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1404020124224 = 26171290459673
BaseRepresentation
bin10100011011100110000…
…111101110101001000000
311222020000120120021011122
4110123212013232221000
5141000413122433344
62552555315531412
7203302633100564
oct24334607565100
94866016507148
101404020124224
114a1494837103
121a81375b9b68
13a25247533c3
144bd524bb6a4
15267c605caee
hex146e61eea40

1404020124224 has 28 divisors (see below), whose sum is σ = 2949990814764. Its totient is φ = 660715352064.

The previous prime is 1404020124137. The next prime is 1404020124233. The reversal of 1404020124224 is 4224210204041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 502340737600 + 901679386624 = 708760^2 + 949568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1404020124193 and 1404020124202.

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, 645228749 + ... + 645230924.

It is an arithmetic number, because the mean of its divisors is an integer number (105356814813).

Almost surely, 21404020124224 is an apocalyptic number.

It is an amenable number.

1404020124224 is an abundant number, since it is smaller than the sum of its proper divisors (1545970690540).

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

1404020124224 is a wasteful number, since it uses less digits than its factorization.

1404020124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290459702 (or 1290459692 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 1404020124224 its reverse (4224210204041), we get a palindrome (5628230328265).

The spelling of 1404020124224 in words is "one trillion, four hundred four billion, twenty million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1290459673 2580919346 5161838692 10323677384 20647354768 21937814441 41294709536 43875628882 82589419072 87751257764 175502515528 351005031056 702010062112 1404020124224