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344032130111241 = 311213835657155269
BaseRepresentation
bin100111000111001010011100…
…0111010000001011100001001
31200010010011001200001001202210
41032032110320322001130021
5330043110300302024431
63215410102334215333
7132315333620143515
oct11616247072013411
91603104050031683
10344032130111241
119a68a230604300
1232703894354549
13119c7124261740
1460d535b543145
1529b90ea173d46
hex138e538e81709

344032130111241 has 96 divisors (see below), whose sum is σ = 549628760661120. Its totient is φ = 190111828515840.

The previous prime is 344032130111161. The next prime is 344032130111251. The reversal of 344032130111241 is 142111031230443.

It is not a de Polignac number, because 344032130111241 - 217 = 344032129980169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344032130111199 and 344032130111208.

It is not an unprimeable number, because it can be changed into a prime (344032130111251) 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, 2215639155 + ... + 2215794423.

It is an arithmetic number, because the mean of its divisors is an integer number (5725299590220).

Almost surely, 2344032130111241 is an apocalyptic number.

It is an amenable number.

344032130111241 is a deficient number, since it is larger than the sum of its proper divisors (205596630549879).

344032130111241 is a wasteful number, since it uses less digits than its factorization.

344032130111241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161047 (or 161036 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 344032130111241 its reverse (142111031230443), we get a palindrome (486143161341684).

The spelling of 344032130111241 in words is "three hundred forty-four trillion, thirty-two billion, one hundred thirty million, one hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 11 13 33 39 83 121 143 249 363 429 913 1079 1573 2739 3237 4719 5657 10043 11869 16971 30129 35607 62227 73541 130559 155269 186681 220623 391677 465807 469531 684497 808951 1408593 1707959 2018497 2053491 2426853 5123877 5164841 6055491 6103903 8898461 12887327 15494523 18311709 18787549 22203467 26695383 38661981 56362647 56813251 66610401 67142933 141760597 167535251 170439753 201428799 244238137 425281791 502605753 732714411 738572263 878356733 1559366567 1842887761 2215716789 2635070199 4678099701 5528663283 9661924063 11418637529 20271765371 28985772189 34255912587 60815296113 72903608839 106281164693 125605012819 218710826517 318843494079 376815038457 801939697229 947746914907 1381655141009 2405819091687 2843240744721 4144965423027 8821336669519 10425216063977 26464010008557 31275648191931 114677376703747 344032130111241