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230214411441 = 3373242937561
BaseRepresentation
bin1101011001100111011…
…0010010010010110001
3211000020001000211002000
43112121312102102301
512232434342131231
6253431541444213
722426633132050
oct3263166222261
9730201024060
10230214411441
11896a7040773
123874a410669
131892ac46041
14b1dcbc0397
155ec5d026e6
hex3599d924b1

230214411441 has 32 divisors (see below), whose sum is σ = 389803411200. Its totient is φ = 131543533440.

The previous prime is 230214411433. The next prime is 230214411463. The reversal of 230214411441 is 144114412032.

230214411441 is a `hidden beast` number, since 2 + 3 + 0 + 214 + 4 + 1 + 1 + 441 = 666.

230214411441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230214411441 - 23 = 230214411433 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (230214411421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6110301 + ... + 6147861.

It is an arithmetic number, because the mean of its divisors is an integer number (12181356600).

Almost surely, 2230214411441 is an apocalyptic number.

230214411441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230214411441 is a deficient number, since it is larger than the sum of its proper divisors (159588999759).

230214411441 is a wasteful number, since it uses less digits than its factorization.

230214411441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70006 (or 70000 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 230214411441 its reverse (144114412032), we get a palindrome (374328823473).

The spelling of 230214411441 in words is "two hundred thirty billion, two hundred fourteen million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 32429 37561 97287 112683 227003 262927 291861 338049 681009 788781 875583 1014147 2043027 2366343 6129081 7099029 1218065669 3654197007 8526459683 10962591021 25579379049 32887773063 76738137147 230214411441