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30241114134 = 23711195875869
BaseRepresentation
bin11100001010100000…
…101100100000010110
32220001112222202210020
4130022200230200112
5443413211123014
621520444010010
72120255141340
oct341240544026
986045882706
1030241114134
1111909358710
125a3b830906
132b0c31609a
14166c490290
15bbeda51a9
hex70a82c816

30241114134 has 128 divisors (see below), whose sum is σ = 79523942400. Its totient is φ = 7427479680.

The previous prime is 30241114121. The next prime is 30241114151. The reversal of 30241114134 is 43141114203.

It is a super-2 number, since 2×302411141342 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5149752 + ... + 5155620.

It is an arithmetic number, because the mean of its divisors is an integer number (621280800).

Almost surely, 230241114134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30241114134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761971200).

30241114134 is an abundant number, since it is smaller than the sum of its proper divisors (49282828266).

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

30241114134 is a wasteful number, since it uses less digits than its factorization.

30241114134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 30241114134 its reverse (43141114203), we get a palindrome (73382228337).

The spelling of 30241114134 in words is "thirty billion, two hundred forty-one million, one hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 587 627 798 1174 1254 1463 1761 2926 3522 4109 4389 5869 6457 8218 8778 11153 11738 12327 12914 17607 19371 22306 24654 33459 35214 38742 41083 45199 64559 66918 78071 82166 90398 111511 122683 123249 129118 135597 156142 193677 223022 234213 245366 246498 271194 334533 368049 387354 451913 468426 669066 736098 780577 858781 903826 1226621 1355739 1561154 1717562 2341731 2453242 2576343 2711478 3445103 3679863 4683462 5152686 6890206 7359726 8586347 10335309 17172694 20670618 24115721 25759041 37896133 48231442 51518082 65456957 72347163 75792266 113688399 130913914 144694326 196370871 227376798 265272931 392741742 458198699 530545862 720026527 795818793 916397398 1374596097 1440053054 1591637586 2160079581 2749192194 4320159162 5040185689 10080371378 15120557067 30241114134