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14148000153 = 3272191799433
BaseRepresentation
bin11010010110100100…
…10101100110011001
31100111222221212121200
431023102111212121
5212433342001103
610255520424413
71010413005600
oct151322254631
940458855550
1014148000153
1160001a4a11
1228aa178109
13144618a731
14983000a37
1557c11a0a3
hex34b495999

14148000153 has 72 divisors (see below), whose sum is σ = 25166138400. Its totient is φ = 7615472256.

The previous prime is 14148000073. The next prime is 14148000197. The reversal of 14148000153 is 35100084141.

It is a happy number.

14148000153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14148000153 - 216 = 14147934617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14148000353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1495125 + ... + 1504557.

It is an arithmetic number, because the mean of its divisors is an integer number (349529700).

Almost surely, 214148000153 is an apocalyptic number.

It is an amenable number.

14148000153 is a deficient number, since it is larger than the sum of its proper divisors (11018138247).

14148000153 is a wasteful number, since it uses less digits than its factorization.

14148000153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 14148000153 its reverse (35100084141), we get a palindrome (49248084294).

The spelling of 14148000153 in words is "fourteen billion, one hundred forty-eight million, one hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 179 399 441 537 931 1197 1253 1611 2793 3401 3759 8379 8771 9433 10203 11277 23807 26313 28299 30609 66031 71421 78939 84897 166649 179227 198093 214263 462217 499947 537681 594279 1254589 1386651 1499841 1613043 1688507 3763767 4159953 5065521 8782123 11291301 11819549 15196563 26346369 32081633 35458647 79039107 82736843 96244899 106375941 224571431 248210529 288734697 673714293 744631587 1572000017 2021142879 4716000051 14148000153