Search a number
-
+
140444414100441 = 3411769204974779
BaseRepresentation
bin11111111011101111000011…
…011010011100001111011001
3200102021100120200202222120000
4133323233003122130033121
5121402020130002203231
61214411134555323213
741403526335564303
oct3773570332341731
9612240520688500
10140444414100441
1140828161421680
121390309a150509
136049b0b760339
14269778dda6973
15113843518d6e6
hex7fbbc369c3d9

140444414100441 has 40 divisors (see below), whose sum is σ = 229170003031200. Its totient is φ = 85007139932160.

The previous prime is 140444414100437. The next prime is 140444414100481. The reversal of 140444414100441 is 144001414444041.

It is not a de Polignac number, because 140444414100441 - 22 = 140444414100437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140444414100396 and 140444414100405.

It is not an unprimeable number, because it can be changed into a prime (140444414100481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101802211 + ... + 103172568.

It is an arithmetic number, because the mean of its divisors is an integer number (5729250075780).

Almost surely, 2140444414100441 is an apocalyptic number.

140444414100441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140444414100441 is a deficient number, since it is larger than the sum of its proper divisors (88725588930759).

140444414100441 is a wasteful number, since it uses less digits than its factorization.

140444414100441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204975571 (or 204975562 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 140444414100441 its reverse (144001414444041), we get a palindrome (284445828544482).

The spelling of 140444414100441 in words is "one hundred forty trillion, four hundred forty-four billion, four hundred fourteen million, one hundred thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 297 769 891 2307 6921 8459 20763 25377 62289 76131 228393 685179 204974779 614924337 1844773011 2254722569 5534319033 6764167707 16602957099 20292503121 60877509363 157625605051 182632528089 472876815153 1418630445459 1733881655561 4255891336377 5201644966683 12767674009131 15604934900049 46814804700147 140444414100441