Search a number
-
+
144446315020252 = 22767668211152287
BaseRepresentation
bin100000110101111110000111…
…010010111011111111011100
3200221102221012001101102020121
4200311332013102323333130
5122413102023121122002
61231113415424524324
742265621225260610
oct4065760722737734
9627387161342217
10144446315020252
114203037a137453
121424a7b67806a4
13627a2c932219b
14279534b96d340
1511a75a7e89237
hex835f874bbfdc

144446315020252 has 48 divisors (see below), whose sum is σ = 293209102706688. Its totient is φ = 60980634411840.

The previous prime is 144446315020247. The next prime is 144446315020291. The reversal of 144446315020252 is 252020513644441.

144446315020252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144446315020199 and 144446315020208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124780053 + ... + 125932339.

It is an arithmetic number, because the mean of its divisors is an integer number (6108522973056).

Almost surely, 2144446315020252 is an apocalyptic number.

It is an amenable number.

144446315020252 is an abundant number, since it is smaller than the sum of its proper divisors (148762787686436).

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

144446315020252 is a wasteful number, since it uses less digits than its factorization.

144446315020252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219186 (or 1219184 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 43.

Adding to 144446315020252 its reverse (252020513644441), we get a palindrome (396466828664693).

The spelling of 144446315020252 in words is "one hundred forty-four trillion, four hundred forty-six billion, three hundred fifteen million, twenty thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 67 134 268 469 938 1876 66821 133642 267284 467747 935494 1152287 1870988 2304574 4477007 4609148 8066009 8954014 16132018 17908028 31339049 32264036 62678098 77203229 125356196 154406458 308812916 540422603 1080845206 2161690412 76996969627 153993939254 307987878508 538978787389 1077957574778 2155915149556 5158796965009 10317593930018 20635187860036 36111578755063 72223157510126 144446315020252