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342112310356230 = 23456112295633807
BaseRepresentation
bin100110111001001100011101…
…0101110110110100100000110
31122212022121200010110200110000
41031302120322232312210012
5324320132002422344410
63211340120430142130
7132026540655365601
oct11562307256664406
91585277603420400
10342112310356230
119a00a01a38a2a7
12324537a8651946
13118b808b29071b
14606a47774b338
1529841d63badc0
hex137263abb6906

342112310356230 has 160 divisors (see below), whose sum is σ = 935743283418240. Its totient is φ = 89661346433280.

The previous prime is 342112310356207. The next prime is 342112310356279. The reversal of 342112310356230 is 32653013211243.

342112310356230 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 1 + 23 + 1 + 0 + 3 + 5 + 623 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57907987 + ... + 63541793.

It is an arithmetic number, because the mean of its divisors is an integer number (5848395521364).

Almost surely, 2342112310356230 is an apocalyptic number.

342112310356230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342112310356230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467871641709120).

342112310356230 is an abundant number, since it is smaller than the sum of its proper divisors (593630973062010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342112310356230 is a wasteful number, since it uses less digits than its factorization.

342112310356230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635116 (or 5635107 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 342112310356230 its reverse (32653013211243), we get a palindrome (374765323567473).

The spelling of 342112310356230 in words is "three hundred forty-two trillion, one hundred twelve billion, three hundred ten million, three hundred fifty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 610 810 915 1098 1229 1647 1830 2458 2745 3294 3687 4941 5490 6145 7374 8235 9882 11061 12290 16470 18435 22122 24705 33183 36870 49410 55305 66366 74969 99549 110610 149938 165915 199098 224907 331830 374845 449814 497745 674721 749690 995490 1124535 1349442 2024163 2249070 3373605 4048326 5633807 6072489 6747210 10120815 11267614 12144978 16901421 20241630 28169035 30362445 33802842 50704263 56338070 60724890 84507105 101408526 152112789 169014210 253521315 304225578 343662227 456338367 507042630 687324454 760563945 912676734 1030986681 1521127890 1718311135 2061973362 2281691835 3092960043 3436622270 4563383670 5154933405 6185920086 6923948803 9278880129 10309866810 13847897606 15464800215 18557760258 20771846409 27836640387 30929600430 34619744015 41543692818 46394400645 55673280774 62315539227 69239488030 92788801290 103859232045 124631078454 139183201935 186946617681 207718464090 278366403870 311577696135 373893235362 422360876983 560839853043 623155392270 844721753966 934733088405 1121679706086 1267082630949 1869466176810 2111804384915 2534165261898 2804199265215 3801247892847 4223608769830 5608398530430 6335413154745 7602495785694 11403743678541 12670826309490 19006239464235 22807487357082 34211231035623 38012478928470 57018718392705 68422462071246 114037436785410 171056155178115 342112310356230