Search a number
-
+
242014003341135 = 353114891163330047
BaseRepresentation
bin110111000001110001000110…
…101100110010011101001111
31011201220022110000011100121020
4313001301012230302131033
5223210124134323404020
62214415410455005223
7101655635420332014
oct6701610654623517
91151808400140536
10242014003341135
1170127620659703
1223187b28069813
13a506a902c957c
1443a977c69570b
151cea51632bc40
hexdc1c46b3274f

242014003341135 has 64 divisors (see below), whose sum is σ = 400029591306240. Its totient is φ = 124811680112640.

The previous prime is 242014003341107. The next prime is 242014003341167. The reversal of 242014003341135 is 531143300410242.

It is not a de Polignac number, because 242014003341135 - 212 = 242014003337039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242014003341096 and 242014003341105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8054499682 + ... + 8054529728.

It is an arithmetic number, because the mean of its divisors is an integer number (6250462364160).

Almost surely, 2242014003341135 is an apocalyptic number.

242014003341135 is a deficient number, since it is larger than the sum of its proper divisors (158015587965105).

242014003341135 is a wasteful number, since it uses less digits than its factorization.

242014003341135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43208.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 242014003341135 its reverse (531143300410242), we get a palindrome (773157303751377).

The spelling of 242014003341135 in words is "two hundred forty-two trillion, fourteen billion, three million, three hundred forty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 15 31 93 155 465 1489 4467 7445 11633 22335 30047 34899 46159 58165 90141 138477 150235 174495 230795 360623 450705 692385 931457 1081869 1803115 2794371 4657285 5409345 13971855 17321537 44739983 51964611 86607685 134219949 223699915 259823055 349536751 536967647 671099745 1048610253 1386939473 1610902941 1747683755 2684838235 4160818419 5243051265 6934697365 8054514705 10835639281 20804092095 32506917843 54178196405 162534589215 520460222239 1561380666717 2602301111195 7806903333585 16134266889409 48402800668227 80671334447045 242014003341135