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140585252809 = 211217772
BaseRepresentation
bin1000001011101110001…
…0001011011111001001
3111102212121221210200011
42002323202023133021
54300404311042214
6144330045511521
713104555634501
oct2027342133711
9442777853604
10140585252809
115469278a251
12232b58725a1
1310345bc6331
146b39256a01
1539cc2c9ac4
hex20bb88b7c9

140585252809 has 9 divisors (see below), whose sum is σ = 141334226631. Its totient is φ = 139840233120.

The previous prime is 140585252761. The next prime is 140585252837. The reversal of 140585252809 is 908252585041.

The square root of 140585252809 is 374947.

It is a perfect power (a square), and thus also a powerful number.

140585252809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 71243617225 + 69341635584 = 266915^2 + 263328^2 .

It is not a de Polignac number, because 140585252809 - 225 = 140551698377 is a prime.

It is a super-3 number, since 3×1405852528093 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140585252879) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 79112929 + ... + 79114705.

It is an arithmetic number, because the mean of its divisors is an integer number (15703802959).

Almost surely, 2140585252809 is an apocalyptic number.

140585252809 is the 374947-th square number.

140585252809 is the 187474-th centered octagonal number.

It is an amenable number.

140585252809 is a deficient number, since it is larger than the sum of its proper divisors (748973822).

140585252809 is an frugal number, since it uses more digits than its factorization.

140585252809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 49.

Multiplying 140585252809 by its sum of digits (49), we get a square (6888677387641 = 26246292).

The spelling of 140585252809 in words is "one hundred forty billion, five hundred eighty-five million, two hundred fifty-two thousand, eight hundred nine".

Divisors: 1 211 1777 44521 374947 3157729 79113817 666280819 140585252809