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2424441104020 = 2251329321543913
BaseRepresentation
bin100011010001111011111…
…100110110011010010100
322120202220110122221121201
4203101323330312122110
5304210223410312040
65053434534522244
7340105624235065
oct43217374663224
98522813587551
102424441104020
11855221886401
12331a58506384
131478156a2530
14854b4ab256c
15430ea499a9a
hex2347bf36694

2424441104020 has 48 divisors (see below), whose sum is σ = 5672034642960. Its totient is φ = 864310035456.

The previous prime is 2424441103999. The next prime is 2424441104023. The reversal of 2424441104020 is 204011444242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 318651218064 + 2105789885956 = 564492^2 + 1451134^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2424441104020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424441104023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160764417 + ... + 160779496.

It is an arithmetic number, because the mean of its divisors is an integer number (118167388395).

Almost surely, 22424441104020 is an apocalyptic number.

2424441104020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424441104020 is an abundant number, since it is smaller than the sum of its proper divisors (3247593538940).

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

2424441104020 is a wasteful number, since it uses less digits than its factorization.

2424441104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321543964 (or 321543962 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2424441104020 its reverse (204011444242), we get a palindrome (2628452548262).

The spelling of 2424441104020 in words is "two trillion, four hundred twenty-four billion, four hundred forty-one million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 321543913 643087826 1286175652 1607719565 3215439130 4180070869 6430878260 8360141738 9324773477 16720283476 18649546954 20900354345 37299093908 41800708690 46623867385 83601417380 93247734770 121222055201 186495469540 242444110402 484888220804 606110276005 1212220552010 2424441104020