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441010401040 = 24511598494037
BaseRepresentation
bin1100110101011100100…
…01001010111100010000
31120011022202212121011001
412122232101022330100
524211142130313130
6534333011231344
743601435362306
oct6325621127420
91504282777131
10441010401040
11160038968720
12715795a8554
1332782b30031
14174b8a28276
15b711e686ca
hex66ae44af10

441010401040 has 80 divisors (see below), whose sum is σ = 1137521568960. Its totient is φ = 157649308160.

The previous prime is 441010400993. The next prime is 441010401067. The reversal of 441010401040 is 40104010144.

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 = 441010400999 and 441010401017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4195099 + ... + 4298938.

It is an arithmetic number, because the mean of its divisors is an integer number (14219019612).

Almost surely, 2441010401040 is an apocalyptic number.

441010401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441010401040 is an abundant number, since it is smaller than the sum of its proper divisors (696511167920).

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

441010401040 is a wasteful number, since it uses less digits than its factorization.

441010401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494120 (or 8494114 counting only the distinct ones).

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

Adding to 441010401040 its reverse (40104010144), we get a palindrome (481114411184).

The spelling of 441010401040 in words is "four hundred forty-one billion, ten million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 25960 51920 8494037 16988074 33976148 42470185 67952296 84940370 93434407 135904592 169880740 186868814 339761480 373737628 467172035 501148183 679522960 747475256 934344070 1002296366 1494950512 1868688140 2004592732 2505740915 3737376280 4009185464 5011481830 5512630013 7474752560 8018370928 10022963660 11025260026 20045927320 22050520052 27563150065 40091854640 44101040104 55126300130 88202080208 110252600260 220505200520 441010401040