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441001221040 = 24531374806029
BaseRepresentation
bin1100110101011011011…
…10001001101110110000
31120011022010121012120001
412122231232021232300
524211132303033130
6534332042355344
743601264346412
oct6325556115660
91504263535501
10441001221040
11160033768646
12715764bbb54
1332780c67793
14174b77189b2
15b7112536ca
hex66adb89bb0

441001221040 has 80 divisors (see below), whose sum is σ = 1087008641280. Its totient is φ = 166096327680.

The previous prime is 441001221019. The next prime is 441001221043. The reversal of 441001221040 is 40122100144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 441001220999 and 441001221017.

It is not an unprimeable number, because it can be changed into a prime (441001221043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311255 + ... + 2494774.

It is an arithmetic number, because the mean of its divisors is an integer number (13587608016).

Almost surely, 2441001221040 is an apocalyptic number.

441001221040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441001221040 is an abundant number, since it is smaller than the sum of its proper divisors (646007420240).

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

441001221040 is a wasteful number, since it uses less digits than its factorization.

441001221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806110 (or 4806104 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 441001221040 its reverse (40122100144), we get a palindrome (481123321184).

The spelling of 441001221040 in words is "four hundred forty-one billion, one million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 496 592 620 740 1147 1240 1480 2294 2480 2960 4588 5735 9176 11470 18352 22940 45880 91760 4806029 9612058 19224116 24030145 38448232 48060290 76896464 96120580 148986899 177823073 192241160 297973798 355646146 384482320 595947596 711292292 744934495 889115365 1191895192 1422584584 1489868990 1778230730 2383790384 2845169168 2979737980 3556461460 5512515263 5959475960 7112922920 11025030526 11918951920 14225845840 22050061052 27562576315 44100122104 55125152630 88200244208 110250305260 220500610520 441001221040