Search a number
-
+
144316560060 = 22335267252889
BaseRepresentation
bin1000011001100111101…
…1111111001010111100
3111210111200001211222000
42012121323333022330
54331030014410220
6150144220422300
713266204343341
oct2063173771274
9453450054860
10144316560060
1156227a32652
1223b773a7990
13107bbc5bc4a
146db0a267c8
153b49b77390
hex2199eff2bc

144316560060 has 48 divisors (see below), whose sum is σ = 448984855200. Its totient is φ = 38484415872.

The previous prime is 144316560013. The next prime is 144316560077. The reversal of 144316560060 is 60065613441.

It is a happy number.

144316560060 is a `hidden beast` number, since 1 + 4 + 4 + 31 + 6 + 560 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144316559997 and 144316560024.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 133625905 + ... + 133626984.

It is an arithmetic number, because the mean of its divisors is an integer number (9353851150).

Almost surely, 2144316560060 is an apocalyptic number.

144316560060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144316560060 is an abundant number, since it is smaller than the sum of its proper divisors (304668295140).

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

144316560060 is a wasteful number, since it uses less digits than its factorization.

144316560060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267252907 (or 267252899 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 144316560060 in words is "one hundred forty-four billion, three hundred sixteen million, five hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 267252889 534505778 801758667 1069011556 1336264445 1603517334 2405276001 2672528890 3207034668 4008793335 4810552002 5345057780 7215828003 8017586670 9621104004 12026380005 14431656006 16035173340 24052760010 28863312012 36079140015 48105520020 72158280030 144316560060