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16442024146731 = 323179497413761
BaseRepresentation
bin1110111101000011010100…
…0000100011011100101011
32011012211201221012000112100
43233100311000203130223
54123341231140143411
654545210035344443
73314616454201641
oct357206500433453
964184657160470
1016442024146731
11526a028a96247
121a166a8752123
13923626358c61
1440bb26431191
151d7a64d3d456
hexef43502372b

16442024146731 has 24 divisors (see below), whose sum is σ = 24518793686400. Its totient is φ = 10606421606400.

The previous prime is 16442024146627. The next prime is 16442024146799. The reversal of 16442024146731 is 13764142024461.

16442024146731 is a `hidden beast` number, since 1 + 64 + 420 + 24 + 146 + 7 + 3 + 1 = 666.

16442024146731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16442024146731 - 214 = 16442024130347 is a prime.

It is a super-3 number, since 3×164420241467313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16442024146231) 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, 1489110 + ... + 5924651.

It is an arithmetic number, because the mean of its divisors is an integer number (1021616403600).

Almost surely, 216442024146731 is an apocalyptic number.

16442024146731 is a deficient number, since it is larger than the sum of its proper divisors (8076769539669).

16442024146731 is a wasteful number, since it uses less digits than its factorization.

16442024146731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7421747 (or 7421744 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 16442024146731 in words is "sixteen trillion, four hundred forty-two billion, twenty-four million, one hundred forty-six thousand, seven hundred thirty-one".

Divisors: 1 3 9 31 93 279 7949 23847 71541 246419 739257 2217771 7413761 22241283 66723849 229826591 689479773 2068439319 58931986189 176795958567 530387875701 1826891571859 5480674715577 16442024146731