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441024113420 = 22511317219949
BaseRepresentation
bin1100110101011110001…
…01011110101100001100
31120011100201200020222222
412122233011132230030
524211204133112140
6534334221154512
743601663053142
oct6325705365414
91504321606888
10441024113420
11160045683a70
12715820bba38
1332785921577
14174ba797592
15b7132765b5
hex66af15eb0c

441024113420 has 72 divisors (see below), whose sum is σ = 1013594223600. Its totient is φ = 159858484480.

The previous prime is 441024113377. The next prime is 441024113423. The reversal of 441024113420 is 24311420144.

It is a self number, because there is not a number n which added to its sum of digits gives 441024113420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441024113423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22097606 + ... + 22117554.

It is an arithmetic number, because the mean of its divisors is an integer number (14077697550).

Almost surely, 2441024113420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441024113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506797111800).

441024113420 is an abundant number, since it is smaller than the sum of its proper divisors (572570110180).

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

441024113420 is a wasteful number, since it uses less digits than its factorization.

441024113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20603 (or 20284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 441024113420 its reverse (24311420144), we get a palindrome (465335533564).

The spelling of 441024113420 in words is "four hundred forty-one billion, twenty-four million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 317 634 1268 1585 3170 3487 6340 6974 13948 17435 19949 34870 39898 69740 79796 99745 100489 199490 200978 219439 398980 401956 438878 502445 877756 1004890 1097195 1105379 2009780 2194390 2210758 4388780 4421516 5526895 6323833 11053790 12647666 22107580 25295332 31619165 63238330 69562163 126476660 139124326 278248652 347810815 695621630 1391243260 2004655061 4009310122 8018620244 10023275305 20046550610 22051205671 40093101220 44102411342 88204822684 110256028355 220512056710 441024113420