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16442664001434 = 23211111777429879
BaseRepresentation
bin1110111101000101101100…
…1001011001111110011010
32011012220101112012000011200
43233101123021121332122
54123344033441021214
654545353333535030
73314641353652356
oct357213311317632
964186345160150
1016442664001434
11526a327195590
121a16846aa4476
139236c8a9a1c8
1440bb873d0466
151d7aa10ced09
hexef45b259f9a

16442664001434 has 48 divisors (see below), whose sum is σ = 38867960963520. Its totient is φ = 4982178991680.

The previous prime is 16442664001433. The next prime is 16442664001513. The reversal of 16442664001434 is 43410046624461.

It is a happy number.

16442664001434 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 66 + 400 + 143 + 4 = 666.

It is a super-3 number, since 3×164426640014343 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 16442664001434.

It is not an unprimeable number, because it can be changed into a prime (16442664001433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501894 + ... + 5927985.

It is an arithmetic number, because the mean of its divisors is an integer number (809749186740).

Almost surely, 216442664001434 is an apocalyptic number.

16442664001434 is an abundant number, since it is smaller than the sum of its proper divisors (22425296962086).

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

16442664001434 is a wasteful number, since it uses less digits than its factorization.

16442664001434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441075 (or 7441072 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 16442664001434 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-four million, one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11177 22354 33531 67062 100593 122947 201186 245894 368841 737682 1106523 2213046 7429879 14859758 22289637 44579274 66868911 81728669 133737822 163457338 245186007 490372014 735558021 1471116042 83043757583 166087515166 249131272749 498262545498 747393818247 913481333413 1494787636494 1826962666826 2740444000239 5480888000478 8221332000717 16442664001434