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230411334132 = 22347103986333
BaseRepresentation
bin1101011010010110010…
…1011111000111110100
3211000201202120112020000
43112211211133013310
512233340300143012
6253503254311300
722434544011510
oct3264545370764
9730652515200
10230411334132
11897982116a1
12387a4358530
131895c993745
14b21b001140
155ed824eddc
hex35a595f1f4

230411334132 has 120 divisors (see below), whose sum is σ = 695073515136. Its totient is φ = 65192599872.

The previous prime is 230411334119. The next prime is 230411334133. The reversal of 230411334132 is 231433114032.

It is a happy number.

230411334132 is a `hidden beast` number, since 2 + 304 + 1 + 13 + 341 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230411334096 and 230411334105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230411334133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259563 + ... + 726770.

Almost surely, 2230411334132 is an apocalyptic number.

It is an amenable number.

230411334132 is an abundant number, since it is smaller than the sum of its proper divisors (464662181004).

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

230411334132 is a wasteful number, since it uses less digits than its factorization.

230411334132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986459 (or 986448 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 230411334132 its reverse (231433114032), we get a palindrome (461844448164).

The spelling of 230411334132 in words is "two hundred thirty billion, four hundred eleven million, three hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 103 108 126 162 189 206 252 309 324 378 412 567 618 721 756 927 1134 1236 1442 1854 2163 2268 2781 2884 3708 4326 5562 6489 8343 8652 11124 12978 16686 19467 25956 33372 38934 58401 77868 116802 233604 986333 1972666 2958999 3945332 5917998 6904331 8876997 11835996 13808662 17753994 20712993 26630991 27617324 35507988 41425986 53261982 62138979 79892973 82851972 101592299 106523964 124277958 159785946 186416937 203184598 248555916 304776897 319571892 372833874 406369196 559250811 609553794 711146093 745667748 914330691 1118501622 1219107588 1422292186 1828661382 2133438279 2237003244 2742992073 2844584372 3657322764 4266876558 5485984146 6400314837 8228976219 8533753116 10971968292 12800629674 16457952438 19200944511 25601259348 32915904876 38401889022 57602833533 76803778044 115205667066 230411334132