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21714731360144 = 2417670731190249
BaseRepresentation
bin1001110111111110110101…
…10110010101111110010000
32211212220111222000221221222
410323333122312111332100
510321233232212011034
6114103335422104212
74400560200056204
oct473773266257620
984786458027858
1021714731360144
116a12190829529
12252856371b068
13c168c89c7854
14550dda260b04
15279cb3b0212e
hex13bfdad95f90

21714731360144 has 40 divisors (see below), whose sum is σ = 44547834303000. Its totient is φ = 10218536173568.

The previous prime is 21714731360131. The next prime is 21714731360159. The reversal of 21714731360144 is 44106313741712.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13413994150144 + 8300737210000 = 3662512^2 + 2881100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21714731360095 and 21714731360104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17648732 + ... + 18838980.

It is an arithmetic number, because the mean of its divisors is an integer number (1113695857575).

Almost surely, 221714731360144 is an apocalyptic number.

It is an amenable number.

21714731360144 is an abundant number, since it is smaller than the sum of its proper divisors (22833102942856).

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

21714731360144 is a wasteful number, since it uses less digits than its factorization.

21714731360144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257347 (or 1257341 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 21714731360144 in words is "twenty-one trillion, seven hundred fourteen billion, seven hundred thirty-one million, three hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 67073 134146 268292 536584 1073168 1140241 1190249 2280482 2380498 4560964 4760996 9121928 9521992 18243856 19043984 20234233 40468466 80936932 161873864 323747728 79833571177 159667142354 319334284708 638668569416 1277337138832 1357170710009 2714341420018 5428682840036 10857365680072 21714731360144