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10441321143040 = 28523734858417
BaseRepresentation
bin1001011111110000111100…
…1111001101101100000000
31100222011212121211011212101
42113330033033031230000
52332032311203034130
634112402100440144
72125234446226144
oct227741717155400
940864777734771
1010441321143040
113366159642807
1212077213a9054
135a97c6477858
14281511125224
151319092dd1ca
hex97f0f3cdb00

10441321143040 has 144 divisors (see below), whose sum is σ = 26455135428288. Its totient is φ = 3940214243328.

The previous prime is 10441321142983. The next prime is 10441321143073. The reversal of 10441321143040 is 4034112314401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280089 + ... + 4578328.

It is an arithmetic number, because the mean of its divisors is an integer number (183716218252).

Almost surely, 210441321143040 is an apocalyptic number.

10441321143040 is a gapful number since it is divisible by the number (10) 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 10441321143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227567714144).

10441321143040 is an abundant number, since it is smaller than the sum of its proper divisors (16013814285248).

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

10441321143040 is an equidigital number, since it uses as much as digits as its factorization.

10441321143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858534 (or 4858520 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10441321143040 its reverse (4034112314401), we get a palindrome (14475433457441).

The spelling of 10441321143040 in words is "ten trillion, four hundred forty-one billion, three hundred twenty-one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 73 80 92 115 128 146 160 184 230 256 292 320 365 368 460 584 640 730 736 920 1168 1280 1460 1472 1679 1840 2336 2920 2944 3358 3680 4672 5840 5888 6716 7360 8395 9344 11680 13432 14720 16790 18688 23360 26864 29440 33580 46720 53728 67160 93440 107456 134320 214912 268640 429824 537280 1074560 2149120 4858417 9716834 19433668 24292085 38867336 48584170 77734672 97168340 111743591 155469344 194336680 223487182 310938688 354664441 388673360 446974364 558717955 621877376 709328882 777346720 893948728 1117435910 1243754752 1418657764 1554693440 1773322205 1787897456 2234871820 2837315528 3109386880 3546644410 3575794912 4469743640 5674631056 6218773760 7093288820 7151589824 8157282143 8939487280 11349262112 14186577640 14303179648 16314564286 17878974560 22698524224 28373155280 28606359296 32629128572 35757949120 40786410715 45397048448 56746310560 65258257144 71515898240 81572821430 90794096896 113492621120 130516514288 143031796480 163145642860 226985242240 261033028576 326291285720 453970484480 522066057152 652582571440 1044132114304 1305165142880 2088264228608 2610330285760 5220660571520 10441321143040