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140549260201 = 7610932
BaseRepresentation
bin1000001011100101100…
…0111000001110101001
3111102210010020012002121
42002321120320032221
54300321102311301
6144322322231241
713103641000000
oct2027130701651
9442703205077
10140549260201
1154674436499
12232a57b5521
131033b60382c
146b34567c37
1539c906a3a1
hex20b96383a9

140549260201 has 21 divisors (see below), whose sum is σ = 164124096951. Its totient is φ = 120360574152.

The previous prime is 140549260183. The next prime is 140549260259. The reversal of 140549260201 is 102062945041.

The square root of 140549260201 is 374899.

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

It can be written as a sum of positive squares in only one way, i.e., 138499344025 + 2049916176 = 372155^2 + 45276^2 .

It is not a de Polignac number, because 140549260201 - 215 = 140549227433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140549263201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 128589811 + ... + 128590903.

Almost surely, 2140549260201 is an apocalyptic number.

140549260201 is the 374899-th square number.

140549260201 is the 187450-th centered octagonal number.

It is an amenable number.

140549260201 is a deficient number, since it is larger than the sum of its proper divisors (23574836750).

140549260201 is an frugal number, since it uses more digits than its factorization.

140549260201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 140549260201 in words is "one hundred forty billion, five hundred forty-nine million, two hundred sixty thousand, two hundred one".

Divisors: 1 7 49 343 1093 2401 7651 16807 53557 117649 374899 1194649 2624293 8362543 18370051 58537801 128590357 409764607 2868352249 20078465743 140549260201