Search a number
-
+
30251040345441 = 3327718439219361
BaseRepresentation
bin1101110000011010111101…
…00000111000110101100001
310222002222020000101122021000
412320031132200320311201
512431113112312023231
6144201045221022213
76241364660204106
oct670153640706541
9128088200348230
1030251040345441
1197034376a5223
123486a30254969
1313b5878bc3156
1476823000caad
15376d740e36e6
hex1b835e838d61

30251040345441 has 32 divisors (see below), whose sum is σ = 44980792313600. Its totient is φ = 20093372490240.

The previous prime is 30251040345391. The next prime is 30251040345469. The reversal of 30251040345441 is 14454304015203.

30251040345441 is a `hidden beast` number, since 3 + 0 + 2 + 5 + 104 + 0 + 3 + 4 + 544 + 1 = 666.

It is not a de Polignac number, because 30251040345441 - 225 = 30251006791009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30251040345396 and 30251040345405.

It is not an unprimeable number, because it can be changed into a prime (30251040345941) 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, 137795601 + ... + 138014961.

It is an arithmetic number, because the mean of its divisors is an integer number (1405649759800).

Almost surely, 230251040345441 is an apocalyptic number.

It is an amenable number.

30251040345441 is a deficient number, since it is larger than the sum of its proper divisors (14729751968159).

30251040345441 is a wasteful number, since it uses less digits than its factorization.

30251040345441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238086 (or 238080 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 30251040345441 in words is "thirty trillion, two hundred fifty-one billion, forty million, three hundred forty-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 277 831 2493 7479 18439 55317 165951 219361 497853 658083 1974249 5107603 5922747 15322809 45968427 60762997 137905281 182288991 546866973 1640600919 4044797479 12134392437 36403177311 109209531933 1120408901683 3361226705049 10083680115147 30251040345441