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340442412010101 = 324147971931104801
BaseRepresentation
bin100110101101000010110110…
…1000010001100101001110101
31122122101222101001010022111100
41031122011231002030221311
5324110302024433310401
63204021030205200313
7131465103223553052
oct11532055502145165
91578358331108440
10340442412010101
11995258a829a905
123222402ab60099
13117c6773cc257b
14600d701b4a029
152955a4d5a5b86
hex135a16d08ca75

340442412010101 has 96 divisors (see below), whose sum is σ = 520039878898176. Its totient is φ = 214367477760000.

The previous prime is 340442412010073. The next prime is 340442412010111. The reversal of 340442412010101 is 101010214244043.

340442412010101 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 424 + 120 + 10 + 101 = 666.

It is not a de Polignac number, because 340442412010101 - 223 = 340442403621493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340442412010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3248412901 + ... + 3248517701.

It is an arithmetic number, because the mean of its divisors is an integer number (5417082071856).

Almost surely, 2340442412010101 is an apocalyptic number.

It is an amenable number.

340442412010101 is a deficient number, since it is larger than the sum of its proper divisors (179597466888075).

340442412010101 is a wasteful number, since it uses less digits than its factorization.

340442412010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106923 (or 106920 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 340442412010101 its reverse (101010214244043), we get a palindrome (441452626254144).

The spelling of 340442412010101 in words is "three hundred forty trillion, four hundred forty-two billion, four hundred twelve million, ten thousand, one hundred one".

Divisors: 1 3 9 41 47 97 123 141 291 369 423 873 1927 1931 3977 4559 5781 5793 11931 13677 17343 17379 35793 41031 79171 90757 104801 186919 187307 237513 272271 314403 560757 561921 712539 816813 943209 1682271 1685763 3721037 4296841 4925647 7679587 8803429 10165697 11163111 12890523 14776941 23038761 26410287 30497091 33489333 38671569 44330823 69116283 79230861 91491273 201951527 202370731 360940589 416793577 477787759 605854581 607112193 1082821767 1250380731 1433363277 1817563743 1821336579 3248465301 3751142193 4300089831 8297199971 9511424357 19589298119 19629960907 24891599913 28534273071 58767894357 58889882721 74674799739 85602819213 176303683071 176669648163 389968398637 804828397187 922608162629 1169905195911 2414485191561 2767824487887 3509715587733 7243455574683 8303473463661 37826934667789 113480804003367 340442412010101