Search a number
-
+
144103320020 = 225112328478917
BaseRepresentation
bin1000011000110100111…
…0100010100111010100
3111202221210211010121202
42012031032202213110
54330110422220040
6150111122132032
713261005003302
oct2061516424724
9452853733552
10144103320020
1156128627210
1223b17ab1018
1310786a1a3ca
146d90599272
153b360a5015
hex218d3a29d4

144103320020 has 48 divisors (see below), whose sum is σ = 344480992128. Its totient is φ = 50122892160.

The previous prime is 144103320017. The next prime is 144103320037. The reversal of 144103320020 is 20023301441.

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 = 144103319974 and 144103320001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14234399 + ... + 14244518.

It is an arithmetic number, because the mean of its divisors is an integer number (7176687336).

Almost surely, 2144103320020 is an apocalyptic number.

144103320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144103320020 is an abundant number, since it is smaller than the sum of its proper divisors (200377672108).

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

144103320020 is a wasteful number, since it uses less digits than its factorization.

144103320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28478960 (or 28478958 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 144103320020 its reverse (20023301441), we get a palindrome (164126621461).

The spelling of 144103320020 in words is "one hundred forty-four billion, one hundred three million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 28478917 56957834 113915668 142394585 284789170 313268087 569578340 626536174 655015091 1253072348 1310030182 1566340435 2620060364 3132680870 3275075455 6265361740 6550150910 7205166001 13100301820 14410332002 28820664004 36025830005 72051660010 144103320020