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441032103424 = 2911187341809
BaseRepresentation
bin1100110101011111000…
…11111101011000000000
31120011101021201012020001
412122233203331120000
524211213204302144
6534335104325344
743602121011463
oct6325743753000
91504337635201
10441032103424
1116004a140a80
1271584913854
133278748b293
14174bb8772da
15b713d03bd4
hex66af8fd600

441032103424 has 80 divisors (see below), whose sum is σ = 961848415440. Its totient is φ = 200357314560.

The previous prime is 441032103403. The next prime is 441032103427. The reversal of 441032103424 is 424301230144.

It is a junction number, because it is equal to n+sod(n) for n = 441032103392 and 441032103401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441032103427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10527832 + ... + 10569640.

It is an arithmetic number, because the mean of its divisors is an integer number (12023105193).

Almost surely, 2441032103424 is an apocalyptic number.

441032103424 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 441032103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480924207720).

441032103424 is an abundant number, since it is smaller than the sum of its proper divisors (520816312016).

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

441032103424 is a wasteful number, since it uses less digits than its factorization.

441032103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43711 (or 43695 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 441032103424 its reverse (424301230144), we get a palindrome (865333333568).

The spelling of 441032103424 in words is "four hundred forty-one billion, thirty-two million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 1873 2816 3746 5632 7492 14984 20603 29968 41206 41809 59936 82412 83618 119872 164824 167236 239744 329648 334472 459899 479488 659296 668944 919798 958976 1318592 1337888 1839596 2637184 2675776 3679192 5274368 5351552 7358384 10548736 10703104 14716768 21406208 29433536 58867072 78308257 117734144 156616514 235468288 313233028 626466056 861390827 1252932112 1722781654 2505864224 3445563308 5011728448 6891126616 10023456896 13782253232 20046913792 27564506464 40093827584 55129012928 110258025856 220516051712 441032103424