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33024147114 = 23721914714019
BaseRepresentation
bin11110110000011001…
…000111111010101010
310011020111202111022210
4132300121013322222
51020113140201424
623100542025550
72246240422200
oct366031077252
9104214674283
1033024147114
11130072a7572
1264978782b6
133163a8256a
141853d39070
15cd438c729
hex7b0647eaa

33024147114 has 96 divisors (see below), whose sum is σ = 80950579200. Its totient is φ = 8930567520.

The previous prime is 33024147089. The next prime is 33024147127. The reversal of 33024147114 is 41174142033.

It is a super-2 number, since 2×330241471142 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8214997 + ... + 8219015.

It is an arithmetic number, because the mean of its divisors is an integer number (843235200).

Almost surely, 233024147114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33024147114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40475289600).

33024147114 is an abundant number, since it is smaller than the sum of its proper divisors (47926432086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33024147114 is a wasteful number, since it uses less digits than its factorization.

33024147114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 33024147114 its reverse (41174142033), we get a palindrome (74198289147).

The spelling of 33024147114 in words is "thirty-three billion, twenty-four million, one hundred forty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1471 1862 2793 2942 4019 4413 5586 8038 8826 10297 12057 20594 24114 27949 28133 30891 55898 56266 61782 72079 76361 83847 84399 144158 152722 167694 168798 195643 196931 216237 229083 391286 393862 432474 458166 534527 586929 590793 1069054 1173858 1181586 1369501 1603581 2739002 3207162 3741689 4108503 5911949 7483378 8217006 11225067 11823898 17735847 22450134 35471694 41383643 82767286 112327031 124150929 224654062 248301858 289685501 336981093 579371002 673962186 786289217 869056503 1572578434 1738113006 2358867651 4717735302 5504024519 11008049038 16512073557 33024147114