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214034310441 = 3373730606937
BaseRepresentation
bin1100011101010101110…
…0000110010100101001
3202110110102022112011000
43013111130012110221
512001320240413231
6242154230025213
721314653422660
oct3072534062451
9673412275130
10214034310441
1182853874376
12355937a8209
131724ca81c93
14a505d69dd7
15587a5d36e6
hex31d5706529

214034310441 has 32 divisors (see below), whose sum is σ = 372180366080. Its totient is φ = 118999767168.

The previous prime is 214034310439. The next prime is 214034310461. The reversal of 214034310441 is 144013430412.

214034310441 is a `hidden beast` number, since 214 + 0 + 3 + 4 + 3 + 1 + 0 + 441 = 666.

It is not a de Polignac number, because 214034310441 - 21 = 214034310439 is a prime.

It is a super-2 number, since 2×2140343104412 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214034310421) 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, 15296476 + ... + 15310461.

It is an arithmetic number, because the mean of its divisors is an integer number (11630636440).

Almost surely, 2214034310441 is an apocalyptic number.

214034310441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214034310441 is a deficient number, since it is larger than the sum of its proper divisors (158146055639).

214034310441 is a wasteful number, since it uses less digits than its factorization.

214034310441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30606990 (or 30606984 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214034310441 its reverse (144013430412), we get a palindrome (358047740853).

The spelling of 214034310441 in words is "two hundred fourteen billion, thirty-four million, three hundred ten thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 30606937 91820811 214248559 275462433 642745677 826387299 1132456669 1928237031 3397370007 5784711093 7927196683 10192110021 23781590049 30576330063 71344770147 214034310441