Search a number
-
+
144458688114666 = 23217472087216061
BaseRepresentation
bin100000110110001001101000…
…110010100010111111101010
3200221111010010100112201220200
4200312021220302202333222
5122413302343124132131
61231123223303133030
742266536646656302
oct4066115062427752
9627433110481820
10144458688114666
1142035649457412
121425108a444176
13627b51b867923
142795ba2d4a602
1511a7a7e3562e6
hex836268ca2fea

144458688114666 has 24 divisors (see below), whose sum is σ = 331405225675524. Its totient is φ = 45320372741760.

The previous prime is 144458688114619. The next prime is 144458688114691. The reversal of 144458688114666 is 666411886854441.

It can be written as a sum of positive squares in 2 ways, for example, as 142195393534041 + 2263294580625 = 11924571^2 + 1504425^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144458688114594 and 144458688114603.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 236043607725 + ... + 236043608336.

Almost surely, 2144458688114666 is an apocalyptic number.

144458688114666 is an abundant number, since it is smaller than the sum of its proper divisors (186946537560858).

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

144458688114666 is a wasteful number, since it uses less digits than its factorization.

144458688114666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472087216086 (or 472087216083 counting only the distinct ones).

The product of its digits is 849346560, while the sum is 72.

The spelling of 144458688114666 in words is "one hundred forty-four trillion, four hundred fifty-eight billion, six hundred eighty-eight million, one hundred fourteen thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 472087216061 944174432122 1416261648183 2832523296366 4248784944549 8025482673037 8497569889098 16050965346074 24076448019111 48152896038222 72229344057333 144458688114666