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16442030012001 = 31123223940310331
BaseRepresentation
bin1110111101000011010101…
…0110111011011001100001
32011012211202100020000011120
43233100311112323121201
54123341234140341001
654545210405202453
73314616555100566
oct357206526733141
964184670200146
1016442030012001
11526a031331980
121a166aa700429
13923627630829
1440bb2711a86d
151d7a655eb236
hexef4355bb661

16442030012001 has 64 divisors (see below), whose sum is σ = 25072492806144. Its totient is φ = 9486941428800.

The previous prime is 16442030011999. The next prime is 16442030012029. The reversal of 16442030012001 is 10021003024461.

It is not a de Polignac number, because 16442030012001 - 21 = 16442030011999 is a prime.

It is a super-3 number, since 3×164420300120013 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442030012801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1591518406 + ... + 1591528736.

It is an arithmetic number, because the mean of its divisors is an integer number (391757700096).

Almost surely, 216442030012001 is an apocalyptic number.

16442030012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16442030012001 is a deficient number, since it is larger than the sum of its proper divisors (8630462794143).

16442030012001 is a wasteful number, since it uses less digits than its factorization.

16442030012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19994.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 16442030012001 its reverse (10021003024461), we get a palindrome (26463033036462).

The spelling of 16442030012001 in words is "sixteen trillion, four hundred forty-two billion, thirty million, twelve thousand, one".

Divisors: 1 3 11 23 33 69 223 253 669 759 2453 5129 7359 9403 10331 15387 28209 30993 56419 103433 113641 169257 216269 237613 310299 340923 648807 712839 2096869 2303813 2378959 2613743 6290607 6911439 7136877 7841229 23065559 25341943 48227987 52987699 69196677 76025829 97142393 144683961 158963097 291427179 530507857 582864689 1068566323 1591523571 1748594067 2234275039 3205698969 6702825117 21662753639 24577025429 64988260917 73731076287 238290290029 498243333697 714870870087 1494730001091 5480676670667 16442030012001