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201044441424 = 243371011120799
BaseRepresentation
bin1011101100111100101…
…1101011100101010000
3201012221010120210210010
42323033023223211100
511243214334111144
6232205240034520
720345032361511
oct2731713534520
9635833523703
10201044441424
1178298389532
1232b69462a40
1315c5c819658
149a32abaa08
155369ed35b9
hex2ecf2eb950

201044441424 has 80 divisors (see below), whose sum is σ = 538683379200. Its totient is φ = 64557964800.

The previous prime is 201044441393. The next prime is 201044441441. The reversal of 201044441424 is 424144440102.

It is a junction number, because it is equal to n+sod(n) for n = 201044441391 and 201044441400.

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, 381024 + ... + 739775.

It is an arithmetic number, because the mean of its divisors is an integer number (6733542240).

Almost surely, 2201044441424 is an apocalyptic number.

201044441424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201044441424 is an abundant number, since it is smaller than the sum of its proper divisors (337638937776).

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

201044441424 is a wasteful number, since it uses less digits than its factorization.

201044441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120948 (or 1120942 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 201044441424 its reverse (424144440102), we get a palindrome (625188881526).

The spelling of 201044441424 in words is "two hundred one billion, forty-four million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 101 111 148 202 222 296 303 404 444 592 606 808 888 1212 1616 1776 2424 3737 4848 7474 11211 14948 22422 29896 44844 59792 89688 179376 1120799 2241598 3362397 4483196 6724794 8966392 13449588 17932784 26899176 41469563 53798352 82939126 113200699 124408689 165878252 226401398 248817378 331756504 339602097 452802796 497634756 663513008 679204194 905605592 995269512 1358408388 1811211184 1990539024 2716816776 4188425863 5433633552 8376851726 12565277589 16753703452 25130555178 33507406904 50261110356 67014813808 100522220712 201044441424