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16144352071131 = 31671069226713297
BaseRepresentation
bin1110101011101110011001…
…0111101100110111011011
32010011101101122122210201110
43222323212113230313123
54104002113112234011
654200340221551403
73254251044253014
oct352734627546733
963141348583643
1016144352071131
115164865953009
121988a72a15563
139015378cb80b
143db56854a00b
151cee41c19ba6
hexeaee65ecddb

16144352071131 has 32 divisors (see below), whose sum is σ = 21686148610560. Its totient is φ = 10682926695936.

The previous prime is 16144352071123. The next prime is 16144352071189. The reversal of 16144352071131 is 13117025344161.

It is not a de Polignac number, because 16144352071131 - 23 = 16144352071123 is a prime.

It is a super-2 number, since 2×161443520711312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16144352071131.

It is not an unprimeable number, because it can be changed into a prime (16144352071121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214128275 + ... + 1214141571.

It is an arithmetic number, because the mean of its divisors is an integer number (677692144080).

Almost surely, 216144352071131 is an apocalyptic number.

16144352071131 is a deficient number, since it is larger than the sum of its proper divisors (5541796539429).

16144352071131 is a wasteful number, since it uses less digits than its factorization.

16144352071131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16803.

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 16144352071131 in words is "sixteen trillion, one hundred forty-four billion, three hundred fifty-two million, seventy-one thousand, one hundred thirty-one".

Divisors: 1 3 167 501 1069 2267 3207 6801 13297 39891 178523 378589 535569 1135767 2220599 2423423 6661797 7270269 14214493 30144299 42643479 90432897 404711641 1214134923 2373820331 5034097933 7121460993 15102293799 32224255631 96672766893 5381450690377 16144352071131