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441021000200 = 235211379528929
BaseRepresentation
bin1100110101011101110…
…01100110101000001000
31120011100111211002110112
412122232321212220020
524211202334001300
6534334030333452
743601624435534
oct6325671465010
91504314732415
10441021000200
11160043947a60
127158105a288
13327850a1521
14174ba1c6bc4
15b712d5de35
hex66aee66a08

441021000200 has 96 divisors (see below), whose sum is σ = 1121543172000. Its totient is φ = 159947827200.

The previous prime is 441021000197. The next prime is 441021000223. The reversal of 441021000200 is 2000120144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569336 + ... + 1098264.

It is an arithmetic number, because the mean of its divisors is an integer number (11682741375).

Almost surely, 2441021000200 is an apocalyptic number.

441021000200 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 441021000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560771586000).

441021000200 is an abundant number, since it is smaller than the sum of its proper divisors (680522171800).

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

441021000200 is a wasteful number, since it uses less digits than its factorization.

441021000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529335 (or 529326 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 441021000200 its reverse (2000120144), we get a palindrome (443021120344).

The spelling of 441021000200 in words is "four hundred forty-one billion, twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 379 440 550 758 1100 1516 1895 2200 3032 3790 4169 7580 8338 9475 15160 16676 18950 20845 33352 37900 41690 75800 83380 104225 166760 208450 416900 528929 833800 1057858 2115716 2644645 4231432 5289290 5818219 10578580 11636438 13223225 21157160 23272876 26446450 29091095 46545752 52892900 58182190 105785800 116364380 145455475 200464091 232728760 290910950 400928182 581821900 801856364 1002320455 1163643800 1603712728 2004640910 2205105001 4009281820 4410210002 5011602275 8018563640 8820420004 10023204550 11025525005 17640840008 20046409100 22051050010 40092818200 44102100020 55127625025 88204200040 110255250050 220510500100 441021000200