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2144023024 = 2411131098597
BaseRepresentation
bin111111111001011…
…0011000111110000
312112102100122200011
41333302303013300
513342332214044
6552425504304
7104062615663
oct17762630760
95472318604
102144023024
11a00277260
124ba042094
132822628a0
14164a696da
15c8361134
hex7fcb31f0

2144023024 has 80 divisors (see below), whose sum is σ = 4925622240. Its totient is φ = 891233280.

The previous prime is 2144023009. The next prime is 2144023033. The reversal of 2144023024 is 4203204412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2144022986 and 2144023004.

It is a congruent number.

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, 245094 + ... + 253690.

It is an arithmetic number, because the mean of its divisors is an integer number (61570278).

Almost surely, 22144023024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462811120).

2144023024 is an abundant number, since it is smaller than the sum of its proper divisors (2781599216).

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

2144023024 is a wasteful number, since it uses less digits than its factorization.

2144023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2144023024 is about 46303.5962318263. The cubic root of 2144023024 is about 1289.4657611945.

Adding to 2144023024 its reverse (4203204412), we get a palindrome (6347227436).

The spelling of 2144023024 in words is "two billion, one hundred forty-four million, twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 109 143 176 208 218 286 436 572 872 1144 1199 1417 1744 2288 2398 2834 4796 5668 8597 9592 11336 15587 17194 19184 22672 31174 34388 62348 68776 94567 111761 124696 137552 189134 223522 249392 378268 447044 756536 894088 937073 1229371 1513072 1788176 1874146 2458742 3748292 4917484 7496584 9834968 10307803 12181949 14993168 19669936 20615606 24363898 41231212 48727796 82462424 97455592 134001439 164924848 194911184 268002878 536005756 1072011512 2144023024