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145206561141 = 33139156724691
BaseRepresentation
bin1000011100111011111…
…1000100100101110101
3111212210200202120221000
42013032333010211311
54334340334424031
6150412412313513
713330232255565
oct2071677044565
9455720676830
10145206561141
1156644355634
1224185472899
13109014643c5
147056cdcda5
153b9cd7b3e6
hex21cefc4975

145206561141 has 32 divisors (see below), whose sum is σ = 216815513600. Its totient is φ = 96042717360.

The previous prime is 145206561139. The next prime is 145206561179. The reversal of 145206561141 is 141165602541.

145206561141 is a `hidden beast` number, since 1 + 4 + 52 + 0 + 6 + 561 + 1 + 41 = 666.

It is not a de Polignac number, because 145206561141 - 21 = 145206561139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145206561096 and 145206561105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145206561121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5868606 + ... + 5893296.

It is an arithmetic number, because the mean of its divisors is an integer number (6775484800).

Almost surely, 2145206561141 is an apocalyptic number.

It is an amenable number.

145206561141 is a deficient number, since it is larger than the sum of its proper divisors (71608952459).

145206561141 is a wasteful number, since it uses less digits than its factorization.

145206561141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26406 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 145206561141 in words is "one hundred forty-five billion, two hundred six million, five hundred sixty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 139 417 1251 1567 3753 4701 14103 24691 42309 74073 217813 222219 653439 666657 1960317 3432049 5880951 10296147 30888441 38690797 92665323 116072391 348217173 1044651519 5378020783 16134062349 48402187047 145206561141