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201044332044 = 223383154914479
BaseRepresentation
bin1011101100111100101…
…1010000111000001100
3201012221010101020202000
42323033023100320030
511243214322111134
6232205233432300
720345031424563
oct2731713207014
9635833336660
10201044332044
1178298314336
1232b6940b690
1315c5c7ab92a
149a32a8cbda
155369eb0e99
hex2ecf2d0e0c

201044332044 has 96 divisors (see below), whose sum is σ = 527882880000. Its totient is φ = 66160058688.

The previous prime is 201044332033. The next prime is 201044332067. The reversal of 201044332044 is 440233440102.

It is a happy number.

201044332044 is a `hidden beast` number, since 2 + 0 + 10 + 443 + 3 + 204 + 4 = 666.

201044332044 is digitally balanced in base 2, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 201044331999 and 201044332017.

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 31 ways as a sum of consecutive naturals, for example, 13877997 + ... + 13892475.

It is an arithmetic number, because the mean of its divisors is an integer number (5498780000).

Almost surely, 2201044332044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044332044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263941440000).

201044332044 is an abundant number, since it is smaller than the sum of its proper divisors (326838547956).

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

201044332044 is a wasteful number, since it uses less digits than its factorization.

201044332044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16124 (or 16116 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 201044332044 its reverse (440233440102), we get a palindrome (641277772146).

The spelling of 201044332044 in words is "two hundred one billion, forty-four million, three hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 1549 2241 2988 3098 4482 4647 6196 8964 9294 13941 14479 18588 27882 28958 41823 43437 55764 57916 83646 86874 128567 130311 167292 173748 257134 260622 385701 390933 514268 521244 771402 781866 1157103 1201757 1542804 1563732 2314206 2403514 3471309 3605271 4628412 4807028 6942618 7210542 10815813 13885236 14421084 21631626 22427971 32447439 43263252 44855942 64894878 67283913 89711884 129789756 134567826 201851739 269135652 403703478 605555217 807406956 1211110434 1861521593 2422220868 3723043186 5584564779 7446086372 11169129558 16753694337 22338259116 33507388674 50261083011 67014777348 100522166022 201044332044