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12342402433040 = 245918116804273
BaseRepresentation
bin1011001110011011000010…
…0000110100000000010000
31121200220220020122220121112
42303212300200310000100
53104204220010324130
642130004342312452
72412465144454541
oct263466040640020
947626806586545
1012342402433040
113a29424453699
121474059728728
136b6b6422bc54
143095383c24c8
151660c2e6d495
hexb39b0834010

12342402433040 has 40 divisors (see below), whose sum is σ = 28699212959448. Its totient is φ = 4936422942720.

The previous prime is 12342402433037. The next prime is 12342402433057. The reversal of 12342402433040 is 4033420424321.

It can be written as a sum of positive squares in 4 ways, for example, as 145768185616 + 12196634247424 = 381796^2 + 3492368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×123424024330402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12342402432988 and 12342402433006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7667657 + ... + 9136616.

Almost surely, 212342402433040 is an apocalyptic number.

12342402433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342402433040 is an abundant number, since it is smaller than the sum of its proper divisors (16356810526408).

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

12342402433040 is a wasteful number, since it uses less digits than its factorization.

12342402433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16813467 (or 16813461 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12342402433040 its reverse (4033420424321), we get a palindrome (16375822857361).

The spelling of 12342402433040 in words is "twelve trillion, three hundred forty-two billion, four hundred two million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9181 18362 36724 45905 73448 91810 146896 183620 367240 734480 16804273 33608546 67217092 84021365 134434184 168042730 268868368 336085460 672170920 1344341840 154280030413 308560060826 617120121652 771400152065 1234240243304 1542800304130 2468480486608 3085600608260 6171201216520 12342402433040