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144300410120040 = 23352395031395053
BaseRepresentation
bin100000110011110110001110…
…101011111010011101101000
3200220220222120200120112012120
4200303312032223322131220
5122403204214442320130
61230522405424311240
742252234453136026
oct4063661653723550
9626828520515176
10144300410120040
1141a84507677399
1214226477472520
1362696162b06c5
14278c26a009716
1511a38b8b67910
hex833d8eafa768

144300410120040 has 64 divisors (see below), whose sum is σ = 434712532665600. Its totient is φ = 38319104716032.

The previous prime is 144300410120003. The next prime is 144300410120071. The reversal of 144300410120040 is 40021014003441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2515668847 + ... + 2515726206.

It is an arithmetic number, because the mean of its divisors is an integer number (6792383322900).

Almost surely, 2144300410120040 is an apocalyptic number.

144300410120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300410120040 is an abundant number, since it is smaller than the sum of its proper divisors (290412122545560).

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

144300410120040 is a wasteful number, since it uses less digits than its factorization.

144300410120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031395306 (or 5031395302 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144300410120040 its reverse (40021014003441), we get a palindrome (184321424123481).

The spelling of 144300410120040 in words is "one hundred forty-four trillion, three hundred billion, four hundred ten million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2868 3585 4780 5736 7170 9560 14340 28680 5031395053 10062790106 15094185159 20125580212 25156975265 30188370318 40251160424 50313950530 60376740636 75470925795 100627901060 120753481272 150941851590 201255802120 301883703180 603767406360 1202503417667 2405006835334 3607510253001 4810013670668 6012517088335 7215020506002 9620027341336 12025034176670 14430041012004 18037551265005 24050068353340 28860082024008 36075102530010 48100136706680 72150205060020 144300410120040