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16442140044645 = 3257234095548769
BaseRepresentation
bin1110111101000011101111…
…1010101010110101100101
32011012212001000021020120200
43233100323322222311211
54123342000322412040
654545225335421113
73314622362256510
oct357207372526545
964185030236520
1016442140044645
11526a088456047
121a1671b524799
139236443779c3
1440bb3799dd77
151d7a700d3630
hexef43beaad65

16442140044645 has 96 divisors (see below), whose sum is σ = 34070335603200. Its totient is φ = 7172026785792.

The previous prime is 16442140044623. The next prime is 16442140044667. The reversal of 16442140044645 is 54644004124461.

16442140044645 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 140 + 0 + 4 + 464 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (16442140044623) and next prime (16442140044667).

It is not a de Polignac number, because 16442140044645 - 210 = 16442140043621 is a prime.

It is a super-3 number, since 3×164421400446453 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 16442140044645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188821 + ... + 5737589.

It is an arithmetic number, because the mean of its divisors is an integer number (354899329200).

Almost surely, 216442140044645 is an apocalyptic number.

16442140044645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16442140044645 is an abundant number, since it is smaller than the sum of its proper divisors (17628195558555).

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

16442140044645 is a wasteful number, since it uses less digits than its factorization.

16442140044645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549219 (or 5549216 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 16442140044645 in words is "sixteen trillion, four hundred forty-two billion, one hundred forty million, forty-four thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 409 483 805 1035 1227 1449 2045 2415 2863 3681 6135 7245 8589 9407 14315 18405 25767 28221 42945 47035 65849 84663 128835 141105 197547 329245 423315 592641 987735 2963205 5548769 16646307 27743845 38841383 49938921 83231535 116524149 127621687 194206915 249694605 349572447 382865061 582620745 638108435 893351809 1148595183 1747862235 1914325305 2269446521 2680055427 4466759045 5742975915 6808339563 8040166281 11347232605 13400277135 15886125647 20425018689 34041697815 40200831405 47658376941 52197269983 79430628235 102125093445 142975130823 156591809949 238291884705 260986349915 365380889881 469775429847 714875654115 782959049745 1096142669643 1826904449405 2348877149235 3288428008929 5480713348215 16442140044645