Search a number
-
+
334659931039161 = 327134713166366767
BaseRepresentation
bin100110000010111110001011…
…0010011110110010110111001
31121212221011210000000100000200
41030011330112103312112321
5322331032014321223121
63143432352213552413
7130330245032360220
oct11405742623662671
91555834700010020
10334659931039161
11976a6530561472
123164b405945709
13114973b0660630
145c8d8aca27cb7
1528a5415ae0a26
hex1305f164f65b9

334659931039161 has 96 divisors (see below), whose sum is σ = 612247770021888. Its totient is φ = 171449248613760.

The previous prime is 334659931039139. The next prime is 334659931039241. The reversal of 334659931039161 is 161930139956433.

334659931039161 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 599 + 3 + 1 + 0 + 39 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 334659931039161 - 227 = 334659796821433 is a prime.

It is a super-2 number, since 2×3346599310391612 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (334659931039661) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28140801 + ... + 38225966.

It is an arithmetic number, because the mean of its divisors is an integer number (6377580937728).

Almost surely, 2334659931039161 is an apocalyptic number.

It is an amenable number.

334659931039161 is a deficient number, since it is larger than the sum of its proper divisors (277587838982727).

334659931039161 is a wasteful number, since it uses less digits than its factorization.

334659931039161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66366971 (or 66366968 counting only the distinct ones).

The product of its (nonzero) digits is 42515280, while the sum is 63.

The spelling of 334659931039161 in words is "three hundred thirty-four trillion, six hundred fifty-nine billion, nine hundred thirty-one million, thirty-nine thousand, one hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 47 63 91 117 131 141 273 329 393 423 611 819 917 987 1179 1703 1833 2751 2961 4277 5109 5499 6157 8253 11921 12831 15327 18471 35763 38493 43099 55413 80041 107289 129297 240123 387891 560287 720369 1680861 5042583 66366767 199100301 464567369 597300903 862767971 1393702107 2588303913 3119238049 4181106321 6039375797 7764911739 8694046477 9357714147 18118127391 21834666343 26082139431 28073142441 40550094637 54354382173 60858325339 65503999029 78246418293 113022604201 121650283911 182574976017 196511997087 283850662459 339067812603 364950851733 408620184419 547724928051 791158229407 851551987377 1017203437809 1225860553257 2373474688221 2554655962131 2860341290933 3677581659771 5312062397447 7120424064663 8581023872799 15936187192341 25743071618397 37184436782129 47808561577023 111553310346387 334659931039161