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232314103132434 = 23416366116198221
BaseRepresentation
bin110100110100100111010111…
…100101111111000100010010
31010110120000022021122001110000
4310310213113211333010102
5220422213240400214214
62142031343045550430
766635066021052561
oct6464472745770422
91113500267561400
10232314103132434
1168027948890634
1222080043115416
139c8218386c46b
1441520c3a43bd8
151bcd05270a809
hexd349d797f112

232314103132434 has 160 divisors (see below), whose sum is σ = 524929463213760. Its totient is φ = 76789713052800.

The previous prime is 232314103132429. The next prime is 232314103132499. The reversal of 232314103132434 is 434231301413232.

232314103132434 is a `hidden beast` number, since 2 + 3 + 2 + 314 + 1 + 0 + 313 + 24 + 3 + 4 = 666.

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, 28258614444 + ... + 28258622664.

It is an arithmetic number, because the mean of its divisors is an integer number (3280809145086).

Almost surely, 2232314103132434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232314103132434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262464731606880).

232314103132434 is an abundant number, since it is smaller than the sum of its proper divisors (292615360081326).

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

232314103132434 is a wasteful number, since it uses less digits than its factorization.

232314103132434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 232314103132434 its reverse (434231301413232), we get a palindrome (666545404545666).

The spelling of 232314103132434 in words is "two hundred thirty-two trillion, three hundred fourteen billion, one hundred three million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 326 489 661 978 1322 1467 1619 1983 2934 3238 3966 4401 4857 5949 8221 8802 9714 11898 13203 14571 16442 17847 24663 26406 29142 35694 43713 49326 53541 73989 87426 107082 107743 131139 147978 215486 221967 262278 263897 323229 443934 527794 646458 665901 791691 969687 1070159 1331802 1340023 1583382 1939374 2140318 2375073 2680046 2909061 3210477 4020069 4750146 5434081 5818122 6420954 7125219 8040138 8727183 9631431 10868162 12060207 13309799 14250438 16302243 17454366 19262862 21375657 24120414 26619598 28894293 32604486 36180621 39929397 42751314 48906729 57788586 72361242 79858794 86682879 97813458 108541863 119788191 146720187 173365758 174435917 217083726 239576382 293440374 348871834 359364573 440160561 523307751 718729146 880321122 885755203 1046615502 1078093719 1569923253 1771510406 2156187438 2169497237 2657265609 3139846506 4338994474 4709769759 5314531218 6508491711 7971796827 8797777139 9419539518 13016983422 14129309277 15943593654 17595554278 19525475133 23915390481 26393331417 28258618554 39050950266 47830780962 52786662834 58576425399 71746171443 79179994251 117152850798 143492342886 158359988502 175729276197 237539982753 351458552394 475079965506 712619948259 1425239896518 1434037673657 2868075347314 4302113020971 8604226041942 12906339062913 25812678125826 38719017188739 77438034377478 116157051566217 232314103132434