Search a number
-
+
13233144032451 = 3271797250350891
BaseRepresentation
bin1100000010010001010011…
…0110010110110011000011
31201212002001120010111212100
43000210110312112303003
53213302434333014301
644051120014201443
72534030434233540
oct300442466266303
951762046114770
1013233144032451
114242165901052
1215988091b3283
1374cb598437c5
1433a6b7d2bbc7
1517e35777a286
hexc0914d96cc3

13233144032451 has 96 divisors (see below), whose sum is σ = 23378452651008. Its totient is φ = 7040661626880.

The previous prime is 13233144032431. The next prime is 13233144032467. The reversal of 13233144032451 is 15423044133231.

13233144032451 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 1 + 4 + 403 + 245 + 1 = 666.

It is not a de Polignac number, because 13233144032451 - 226 = 13233076923587 is a prime.

It is a super-2 number, since 2×132331440324512 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13233144032431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260003716 + ... + 260054606.

It is an arithmetic number, because the mean of its divisors is an integer number (243525548448).

Almost surely, 213233144032451 is an apocalyptic number.

13233144032451 is a deficient number, since it is larger than the sum of its proper divisors (10145308618557).

13233144032451 is a wasteful number, since it uses less digits than its factorization.

13233144032451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53521 (or 53518 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13233144032451 its reverse (15423044133231), we get a palindrome (28656188165682).

The spelling of 13233144032451 in words is "thirteen trillion, two hundred thirty-three billion, one hundred forty-four million, thirty-two thousand, four hundred fifty-one".

Divisors: 1 3 7 9 17 21 51 63 97 119 153 291 357 679 873 1071 1649 2037 2503 4947 6111 7509 11543 14841 17521 22527 34629 42551 50891 52563 103887 127653 152673 157689 242791 297857 356237 382959 458019 728373 865147 893571 1068711 1699537 2185119 2595441 2680713 3206133 4127447 4936427 5098611 6056029 7786323 12382341 14809281 15295833 18168087 28892129 34554989 37147023 44427843 54504261 83919259 86676387 103664967 127380173 251757777 260029161 310994901 382140519 587434813 755273331 891661211 1146421557 1762304439 2165462941 2674983633 5286913317 6496388823 8024950899 12355876781 15158240587 19489166469 37067630343 45474721761 86491137467 111202891029 136424165283 210049905277 259473412401 630149715831 778420237203 1470349336939 1890449147493 4411048010817 13233144032451