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16442066417224 = 2371963292441629
BaseRepresentation
bin1110111101000011011110…
…0001110011011001001000
32011012211211212201120202011
43233100313201303121020
54123341323000322344
654545214145345304
73314620506404350
oct357206741633110
964184755646664
1016442066417224
11526a04a937738
121a166ba938234
13923632039096
1440bb2bcb5b60
151d7a688dcd34
hexef437873648

16442066417224 has 64 divisors (see below), whose sum is σ = 37093242960000. Its totient is φ = 6674668697088.

The previous prime is 16442066417207. The next prime is 16442066417291. The reversal of 16442066417224 is 42271466024461.

It is a super-3 number, since 3×164420664172243 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5513242 + ... + 7954870.

It is an arithmetic number, because the mean of its divisors is an integer number (579581921250).

Almost surely, 216442066417224 is an apocalyptic number.

16442066417224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16442066417224 is an abundant number, since it is smaller than the sum of its proper divisors (20651176542776).

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

16442066417224 is a wasteful number, since it uses less digits than its factorization.

16442066417224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447990 (or 2447986 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 16442066417224 in words is "sixteen trillion, four hundred forty-two billion, sixty-six million, four hundred seventeen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 6329 12658 25316 44303 50632 88606 120251 177212 240502 354424 481004 841757 962008 1683514 2441629 3367028 4883258 6734056 9766516 17091403 19533032 34182806 46390951 68365612 92781902 136731224 185563804 324736657 371127608 649473314 1298946628 2597893256 15453069941 30906139882 61812279764 108171489587 123624559528 216342979174 293608328879 432685958348 587216657758 865371916696 1174433315516 2055258302153 2348866631032 4110516604306 8221033208612 16442066417224