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144111012300 = 22345217791483
BaseRepresentation
bin1000011000110110101…
…1111000100111001100
3111202222100021221110000
42012031223320213030
54330114404343200
6150111555044300
713261130251623
oct2061553704714
9452870257400
10144111012300
1156131a00572
1223b1a5a0690
13107884b1758
146d915dc6ba
153b36ac4300
hex218daf89cc

144111012300 has 90 divisors (see below), whose sum is σ = 467150995388. Its totient is φ = 38429601120.

The previous prime is 144111012293. The next prime is 144111012343. The reversal of 144111012300 is 3210111441.

144111012300 is a `hidden beast` number, since 14 + 411 + 10 + 1 + 230 + 0 = 666.

144111012300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1441110123002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 8887642 + ... + 8903841.

Almost surely, 2144111012300 is an apocalyptic number.

144111012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144111012300 is an abundant number, since it is smaller than the sum of its proper divisors (323039983088).

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

144111012300 is a wasteful number, since it uses less digits than its factorization.

144111012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17791509 (or 17791493 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 144111012300 its reverse (3210111441), we get a palindrome (147321123741).

The spelling of 144111012300 in words is "one hundred forty-four billion, one hundred eleven million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 17791483 35582966 53374449 71165932 88957415 106748898 160123347 177914830 213497796 266872245 320246694 355829660 444787075 480370041 533744490 640493388 800616735 889574150 960740082 1067488980 1334361225 1441110123 1601233470 1779148300 1921480164 2401850205 2668722450 2882220246 3202466940 4003083675 4803700410 5337444900 5764440492 7205550615 8006167350 9607400820 12009251025 14411101230 16012334700 24018502050 28822202460 36027753075 48037004100 72055506150 144111012300