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441434020200 = 23352735723367
BaseRepresentation
bin1100110110001111000…
…01001001100101101000
31120012102021222200101120
412123013201021211220
524213024102121300
6534443023015240
743615101155505
oct6330741114550
91505367880346
10441434020200
11160235aa5aa8
127167743a520
133281c821164
1417518dba4ac
15b7392453a0
hex66c7849968

441434020200 has 48 divisors (see below), whose sum is σ = 1368445464480. Its totient is φ = 117715738560.

The previous prime is 441434020151. The next prime is 441434020213. The reversal of 441434020200 is 2020434144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367861084 + ... + 367862283.

It is an arithmetic number, because the mean of its divisors is an integer number (28509280510).

Almost surely, 2441434020200 is an apocalyptic number.

441434020200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441434020200 is an abundant number, since it is smaller than the sum of its proper divisors (927011444280).

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

441434020200 is a wasteful number, since it uses less digits than its factorization.

441434020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735723386 (or 735723377 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 441434020200 its reverse (2020434144), we get a palindrome (443454454344).

The spelling of 441434020200 in words is "four hundred forty-one billion, four hundred thirty-four million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 735723367 1471446734 2207170101 2942893468 3678616835 4414340202 5885786936 7357233670 8828680404 11035850505 14714467340 17657360808 18393084175 22071701010 29428934680 36786168350 44143402020 55179252525 73572336700 88286804040 110358505050 147144673400 220717010100 441434020200