Search a number
-
+
1020144330024 = 23342506013751
BaseRepresentation
bin11101101100001010101…
…01110010010100101000
310121112011121112102022020
432312011111302110220
5113203223422030044
62100351533224440
7133463061506121
oct16660525622450
93545147472266
101020144330024
11363705974226
12145864332120
1375278838651
143753797d048
151b809ee1a19
hexed85572528

1020144330024 has 16 divisors (see below), whose sum is σ = 2550360825120. Its totient is φ = 340048110000.

The previous prime is 1020144329987. The next prime is 1020144330043. The reversal of 1020144330024 is 4200334410201.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 42506013751 = 1020144330024 / (1 + 0 + 2 + 0 + 1 + 4 + 4 + 3 + 3 + 0 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 1020144329976 and 1020144330003.

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 3 ways as a sum of consecutive naturals, for example, 21253006852 + ... + 21253006899.

It is an arithmetic number, because the mean of its divisors is an integer number (159397551570).

Almost surely, 21020144330024 is an apocalyptic number.

It is an amenable number.

1020144330024 is an abundant number, since it is smaller than the sum of its proper divisors (1530216495096).

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

1020144330024 is a wasteful number, since it uses less digits than its factorization.

1020144330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42506013760 (or 42506013756 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1020144330024 its reverse (4200334410201), we get a palindrome (5220478740225).

The spelling of 1020144330024 in words is "one trillion, twenty billion, one hundred forty-four million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 42506013751 85012027502 127518041253 170024055004 255036082506 340048110008 510072165012 1020144330024