 49298673.

It is an arithmetic number, because the mean of its divisors is an integer number (608742288).

Almost surely, 2140546454048 is an apocalyptic number.

140546454048 is a gapful number since it is divisible by the number (18) 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 140546454048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292196298240).

140546454048 is an abundant number, since it is smaller than the sum of its proper divisors (443846142432).

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

140546454048 is a wasteful number, since it uses less digits than its factorization.

140546454048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 140546454048 in words is "one hundred forty billion, five hundred forty-six million, four hundred fifty-four thousand, forty-eight".