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145440655054065 = 325719106703227743
BaseRepresentation
bin100001000100011100001010…
…100101001001010011110001
3201001221222202022120202202100
4201010130022211021103301
5123030344430143212230
61233154303050411013
742430512005146530
oct4104341245112361
9631858668522670
10145440655054065
1142384043169a38
121438b459130a69
13631ccc1ac8ab7
1427cb5183dc317
1511c33a2883660
hex84470a9494f1

145440655054065 has 96 divisors (see below), whose sum is σ = 303278923284480. Its totient is φ = 62986965683328.

The previous prime is 145440655054039. The next prime is 145440655054087. The reversal of 145440655054065 is 560450556044541.

It is a happy number.

145440655054065 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 40 + 6 + 5 + 50 + 540 + 6 + 5 = 666.

It is not a de Polignac number, because 145440655054065 - 25 = 145440655054033 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 638503584 + ... + 638731326.

It is an arithmetic number, because the mean of its divisors is an integer number (3159155450880).

Almost surely, 2145440655054065 is an apocalyptic number.

145440655054065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145440655054065 is an abundant number, since it is smaller than the sum of its proper divisors (157838268230415).

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

145440655054065 is a wasteful number, since it uses less digits than its factorization.

145440655054065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334483 (or 334480 counting only the distinct ones).

The product of its (nonzero) digits is 28800000, while the sum is 54.

The spelling of 145440655054065 in words is "one hundred forty-five trillion, four hundred forty billion, six hundred fifty-five million, fifty-four thousand, sixty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 106703 227743 320109 533515 683229 746921 960327 1138715 1594201 1600545 2027357 2049687 2240763 3416145 3734605 4327117 4782603 4801635 6082071 6722289 7971005 10136785 10248435 11203815 12981351 14191499 14347809 18246213 21635585 23913015 30289819 30410355 33611445 38944053 42574497 64906755 70957495 71739045 90869457 91231065 127723491 151449095 194720265 212872485 272608371 454347285 638617455 1363041855 24300861329 72902583987 121504306645 170106029303 218707751961 364512919935 461716365251 510318087909 850530146515 1093538759805 1385149095753 1530954263727 2308581826255 2551590439545 3232014556757 4155447287259 6925745478765 7654771318635 9696043670271 16160072783785 20777236436295 29088131010813 48480218351355 145440655054065