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144044041231040 = 2654431016112029
BaseRepresentation
bin100000110000000111011101…
…111010001101101011000000
3200220000110211220021120211112
4200300013131322031223000
5122340004144023343130
61230204530301302452
742224560423422536
oct4060073572155300
9626013756246745
10144044041231040
114199580a066615
12141a4849b64a28
13624b3aa8b8052
14277daa9802156
15119bdb1b4a495
hex8301dde8dac0

144044041231040 has 56 divisors (see below), whose sum is σ = 343779150885840. Its totient is φ = 57487554096128.

The previous prime is 144044041231037. The next prime is 144044041231049. The reversal of 144044041231040 is 40132140440441.

144044041231040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1440440412310403 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144044041230988 and 144044041231006.

It is not an unprimeable number, because it can be changed into a prime (144044041231049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507914255 + ... + 508197774.

Almost surely, 2144044041231040 is an apocalyptic number.

144044041231040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044041231040 is an abundant number, since it is smaller than the sum of its proper divisors (199735109654800).

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

144044041231040 is a wasteful number, since it uses less digits than its factorization.

144044041231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016112489 (or 1016112479 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144044041231040 its reverse (40132140440441), we get a palindrome (184176181671481).

The spelling of 144044041231040 in words is "one hundred forty-four trillion, forty-four billion, forty-one million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 443 886 1772 2215 3544 4430 7088 8860 14176 17720 28352 35440 70880 141760 1016112029 2032224058 4064448116 5080560145 8128896232 10161120290 16257792464 20322240580 32515584928 40644481160 65031169856 81288962320 162577924640 325155849280 450137628847 900275257694 1800550515388 2250688144235 3601101030776 4501376288470 7202202061552 9002752576940 14404404123104 18005505153880 28808808246208 36011010307760 72022020615520 144044041231040