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144444310010 = 257111314430001
BaseRepresentation
bin1000011010000110001…
…1010100000111111010
3111210211120110012221122
42012201203110013322
54331310220410020
6150205022505242
713302315243230
oct2064143240772
9453746405848
10144444310010
1156293058020
1223bb2135222
131080c56a530
146dc399c950
153b55eae125
hex21a18d41fa

144444310010 has 64 divisors (see below), whose sum is σ = 349090608384. Its totient is φ = 41558400000.

The previous prime is 144444310009. The next prime is 144444310079. The reversal of 144444310010 is 10013444441.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 7204991 + ... + 7225010.

It is an arithmetic number, because the mean of its divisors is an integer number (5454540756).

Almost surely, 2144444310010 is an apocalyptic number.

144444310010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144444310010 is an abundant number, since it is smaller than the sum of its proper divisors (204646298374).

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

144444310010 is a wasteful number, since it uses less digits than its factorization.

144444310010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14430039.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144444310010 its reverse (10013444441), we get a palindrome (154457754451).

It can be divided in two parts, 144444 and 310010, that added together give a palindrome (454454).

The spelling of 144444310010 in words is "one hundred forty-four billion, four hundred forty-four million, three hundred ten thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 14430001 28860002 72150005 101010007 144300010 158730011 187590013 202020014 317460022 375180026 505050035 793650055 937950065 1010100070 1111110077 1313130091 1587300110 1875900130 2063490143 2222220154 2626260182 4126980286 5555550385 6565650455 10317450715 11111100770 13131300910 14444431001 20634901430 28888862002 72222155005 144444310010