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30024035534241 = 36719309663413
BaseRepresentation
bin1101101001110100000111…
…11110010000010110100001
310221022021021122210102000000
412310322003332100112201
512413403211044043431
6143504503532050213
76216110406145110
oct664720376202641
9127267248712000
1030024035534241
119626138374741
12344aa38903969
13139a33cbca568
1475b2575d5c77
15370ed9e889e6
hex1b4e83f905a1

30024035534241 has 56 divisors (see below), whose sum is σ = 54153937840320. Its totient is φ = 16253613169056.

The previous prime is 30024035534239. The next prime is 30024035534243. The reversal of 30024035534241 is 14243553042003.

30024035534241 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 403 + 5 + 5 + 3 + 4 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (30024035534239) and next prime (30024035534243).

It is not a de Polignac number, because 30024035534241 - 21 = 30024035534239 is a prime.

It is a super-2 number, since 2×300240355342412 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30024035534196 and 30024035534205.

It is not an unprimeable number, because it can be changed into a prime (30024035534243) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 154734750 + ... + 154928663.

Almost surely, 230024035534241 is an apocalyptic number.

It is an amenable number.

30024035534241 is a deficient number, since it is larger than the sum of its proper divisors (24129902306079).

30024035534241 is an equidigital number, since it uses as much as digits as its factorization.

30024035534241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309663457 (or 309663442 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 30024035534241 its reverse (14243553042003), we get a palindrome (44267588576244).

The spelling of 30024035534241 in words is "thirty trillion, twenty-four billion, thirty-five million, five hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 243 399 513 567 729 1197 1539 1701 3591 4617 5103 10773 13851 32319 96957 309663413 928990239 2167643891 2786970717 5883604847 6502931673 8360912151 17650814541 19508795019 25082736453 41185233929 52952443623 58526385057 75248209359 123555701787 158857330869 175579155171 225744628077 370667105361 476571992607 526737465513 1112001316083 1429715977821 1580212396539 3336003948249 4289147933463 10008011844747 30024035534241