Search a number
-
+
2144013210020 = 2251113771135143
BaseRepresentation
bin11111001100110001001…
…001010101000110100100
321120222001222002220220102
4133030301021111012210
5240111414340210040
64320540203523232
7310620434410103
oct37146111250644
97528058086812
102144013210020
117572a8621020
122a7635829518
131272446c1746
1475ab10b003a
153ab861d3515
hex1f3312551a4

2144013210020 has 48 divisors (see below), whose sum is σ = 4947591535488. Its totient is φ = 773950344960.

The previous prime is 2144013210007. The next prime is 2144013210107. The reversal of 2144013210020 is 200123104412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2144013209974 and 2144013210001.

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 15 ways as a sum of consecutive naturals, for example, 35537432 + ... + 35597711.

It is an arithmetic number, because the mean of its divisors is an integer number (103074823656).

Almost surely, 22144013210020 is an apocalyptic number.

2144013210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144013210020 is an abundant number, since it is smaller than the sum of its proper divisors (2803578325468).

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

2144013210020 is a wasteful number, since it uses less digits than its factorization.

2144013210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71135300 (or 71135298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2144013210020 its reverse (200123104412), we get a palindrome (2344136314432).

The spelling of 2144013210020 in words is "two trillion, one hundred forty-four billion, thirteen million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 15070 30140 71135143 142270286 284540572 355675715 711351430 782486573 1422702860 1564973146 3129946292 3912432865 7824865730 9745514591 15649731460 19491029182 38982058364 48727572955 97455145910 107200660501 194910291820 214401321002 428802642004 536003302505 1072006605010 2144013210020