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140861270880 = 253251122938833
BaseRepresentation
bin1000001100101111111…
…1000110101101100000
3111110120212022222021200
42003023333012231200
54301440441132010
6144413305521200
713114450022061
oct2031377065540
9443525288250
10140861270880
1154814573760
12233721a3200
131038b148435
146b63b86568
1539e664ccc0
hex20cbfc6b60

140861270880 has 288 divisors, whose sum is σ = 526691561760. Its totient is φ = 33998192640.

The previous prime is 140861270867. The next prime is 140861270897. The reversal of 140861270880 is 88072168041.

140861270880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3607944 + ... + 3646776.

It is an arithmetic number, because the mean of its divisors is an integer number (1828790145).

Almost surely, 2140861270880 is an apocalyptic number.

140861270880 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 140861270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263345780880).

140861270880 is an abundant number, since it is smaller than the sum of its proper divisors (385830290880).

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

140861270880 is a wasteful number, since it uses less digits than its factorization.

140861270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39094 (or 39083 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 140861270880 in words is "one hundred forty billion, eight hundred sixty-one million, two hundred seventy thousand, eight hundred eighty".