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144012201300 = 2232521114546687
BaseRepresentation
bin1000011000011111001…
…0111100110101010100
3111202201110100211020100
42012013302330311110
54324414110420200
6150054105134100
713255520341122
oct2060762746524
9452643324210
10144012201300
1156091151390
1223ab148a330
1310770b961c6
146d8243a912
153b2d0a6d00
hex2187cbcd54

144012201300 has 108 divisors (see below), whose sum is σ = 492434482176. Its totient is φ = 34912046400.

The previous prime is 144012201271. The next prime is 144012201331. The reversal of 144012201300 is 3102210441.

144012201300 is a `hidden beast` number, since 1 + 440 + 1 + 220 + 1 + 3 + 0 + 0 = 666.

144012201300 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 (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7263444 + ... + 7283243.

Almost surely, 2144012201300 is an apocalyptic number.

144012201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144012201300 is an abundant number, since it is smaller than the sum of its proper divisors (348422280876).

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

144012201300 is a wasteful number, since it uses less digits than its factorization.

144012201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14546718 (or 14546708 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 144012201300 its reverse (3102210441), we get a palindrome (147114411741).

The spelling of 144012201300 in words is "one hundred forty-four billion, twelve million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 14546687 29093374 43640061 58186748 72733435 87280122 130920183 145466870 160013557 174560244 218200305 261840366 290933740 320027114 363667175 436400610 480040671 523680732 640054228 654600915 727334350 800067785 872801220 960081342 1091001525 1309201830 1440122013 1454668700 1600135570 1920162684 2182003050 2400203355 2618403660 2880244026 3200271140 3273004575 4000338925 4364006100 4800406710 5760488052 6546009150 7200610065 8000677850 9600813420 12001016775 13092018300 14401220130 16001355700 24002033550 28802440260 36003050325 48004067100 72006100650 144012201300