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201044444304 = 243111997190669
BaseRepresentation
bin1011101100111100101…
…1101100010010010000
3201012221010120221201210
42323033023230102100
511243214334204204
6232205240100120
720345032403064
oct2731713542220
9635833527653
10201044444304
1178298390710
1232b69464640
1315c5c81aa62
149a32abbaa4
155369ed4389
hex2ecf2ec490

201044444304 has 80 divisors (see below), whose sum is σ = 566866486080. Its totient is φ = 60891732480.

The previous prime is 201044444297. The next prime is 201044444329. The reversal of 201044444304 is 403444440102.

201044444304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 959082 + ... + 1149750.

It is an arithmetic number, because the mean of its divisors is an integer number (7085831076).

Almost surely, 2201044444304 is an apocalyptic number.

201044444304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201044444304 is an abundant number, since it is smaller than the sum of its proper divisors (365822041776).

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

201044444304 is a wasteful number, since it uses less digits than its factorization.

201044444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192688 (or 192682 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 201044444304 its reverse (403444440102), we get a palindrome (604488884406).

The spelling of 201044444304 in words is "two hundred one billion, forty-four million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1997 3994 5991 7988 11982 15976 21967 23964 31952 43934 47928 65901 87868 95856 131802 175736 190669 263604 351472 381338 527208 572007 762676 1054416 1144014 1525352 2097359 2288028 3050704 4194718 4576056 6292077 8389436 9152112 12584154 16778872 25168308 33557744 50336616 100673232 380765993 761531986 1142297979 1523063972 2284595958 3046127944 4188425923 4569191916 6092255888 8376851846 9138383832 12565277769 16753703692 18276767664 25130555538 33507407384 50261111076 67014814768 100522222152 201044444304