Search a number
-
+
144606406065 = 35112375936497
BaseRepresentation
bin1000011010101100110…
…1101010010110110001
3111211020212110112221020
42012223031222112301
54332123214443230
6150233053050053
713306324112412
oct2065315522661
9454225415836
10144606406065
1156366601200
1224038486929
1310837013064
146ddb315809
153b6532c810
hex21ab36a5b1

144606406065 has 96 divisors (see below), whose sum is σ = 265623684480. Its totient is φ = 67059210240.

The previous prime is 144606406057. The next prime is 144606406093. The reversal of 144606406065 is 560604606441.

144606406065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144606406065 - 23 = 144606406057 is a prime.

It is a super-2 number, since 2×1446064060652 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 3943897 + ... + 3980393.

It is an arithmetic number, because the mean of its divisors is an integer number (2766913380).

Almost surely, 2144606406065 is an apocalyptic number.

144606406065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144606406065 is a deficient number, since it is larger than the sum of its proper divisors (121017278415).

144606406065 is a wasteful number, since it uses less digits than its factorization.

144606406065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36623 (or 36612 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 144606406065 in words is "one hundred forty-four billion, six hundred six million, four hundred six thousand, sixty-five".

Divisors: 1 3 5 11 15 33 37 55 59 111 121 165 177 185 295 363 407 555 605 649 885 1221 1815 1947 2035 2183 3245 4477 6105 6549 7139 9735 10915 13431 21417 22385 24013 32745 35695 36497 67155 72039 107085 109491 120065 182485 264143 360195 401467 547455 792429 1204401 1320715 1350389 2007335 2153323 3962145 4051167 4416137 6022005 6459969 6751945 10766615 13248411 14854279 20255835 22080685 23686553 32299845 44562837 66242055 71059659 74271395 79672951 118432765 163397069 222814185 239018853 260552083 355298295 398364755 490191207 781656249 816985345 876402461 1195094265 1302760415 2450956035 2629207383 3908281245 4382012305 9640427071 13146036915 28921281213 48202135355 144606406065