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441032103040 = 275991695371
BaseRepresentation
bin1100110101011111000…
…11111101010010000000
31120011101021201011200211
412122233203331102000
524211213204244130
6534335104323504
743602121010404
oct6325743752200
91504337634624
10441032103040
1116004a140761
1271584913594
133278748b059
14174bb877104
15b713d03a2a
hex66af8fd480

441032103040 has 64 divisors (see below), whose sum is σ = 1055407806720. Its totient is φ = 176234572800.

The previous prime is 441032103019. The next prime is 441032103059. The reversal of 441032103040 is 40301230144.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286555 + ... + 981925.

It is an arithmetic number, because the mean of its divisors is an integer number (16490746980).

Almost surely, 2441032103040 is an apocalyptic number.

441032103040 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 441032103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527703903360).

441032103040 is an abundant number, since it is smaller than the sum of its proper divisors (614375703680).

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

441032103040 is an equidigital number, since it uses as much as digits as its factorization.

441032103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696381 (or 696369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 441032103040 its reverse (40301230144), we get a palindrome (481333333184).

The spelling of 441032103040 in words is "four hundred forty-one billion, thirty-two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 991 1982 3964 4955 7928 9910 15856 19820 31712 39640 63424 79280 126848 158560 317120 634240 695371 1390742 2781484 3476855 5562968 6953710 11125936 13907420 22251872 27814840 44503744 55629680 89007488 111259360 222518720 445037440 689112661 1378225322 2756450644 3445563305 5512901288 6891126610 11025802576 13782253220 22051605152 27564506440 44103210304 55129012880 88206420608 110258025760 220516051520 441032103040