Search a number
-
+
441112104120 = 233537144768659
BaseRepresentation
bin1100110101101000101…
…01001000110010111000
31120011120212020122112210
412122310111020302320
524211344144312440
6534351043135120
743604112006612
oct6326425106270
91504525218483
10441112104120
11160090312756
12715a76744a0
133279ac1ba7c
14174c833ddb2
15b71ad57a80
hex66b4548cb8

441112104120 has 128 divisors (see below), whose sum is σ = 1360061222400. Its totient is φ = 114369947136.

The previous prime is 441112104101. The next prime is 441112104133. The reversal of 441112104120 is 21401211144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6390351 + ... + 6459009.

It is an arithmetic number, because the mean of its divisors is an integer number (10625478300).

Almost surely, 2441112104120 is an apocalyptic number.

441112104120 is a gapful number since it is divisible by the number (40) 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 441112104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680030611200).

441112104120 is an abundant number, since it is smaller than the sum of its proper divisors (918949118280).

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

441112104120 is a wasteful number, since it uses less digits than its factorization.

441112104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70157 (or 70153 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 441112104120 its reverse (21401211144), we get a palindrome (462513315264).

The spelling of 441112104120 in words is "four hundred forty-one billion, one hundred twelve million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1447 1480 2220 2894 4341 4440 5788 7235 8682 11576 14470 17364 21705 28940 34728 43410 53539 57880 68659 86820 107078 137318 160617 173640 205977 214156 267695 274636 321234 343295 411954 428312 535390 549272 642468 686590 803085 823908 1029885 1070780 1284936 1373180 1606170 1647816 2059770 2141560 2540383 2746360 3212340 4119540 5080766 6424680 7621149 8239080 10161532 12701915 15242298 20323064 25403830 30484596 38105745 50807660 60969192 76211490 99349573 101615320 152422980 198699146 298048719 304845960 397398292 496747865 596097438 794796584 993495730 1192194876 1490243595 1986991460 2384389752 2980487190 3675934201 3973982920 5960974380 7351868402 11027802603 11921948760 14703736804 18379671005 22055605206 29407473608 36759342010 44111210412 55139013015 73518684020 88222420824 110278026030 147037368040 220556052060 441112104120