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140532594048 = 273271115710091
BaseRepresentation
bin1000001011100001100…
…1010011010110000000
3111102201221212110102200
42002320121103112000
54300302321002143
6144320525113200
713103346224430
oct2027031232600
9442657773380
10140532594048
1154665a92a10
12232a00b8800
13103380199c2
146b3226a2c0
1539c78771d3
hex20b8653580

140532594048 has 384 divisors, whose sum is σ = 507445136640. Its totient is φ = 36265881600.

The previous prime is 140532594031. The next prime is 140532594049. The reversal of 140532594048 is 840495235041.

140532594048 is a `hidden beast` number, since 1 + 4 + 0 + 53 + 2 + 594 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 140532593994 and 140532594012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140532594049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13921483 + ... + 13931573.

It is an arithmetic number, because the mean of its divisors is an integer number (1321471710).

Almost surely, 2140532594048 is an apocalyptic number.

140532594048 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 140532594048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253722568320).

140532594048 is an abundant number, since it is smaller than the sum of its proper divisors (366912542592).

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

140532594048 is a wasteful number, since it uses less digits than its factorization.

140532594048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10271 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 140532594048 in words is "one hundred forty billion, five hundred thirty-two million, five hundred ninety-four thousand, forty-eight".