Search a number
-
+
144064050036555 = 35111502235812129
BaseRepresentation
bin100000110000011010000110…
…100001101111111101001011
3200220002101111100101012222110
4200300122012201233331023
5122340321133302132210
61230222035543353403
742226166313442515
oct4060320641577513
9626071440335873
10144064050036555
11419a324755a320
12141a86b2a52863
13625024905693c
142780a46d3abb5
15119c683555420
hex83068686ff4b

144064050036555 has 32 divisors (see below), whose sum is σ = 251458968130560. Its totient is φ = 69848759393280.

The previous prime is 144064050036539. The next prime is 144064050036559. The reversal of 144064050036555 is 555630050460441.

It is a happy number.

It is not a de Polignac number, because 144064050036555 - 24 = 144064050036539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144064050036559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21880731 + ... + 27692859.

It is an arithmetic number, because the mean of its divisors is an integer number (7858092754080).

Almost surely, 2144064050036555 is an apocalyptic number.

144064050036555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144064050036555 is a deficient number, since it is larger than the sum of its proper divisors (107394918094005).

144064050036555 is a wasteful number, since it uses less digits than its factorization.

144064050036555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962371.

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 144064050036555 in words is "one hundred forty-four trillion, sixty-four billion, fifty million, thirty-six thousand, five hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 165 150223 450669 751115 1652453 2253345 4957359 5812129 8262265 17436387 24786795 29060645 63933419 87181935 191800257 319667095 959001285 873115454767 2619346364301 4365577273835 9604270002437 13096731821505 28812810007311 48021350012185 144064050036555