Search a number
-
+
144441224034300 = 2232521371171461671
BaseRepresentation
bin100000110101111001010111…
…110110010111011111111100
3200221102110001020210112102100
4200311321113312113133330
5122413011111323044200
61231111214323225100
742265351116513144
oct4065712766273774
9627373036715370
10144441224034300
11420291a7435346
1214249815818190
13627999768796b
142794dc7785924
1511a73ab05dd00
hex835e57d977fc

144441224034300 has 108 divisors (see below), whose sum is σ = 456047685986256. Its totient is φ = 38236508908800.

The previous prime is 144441224034299. The next prime is 144441224034343. The reversal of 144441224034300 is 3430422144441.

144441224034300 is a `hidden beast` number, since 1 + 4 + 44 + 41 + 2 + 240 + 34 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 585607536 + ... + 585854135.

It is an arithmetic number, because the mean of its divisors is an integer number (4222663759132).

Almost surely, 2144441224034300 is an apocalyptic number.

144441224034300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441224034300 is an abundant number, since it is smaller than the sum of its proper divisors (311606461951956).

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

144441224034300 is a wasteful number, since it uses less digits than its factorization.

144441224034300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171461828 (or 1171461818 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144441224034300 its reverse (3430422144441), we get a palindrome (147871646178741).

The spelling of 144441224034300 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-four million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 137 150 180 225 274 300 411 450 548 685 822 900 1233 1370 1644 2055 2466 2740 3425 4110 4932 6165 6850 8220 10275 12330 13700 20550 24660 30825 41100 61650 123300 1171461671 2342923342 3514385013 4685846684 5857308355 7028770026 10543155039 11714616710 14057540052 17571925065 21086310078 23429233420 29286541775 35143850130 42172620156 52715775195 58573083550 70287700260 87859625325 105431550390 117146167100 160490248927 175719250650 210863100780 263578875975 320980497854 351438501300 481470746781 527157751950 641960995708 802451244635 962941493562 1054315503900 1444412240343 1604902489270 1925882987124 2407353733905 2888824480686 3209804978540 4012256223175 4814707467810 5777648961372 7222061201715 8024512446350 9629414935620 12036768669525 14444122403430 16049024892700 24073537339050 28888244806860 36110306008575 48147074678100 72220612017150 144441224034300