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441122200240 = 245171312475989
BaseRepresentation
bin1100110101101001110…
…11101001101010110000
31120011121120020120211011
412122310323221222300
524211404240401430
6534352043400304
743604263556431
oct6326473515260
91504546216734
10441122200240
11160095a89057
12715aab23094
13327a00452c7
14174c980b488
15b71bb9e22a
hex66b4ee9ab0

441122200240 has 80 divisors (see below), whose sum is σ = 1094229116640. Its totient is φ = 164801761280.

The previous prime is 441122200213. The next prime is 441122200247. The reversal of 441122200240 is 42002221144.

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

It is not an unprimeable number, because it can be changed into a prime (441122200247) 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, 1059835 + ... + 1416154.

It is an arithmetic number, because the mean of its divisors is an integer number (13677863958).

Almost surely, 2441122200240 is an apocalyptic number.

441122200240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441122200240 is an abundant number, since it is smaller than the sum of its proper divisors (653106916400).

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

441122200240 is a wasteful number, since it uses less digits than its factorization.

441122200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476150 (or 2476144 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 441122200240 its reverse (42002221144), we get a palindrome (483124421384).

The spelling of 441122200240 in words is "four hundred forty-one billion, one hundred twenty-two million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 131 136 170 262 272 340 524 655 680 1048 1310 1360 2096 2227 2620 4454 5240 8908 10480 11135 17816 22270 35632 44540 89080 178160 2475989 4951978 9903956 12379945 19807912 24759890 39615824 42091813 49519780 84183626 99039560 168367252 198079120 210459065 324354559 336734504 420918130 648709118 673469008 841836260 1297418236 1621772795 1683672520 2594836472 3243545590 3367345040 5189672944 5514027503 6487091180 11028055006 12974182360 22056110012 25948364720 27570137515 44112220024 55140275030 88224440048 110280550060 220561100120 441122200240