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16442072542305 = 345353115007677
BaseRepresentation
bin1110111101000011011111…
…1001001010110001100001
32011012211212022020202210000
43233100313321022301201
54123341331032323210
654545214524530213
73314620612434624
oct357206771126141
964184768222700
1016442072542305
11526a053340593
121a167009b0969
139236333a1ca7
1440bb2ca2bdbb
151d7a691ecac0
hexef437e4ac61

16442072542305 has 40 divisors (see below), whose sum is σ = 29557433276712. Its totient is φ = 8744263621632.

The previous prime is 16442072542219. The next prime is 16442072542367. The reversal of 16442072542305 is 50324527024461.

16442072542305 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 0 + 72 + 542 + 30 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3752867821824 + 12689204720481 = 1937232^2 + 3562191^2 .

It is not a de Polignac number, because 16442072542305 - 212 = 16442072538209 is a prime.

It is a super-3 number, since 3×164420725423053 (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57360874 + ... + 57646803.

Almost surely, 216442072542305 is an apocalyptic number.

16442072542305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16442072542305 is a deficient number, since it is larger than the sum of its proper divisors (13115360734407).

16442072542305 is a wasteful number, since it uses less digits than its factorization.

16442072542305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115008047 (or 115008038 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 16442072542305 its reverse (50324527024461), we get a palindrome (66766599566766).

The spelling of 16442072542305 in words is "sixteen trillion, four hundred forty-two billion, seventy-two million, five hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 353 405 1059 1765 3177 5295 9531 15885 28593 47655 142965 115007677 345023031 575038385 1035069093 1725115155 3105207279 5175345465 9315621837 15526036395 40597709981 46578109185 121793129943 202988549905 365379389829 608965649715 1096138169487 1826896949145 3288414508461 5480690847435 16442072542305