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440124421044 = 2237118314094073
BaseRepresentation
bin1100110011110010111…
…01011011001110110100
31120002001000202011002010
412121321131123032310
524202333322433134
6534105041444220
743540456565250
oct6317135331664
91502030664063
10440124421044
1115a723841850
1271370940670
1332671404c09
14174330bb260
15b6ae2aace9
hex667975b3b4

440124421044 has 192 divisors, whose sum is σ = 1297026017280. Its totient is φ = 112832839680.

The previous prime is 440124421031. The next prime is 440124421069.

440124421044 is nontrivially palindromic in base 10.

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 63 ways as a sum of consecutive naturals, for example, 108056992 + ... + 108061064.

It is an arithmetic number, because the mean of its divisors is an integer number (6755343840).

Almost surely, 2440124421044 is an apocalyptic number.

440124421044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440124421044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648513008640).

440124421044 is an abundant number, since it is smaller than the sum of its proper divisors (856901596236).

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

440124421044 is a wasteful number, since it uses less digits than its factorization.

440124421044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 440124 and 421044, that added together give a palindrome (861168).

The spelling of 440124421044 in words is "four hundred forty billion, one hundred twenty-four million, four hundred twenty-one thousand, forty-four".