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21434301441 = 32715713991549
BaseRepresentation
bin10011111101100101…
…010111110000000001
32001022210102022221100
4103331211113300001
5322344140121231
613502523245013
71356106361520
oct237545276001
961283368840
1021434301441
1190aa116a13
1241a2379769
1320378a6207
1410749a64b7
15856b391e6
hex4fd957c01

21434301441 has 48 divisors (see below), whose sum is σ = 35657440000. Its totient is φ = 12153608064.

The previous prime is 21434301419. The next prime is 21434301463. The reversal of 21434301441 is 14410343412.

21434301441 is a `hidden beast` number, since 214 + 3 + 4 + 3 + 0 + 1 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (21434301419) and next prime (21434301463).

It is not a de Polignac number, because 21434301441 - 26 = 21434301377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21434301241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13836735 + ... + 13838283.

Almost surely, 221434301441 is an apocalyptic number.

21434301441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21434301441 is a deficient number, since it is larger than the sum of its proper divisors (14223138559).

21434301441 is a wasteful number, since it uses less digits than its factorization.

21434301441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3115 counting only the distinct ones).

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

Adding to 21434301441 its reverse (14410343412), we get a palindrome (35844644853).

The spelling of 21434301441 in words is "twenty-one billion, four hundred thirty-four million, three hundred one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 157 471 1099 1399 1413 1549 3297 4197 4647 9793 9891 10843 12591 13941 29379 32529 88137 97587 219643 243193 658929 729579 1537501 1702351 1976787 2167051 2188737 4612503 5107053 6501153 13837509 15169357 15321159 19503459 45508071 136524213 340227007 1020681021 2381589049 3062043063 7144767147 21434301441