Search a number
-
+
242535535242 = 2371113371091411
BaseRepresentation
bin1110000111100000111…
…1101001001010001010
3212012000201101202110120
43201320033221022022
512433203044111432
6303230322124110
723344154014560
oct3417017511212
9765021352416
10242535535242
1193949a94410
123b0087b0636
1319b42793440
14ba4b30da30
156497855c2c
hex38783e928a

242535535242 has 128 divisors (see below), whose sum is σ = 668887123968. Its totient is φ = 56578694400.

The previous prime is 242535535237. The next prime is 242535535303.

242535535242 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 242535535194 and 242535535203.

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, 323484 + ... + 767927.

It is an arithmetic number, because the mean of its divisors is an integer number (5225680656).

Almost surely, 2242535535242 is an apocalyptic number.

242535535242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242535535242 is an abundant number, since it is smaller than the sum of its proper divisors (426351588726).

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

242535535242 is a wasteful number, since it uses less digits than its factorization.

242535535242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091484.

The product of its digits is 1440000, while the sum is 42.

It can be divided in two parts, 242535 and 535242, that added together give a palindrome (777777).

The spelling of 242535535242 in words is "two hundred forty-two billion, five hundred thirty-five million, five hundred thirty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 1091411 2182822 3274233 6548466 7639877 12005521 14188343 15279754 22919631 24011042 28376686 36016563 40382207 42565029 45839262 72033126 80764414 84038647 85130058 99318401 121146621 156071773 168077294 198636802 242293242 252115941 282675449 297955203 312143546 444204277 468215319 504231882 524968691 565350898 595910406 848026347 888408554 936430638 1049937382 1092502411 1332612831 1574906073 1696052694 2185004822 2665225662 3109429939 3149812146 3277507233 3674780837 5774655601 6218859878 6555014466 7349561674 9328289817 11024342511 11549311202 17323966803 18656579634 22048685022 34647933606 40422589207 80845178414 121267767621 242535535242