Search a number
-
+
243104345253 = 347112910191319
BaseRepresentation
bin1110001001101000100…
…1011110110010100101
3212020111100201022010000
43202122021132302211
512440334203022003
6303403001451513
723364231561030
oct3423211366245
9766440638100
10243104345253
1194111079830
123b1471a0b99
1319c0358b503
14baa2a98017
1564cc7621a3
hex389a25eca5

243104345253 has 160 divisors (see below), whose sum is σ = 469193472000. Its totient is φ = 121721201280.

The previous prime is 243104345227. The next prime is 243104345329. The reversal of 243104345253 is 352543401342.

243104345253 is a `hidden beast` number, since 24 + 3 + 104 + 3 + 4 + 525 + 3 = 666.

243104345253 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 243104345253 - 210 = 243104344229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243104345213) 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 159 ways as a sum of consecutive naturals, for example, 184308928 + ... + 184310246.

It is an arithmetic number, because the mean of its divisors is an integer number (2932459200).

Almost surely, 2243104345253 is an apocalyptic number.

It is an amenable number.

243104345253 is a deficient number, since it is larger than the sum of its proper divisors (226089126747).

243104345253 is a wasteful number, since it uses less digits than its factorization.

243104345253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 243104345253 its reverse (352543401342), we get a palindrome (595647746595).

The spelling of 243104345253 in words is "two hundred forty-three billion, one hundred four million, three hundred forty-five thousand, two hundred fifty-three".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 81 87 99 189 203 231 261 297 319 567 609 693 783 891 957 1019 1319 1827 2079 2233 2349 2871 3057 3957 5481 6237 6699 7133 8613 9171 9233 11209 11871 14509 16443 20097 21399 25839 27513 27699 29551 33627 35613 38251 43527 60291 64197 78463 82539 83097 88653 100881 101563 106839 114753 130581 180873 192591 206857 235389 249291 265959 267757 302643 304689 325061 344259 391743 420761 577773 620571 706167 747873 797877 803271 907929 914067 975183 1032777 1175229 1262283 1344061 1861713 2118501 2275427 2393631 2409813 2742201 2925549 2945327 3098331 3786849 4032183 5585139 6355503 6826281 7229439 8226603 8776647 8835981 9408427 11360547 12096549 14784671 16755417 20478843 21688317 26329941 26507943 28225281 34081641 36289647 38977769 44354013 61436529 79523829 84675843 103492697 108868941 116933307 133062039 184309587 238571487 254027529 272844383 310478091 350799921 399186117 428755459 762082587 818533149 931434273 1052399763 1197558351 1286266377 2455599447 2794302819 3001288213 3157199289 3858799131 7366798341 8382908457 9003864639 11576397393 22100395023 27011593917 34729192179 81034781751 243104345253