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344121430240412 = 2211337569160925349
BaseRepresentation
bin100111000111110100000001…
…1100110111110110010011100
31200010102200120010222122121022
41032033220003212332302130
5330101041142120143122
63215515111434023312
7132324644560544366
oct11617500346766234
91603380503878538
10344121430240412
119a714096164050
1232719056877b38
1311a0268608b366
1460d97cd4dbd36
1529bb5c4d56642
hex138fa039bec9c

344121430240412 has 96 divisors (see below), whose sum is σ = 660502828440000. Its totient is φ = 155577701744640.

The previous prime is 344121430240349. The next prime is 344121430240417. The reversal of 344121430240412 is 214042034121443.

It is a super-2 number, since 2×3441214302404122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344121430240417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13575332714 + ... + 13575358062.

It is an arithmetic number, because the mean of its divisors is an integer number (6880237796250).

Almost surely, 2344121430240412 is an apocalyptic number.

It is an amenable number.

344121430240412 is a deficient number, since it is larger than the sum of its proper divisors (316381398199588).

344121430240412 is a wasteful number, since it uses less digits than its factorization.

344121430240412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27879 (or 27877 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 344121430240412 its reverse (214042034121443), we get a palindrome (558163464361855).

The spelling of 344121430240412 in words is "three hundred forty-four trillion, one hundred twenty-one billion, four hundred thirty million, two hundred forty thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 337 569 674 1138 1348 1609 2276 3218 3707 6259 6436 7414 12518 14828 17699 25036 25349 35398 50698 70796 101396 191753 278839 383506 542233 557678 767012 915521 1084466 1115356 1831042 2109283 2168932 3662084 4218566 5964563 8437132 8542613 10070731 11929126 14423581 17085226 20141462 23858252 28847162 34170452 40282924 40786541 57694324 81573082 93968743 158659391 163146164 187937486 308530577 317318782 375874972 448651951 617061154 634637564 897303902 1234122308 1794607804 3393836347 4860746797 6787672694 9721493594 13575345388 13745064317 19442987188 23207541829 27490128634 46415083658 53468214767 54980257268 92830167316 106936429534 151195707487 213872859068 255282960119 302391414974 510565920238 604782829948 1021131840476 7820941596373 15641883192746 31283766385492 86030357560103 172060715120206 344121430240412