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144640456315065 = 345734892286701
BaseRepresentation
bin100000111000110010111011…
…000001001101000010111001
3200222010111022002111001010000
4200320302323001031002321
5122424242123304040230
61231342524110343213
742315633226121514
oct4070627301150271
9628114262431100
10144640456315065
11420a5744903737
12142803581bab09
1362926c89170a9
1427a08c7901d7b
1511ac66bdd5b60
hex838cbb04d0b9

144640456315065 has 40 divisors (see below), whose sum is σ = 262833210778248. Its totient is φ = 76084842758400.

The previous prime is 144640456315049. The next prime is 144640456315079. The reversal of 144640456315065 is 560513654046441.

144640456315065 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 4 + 0 + 4 + 563 + 15 + 0 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8115182848656 + 136525273466409 = 2848716^2 + 11684403^2 .

It is not a de Polignac number, because 144640456315065 - 24 = 144640456315049 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2446113786 + ... + 2446172915.

Almost surely, 2144640456315065 is an apocalyptic number.

144640456315065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144640456315065 is a deficient number, since it is larger than the sum of its proper divisors (118192754463183).

144640456315065 is an equidigital number, since it uses as much as digits as its factorization.

144640456315065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892286791 (or 4892286782 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 144640456315065 in words is "one hundred forty-four trillion, six hundred forty billion, four hundred fifty-six million, three hundred fifteen thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 73 81 135 219 365 405 657 1095 1971 3285 5913 9855 29565 4892286701 14676860103 24461433505 44030580309 73384300515 132091740927 220152901545 357136929173 396275222781 660458704635 1071410787519 1785684645865 1981376113905 3214232362557 5357053937595 9642697087671 16071161812785 28928091263013 48213485438355 144640456315065