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159390322000144 = 24487264812
BaseRepresentation
bin100100001111011011110011…
…100001100000000100010000
3202220100120021120222122210121
4210033123303201200010100
5131342422334413001034
61322554523021440024
745400366523606644
oct4417336341400420
9686316246878717
10159390322000144
11468720685211a4
1215a62ab4410014
136ac259acab1b1
142b50765c00c24
151366194a4e1b4
hex90f6f3860110

159390322000144 has 45 divisors (see below), whose sum is σ = 309501930993381. Its totient is φ = 79519244417280.

The previous prime is 159390322000127. The next prime is 159390322000171. The reversal of 159390322000144 is 441000223093951.

The square root of 159390322000144 is 12624988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 151521623785744 + 7868698214400 = 12309412^2 + 2805120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 159390322000144.

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 8 ways as a sum of consecutive naturals, for example, 24593473384 + ... + 24593479864.

Almost surely, 2159390322000144 is an apocalyptic number.

159390322000144 is the 12624988-th square number.

It is an amenable number.

159390322000144 is a deficient number, since it is larger than the sum of its proper divisors (150111608993237).

159390322000144 is an frugal number, since it uses more digits than its factorization.

159390322000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13944 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 159390322000144 in words is "one hundred fifty-nine trillion, three hundred ninety billion, three hundred twenty-two million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 487 974 1948 3896 6481 7792 12962 25924 51848 103696 237169 474338 948676 1897352 3156247 3794704 6312494 12624988 25249976 42003361 50499952 84006722 168013444 336026888 672053776 1537092289 3074184578 6148369156 12296738312 20455636807 24593476624 40911273614 81822547228 163645094456 327290188912 9961895125009 19923790250018 39847580500036 79695161000072 159390322000144