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440131121430 = 2357111316099109
BaseRepresentation
bin1100110011110011101…
…10111111000100010110
31120002001111100120021120
412121321312333010112
524202342031341210
6534105441224410
743540600543020
oct6317166770426
91502044316246
10440131121430
1115a7275a8960
1271373032106
133267290c940
1417433d43010
15b6aeb81270
hex6679dbf116

440131121430 has 256 divisors, whose sum is σ = 1419305932800. Its totient is φ = 84359024640.

The previous prime is 440131121407. The next prime is 440131121447. The reversal of 440131121430 is 34121131044.

It is a self number, because there is not a number n which added to its sum of digits gives 440131121430.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 48313716 + ... + 48322824.

It is an arithmetic number, because the mean of its divisors is an integer number (5544163800).

Almost surely, 2440131121430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440131121430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709652966400).

440131121430 is an abundant number, since it is smaller than the sum of its proper divisors (979174811370).

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

440131121430 is a wasteful number, since it uses less digits than its factorization.

440131121430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 440131121430 its reverse (34121131044), we get a palindrome (474252252474).

The spelling of 440131121430 in words is "four hundred forty billion, one hundred thirty-one million, one hundred twenty-one thousand, four hundred thirty".