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144044041200 = 24352235218987
BaseRepresentation
bin1000011000100110110…
…0011010001111110000
3111202210200021110100220
42012021230122033300
54330000233304300
6150101203413040
713256355101613
oct2061154321760
9452720243326
10144044041200
11560a8119154
1223b00084180
1310777663797
146d8676817a
153b30c95da0
hex2189b1a3f0

144044041200 has 120 divisors (see below), whose sum is σ = 481482956928. Its totient is φ = 36741661440.

The previous prime is 144044041171. The next prime is 144044041231. The reversal of 144044041200 is 2140440441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581894 + ... + 2637093.

Almost surely, 2144044041200 is an apocalyptic number.

144044041200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044041200 is an abundant number, since it is smaller than the sum of its proper divisors (337438915728).

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

144044041200 is a wasteful number, since it uses less digits than its factorization.

144044041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219031 (or 5219020 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144044041200 its reverse (2140440441), we get a palindrome (146184481641).

The spelling of 144044041200 in words is "one hundred forty-four billion, forty-four million, forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5520 6900 9200 13800 27600 5218987 10437974 15656961 20875948 26094935 31313922 41751896 52189870 62627844 78284805 83503792 104379740 120036701 125255688 130474675 156569610 208759480 240073402 250511376 260949350 313139220 360110103 391424025 417518960 480146804 521898700 600183505 626278440 720220206 782848050 960293608 1043797400 1200367010 1252556880 1440440412 1565696100 1800550515 1920587216 2087594800 2400734020 2880880824 3000917525 3131392200 3601101030 4801468040 5761761648 6001835050 6262784400 7202202060 9002752575 9602936080 12003670100 14404404120 18005505150 24007340200 28808808240 36011010300 48014680400 72022020600 144044041200