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42144254001255 = 35719131161259079
BaseRepresentation
bin10011001010100011110010…
…10010100000000001100111
312112012221200112010101200210
421211101321102200001213
521010442413011020010
6225344445241110503
711606551621243110
oct1145217122400147
9175187615111623
1042144254001255
111247930675a10a
124887a09488433
131a69255b26213
14a59b15549207
154d1407115b20
hex2654794a0067

42144254001255 has 64 divisors (see below), whose sum is σ = 81739002470400. Its totient is φ = 18112619640960.

The previous prime is 42144254001211. The next prime is 42144254001259. The reversal of 42144254001255 is 55210045244124.

It is not a de Polignac number, because 42144254001255 - 27 = 42144254001127 is a prime.

It is a super-2 number, since 2×421442540012552 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144254001259) 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 63 ways as a sum of consecutive naturals, for example, 80368195 + ... + 80890884.

It is an arithmetic number, because the mean of its divisors is an integer number (1277171913600).

Almost surely, 242144254001255 is an apocalyptic number.

42144254001255 is a deficient number, since it is larger than the sum of its proper divisors (39594748469145).

42144254001255 is a wasteful number, since it uses less digits than its factorization.

42144254001255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161259244.

The product of its (nonzero) digits is 256000, while the sum is 39.

Adding to 42144254001255 its reverse (55210045244124), we get a palindrome (97354299245379).

The spelling of 42144254001255 in words is "forty-two trillion, one hundred forty-four billion, two hundred fifty-four million, one thousand, two hundred fifty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 131 133 285 393 399 655 665 917 1965 1995 2489 2751 4585 7467 12445 13755 17423 37335 52269 87115 261345 161259079 483777237 806295395 1128813553 2418886185 3063922501 3386440659 5644067765 9191767503 15319612505 16932203295 21124939349 21447457507 45958837515 63374818047 64342372521 105624696745 107237287535 147874575443 316874090235 321711862605 401373847631 443623726329 739372877215 1204121542893 2006869238155 2218118631645 2809616933417 6020607714465 8428850800251 14048084667085 42144254001255