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13235135440314 = 23171923296925011
BaseRepresentation
bin1100000010011000101110…
…0010111110010110111010
31201212021012100022111220010
43000212023202332112322
53213321024133042224
644052045353042350
72534130665021424
oct300461342762672
951767170274803
1013235135440314
114242a97a0a277
1215990840b63b6
137500b62a0058
1433a8265cb814
1517e4224e1e29
hexc098b8be5ba

13235135440314 has 64 divisors (see below), whose sum is σ = 30785185244160. Its totient is φ = 3762633726720.

The previous prime is 13235135440313. The next prime is 13235135440369. The reversal of 13235135440314 is 41304453153231.

13235135440314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13235135440313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148417932 + ... + 148507079.

It is an arithmetic number, because the mean of its divisors is an integer number (481018519440).

Almost surely, 213235135440314 is an apocalyptic number.

13235135440314 is an abundant number, since it is smaller than the sum of its proper divisors (17550049803846).

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

13235135440314 is a wasteful number, since it uses less digits than its factorization.

13235135440314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296925075.

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 13235135440314 its reverse (41304453153231), we get a palindrome (54539588593545).

The spelling of 13235135440314 in words is "thirteen trillion, two hundred thirty-five billion, one hundred thirty-five million, four hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 19 23 34 38 46 51 57 69 102 114 138 323 391 437 646 782 874 969 1173 1311 1938 2346 2622 7429 14858 22287 44574 296925011 593850022 890775033 1781550066 5047725187 5641575209 6829275253 10095450374 11283150418 13658550506 15143175561 16924725627 20487825759 30286351122 33849451254 40975651518 95906778553 116097679301 129756229807 191813557106 232195358602 259512459614 287720335659 348293037903 389268689421 575440671318 696586075806 778537378842 2205855906719 4411711813438 6617567720157 13235135440314