Search a number
-
+
535414533511143 = 3111317701355729443
BaseRepresentation
bin111100110111101001110100…
…1000100111101011111100111
32121012202010111102022202121010
41321233103221010331133213
51030134212431034324033
65134422012513153303
7220530265160124006
oct17157235104753747
92535663442282533
10535414533511143
11145666034a36810
1250072b0bb5b833
1319c9a4b2500660
1496302b7624c3d
1541d75626ac863
hex1e6f4e913d7e7

535414533511143 has 128 divisors (see below), whose sum is σ = 889573102838784. Its totient is φ = 281422181376000.

The previous prime is 535414533511139. The next prime is 535414533511181. The reversal of 535414533511143 is 341115335414535.

It is a happy number.

It is not a de Polignac number, because 535414533511143 - 22 = 535414533511139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 535414533511092 and 535414533511101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535414533511183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18184767180 + ... + 18184796622.

It is an arithmetic number, because the mean of its divisors is an integer number (6949789865928).

Almost surely, 2535414533511143 is an apocalyptic number.

535414533511143 is a deficient number, since it is larger than the sum of its proper divisors (354158569327641).

535414533511143 is a wasteful number, since it uses less digits than its factorization.

535414533511143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33745.

The product of its digits is 3240000, while the sum is 48.

Adding to 535414533511143 its reverse (341115335414535), we get a palindrome (876529868925678).

The spelling of 535414533511143 in words is "five hundred thirty-five trillion, four hundred fourteen billion, five hundred thirty-three million, five hundred eleven thousand, one hundred forty-three".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 561 663 701 2103 2431 3557 7293 7711 9113 10671 11917 23133 27339 29443 35751 39127 46241 60469 88329 100243 117381 131087 138723 154921 181407 300729 323873 382759 393261 464763 500531 508651 665159 786097 971619 1148277 1501593 1525953 1704131 1995477 2358291 2493457 4210349 5112393 5505841 6506903 7480371 8647067 12631047 16517523 19520709 20639543 25941201 27428027 32414941 42388769 61918629 71575933 82284081 97244823 104728751 127166307 214727799 227034973 268314059 314186253 350872231 356564351 466276459 551053997 681104919 804942177 1052616693 1069693053 1152016261 1361473763 1398829377 1653161991 1780388767 2951454649 3456048783 3859594541 4084421289 4561339003 5341166301 6061593967 8854363947 11578783623 13684017009 14976211393 18184781901 19584276437 23145053971 44928634179 50174729033 58752829311 69435161913 73414854451 150524187099 220244563353 254595593681 763786781043 807563398961 954393107863 1248052525667 2422690196883 2863179323589 3744157577001 10498324186493 13728577782337 16224682833671 31494972559479 41185733347011 48674048501013 178471511170381 535414533511143