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13454432145 = 32571117228409
BaseRepresentation
bin11001000011111001…
…00101011110010001
31021201122212222011200
430201330211132101
5210023313312040
610103023101413
7654261533460
oct144174453621
937648788150
1013454432145
115784749010
122735a41869
131365590b6b
14918c5c9d7
1553b2b8630
hex321f25791

13454432145 has 96 divisors (see below), whose sum is σ = 30786013440. Its totient is φ = 5262520320.

The previous prime is 13454432143. The next prime is 13454432149. The reversal of 13454432145 is 54123445431.

13454432145 is a `hidden beast` number, since 1 + 34 + 54 + 432 + 145 = 666.

13454432145 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 13454432145 - 21 = 13454432143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13454432143) 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 95 ways as a sum of consecutive naturals, for example, 55300 + ... + 173109.

It is an arithmetic number, because the mean of its divisors is an integer number (320687640).

Almost surely, 213454432145 is an apocalyptic number.

13454432145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13454432145 is an abundant number, since it is smaller than the sum of its proper divisors (17331581295).

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

13454432145 is a wasteful number, since it uses less digits than its factorization.

13454432145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228455 (or 228452 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 13454432145 its reverse (54123445431), we get a palindrome (67577877576).

The spelling of 13454432145 in words is "thirteen billion, four hundred fifty-four million, four hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 51 55 63 77 85 99 105 119 153 165 187 231 255 315 357 385 495 561 595 693 765 935 1071 1155 1309 1683 1785 2805 3465 3927 5355 6545 8415 11781 19635 58905 228409 685227 1142045 1598863 2055681 2512499 3426135 3882953 4796589 7537497 7994315 10278405 11648859 12562495 14389767 17587493 19414765 22612491 23982945 27180671 34946577 37687485 42712483 52762479 58244295 71948835 81542013 87937465 113062455 128137449 135903355 158287437 174732885 213562415 244626039 263812395 298987381 384412347 407710065 640687245 791437185 896962143 1223130195 1494936905 1922061735 2690886429 4484810715 13454432145