Search a number
-
+
14787324194041 = 721922929972
BaseRepresentation
bin1101011100101111000100…
…1101001010110011111001
31221100122200001022000220101
43113023301031022303321
53414233414443202131
651241111500555401
73054230451522100
oct327136115126371
957318601260811
1014787324194041
1147912a6003793
1217a9a70b52b61
13833591a4ab09
143919d3139037
151a99bb47ac61
hexd72f134acf9

14787324194041 has 81 divisors (see below), whose sum is σ = 18821061873549. Its totient is φ = 11582062986816.

The previous prime is 14787324194011. The next prime is 14787324194107. The reversal of 14787324194041 is 14049142378741.

The square root of 14787324194041 is 3845429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2540851940025 + 12246472254016 = 1594005^2 + 3499496^2 .

It is not a de Polignac number, because 14787324194041 - 25 = 14787324194009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14787324194011) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14831819155 + ... + 14831820151.

Almost surely, 214787324194041 is an apocalyptic number.

14787324194041 is the 3845429-th square number.

14787324194041 is the 1922715-th centered octagonal number.

It is an amenable number.

14787324194041 is a deficient number, since it is larger than the sum of its proper divisors (4033737679508).

14787324194041 is an frugal number, since it uses more digits than its factorization.

14787324194041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 14787324194041 in words is "fourteen trillion, seven hundred eighty-seven billion, three hundred twenty-four million, one hundred ninety-four thousand, forty-one".

Divisors: 1 7 19 29 49 133 203 361 551 841 931 997 1421 2527 3857 5887 6979 10469 15979 17689 18943 26999 28913 41209 48853 73283 111853 132601 202391 303601 359917 512981 549347 782971 838477 928207 994009 1416737 2125207 2519419 3845429 5869339 6958063 10437593 14876449 15931063 17635933 18886171 26918003 28826261 41085373 48706441 73063151 111517441 132203197 201783827 302690197 358837249 511442057 547698959 780622087 835961569 925422379 1412486789 2118831379 2511860743 3833892713 5851730983 10406280221 14831819653 15883269811 17583025201 26837248991 40962116881 72843961547 111182888677 301782126409 509907730829 778280220739 2112474884863 14787324194041