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15413314300153 = 7211294322931941
BaseRepresentation
bin1110000001001011000100…
…0111111010100011111001
32000120111110101010021110021
43200102301013322203321
54010012431430101103
652440440121250441
73150401203604200
oct340226107724371
960514411107407
1015413314300153
114a02828109720
12188b253933a21
1387a614096523
143b401905a237
151bae07d95bbd
hexe04b11fa8f9

15413314300153 has 48 divisors (see below), whose sum is σ = 20704791792960. Its totient is φ = 11326543804800.

The previous prime is 15413314300147. The next prime is 15413314300169. The reversal of 15413314300153 is 35100341331451.

15413314300153 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 15413314300153 - 25 = 15413314300121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15413314300123) 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, 10793838 + ... + 12138103.

It is an arithmetic number, because the mean of its divisors is an integer number (431349829020).

Almost surely, 215413314300153 is an apocalyptic number.

It is an amenable number.

15413314300153 is a deficient number, since it is larger than the sum of its proper divisors (5291477492807).

15413314300153 is a wasteful number, since it uses less digits than its factorization.

15413314300153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22932038 (or 22932031 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 15413314300153 in words is "fifteen trillion, four hundred thirteen billion, three hundred fourteen million, three hundred thousand, one hundred fifty-three".

Divisors: 1 7 11 29 43 49 77 203 301 319 473 539 1247 1421 2107 2233 3311 8729 13717 15631 23177 61103 96019 672133 22931941 160523587 252251351 665026289 986073463 1123665109 1765759457 4655184023 6902514241 7315289179 10846808093 12360316199 28596130427 32586288161 48317599687 51207024253 75927656651 200172912989 314557434697 358449169771 531493596557 1401210390923 2201902042879 15413314300153