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201044441144 = 23192980956377
BaseRepresentation
bin1011101100111100101…
…1101011100000111000
3201012221010120210101202
42323033023223200320
511243214334104034
6232205240033332
720345032360631
oct2731713534070
9635833523352
10201044441144
11782983892a8
1232b69462848
1315c5c8194a1
149a32aba888
155369ed347e
hex2ecf2eb838

201044441144 has 64 divisors (see below), whose sum is σ = 410995620000. Its totient is φ = 91832444928.

The previous prime is 201044441113. The next prime is 201044441161. The reversal of 201044441144 is 441144440102.

It is a happy number.

201044441144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3537884 + ... + 3594260.

Almost surely, 2201044441144 is an apocalyptic number.

It is an amenable number.

201044441144 is an abundant number, since it is smaller than the sum of its proper divisors (209951178856).

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

201044441144 is a wasteful number, since it uses less digits than its factorization.

201044441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57240 (or 57236 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 201044441144 its reverse (441144440102), we get a palindrome (642188881246).

The spelling of 201044441144 in words is "two hundred one billion, forty-four million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 29 38 58 76 116 152 232 551 809 1102 1618 2204 3236 4408 6472 15371 23461 30742 46922 56377 61484 93844 112754 122968 187688 225508 445759 451016 891518 1071163 1634933 1783036 2142326 3269866 3566072 4284652 6539732 8569304 13079464 31063727 45608993 62127454 91217986 124254908 182435972 248509816 364871944 866570867 1322660797 1733141734 2645321594 3466283468 5290643188 6932566936 10581286376 25130555143 50261110286 100522220572 201044441144