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242252252242 = 2711133110337897
BaseRepresentation
bin1110000110011101011…
…1000000010001010010
3212011021222100111020121
43201213113000101102
512432113034032432
6303142242300454
723334144111610
oct3414727002122
9764258314217
10242252252242
1193814098730
123ab4995772a
1319ac8b99670
14ba2184c6b0
15647ca4a197
hex38675c0452

242252252242 has 128 divisors (see below), whose sum is σ = 508534161408. Its totient is φ = 83492467200.

The previous prime is 242252252227. The next prime is 242252252293.

242252252242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242252252198 and 242252252207.

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, 6373438 + ... + 6411334.

It is an arithmetic number, because the mean of its divisors is an integer number (3972923136).

Almost surely, 2242252252242 is an apocalyptic number.

242252252242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242252252242 is an abundant number, since it is smaller than the sum of its proper divisors (266281909166).

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

242252252242 is a wasteful number, since it uses less digits than its factorization.

242252252242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38064.

The product of its digits is 102400, while the sum is 34.

It can be divided in two parts, 242252 and 252242, that added together give a palindrome (494494).

The spelling of 242252252242 in words is "two hundred forty-two billion, two hundred fifty-two million, two hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 103 143 154 182 206 217 286 341 403 434 682 721 806 1001 1133 1339 1442 2002 2266 2387 2678 2821 3193 4433 4774 5642 6386 7931 8866 9373 14729 15862 18746 22351 29458 31031 35123 37897 41509 44702 62062 70246 75794 83018 103103 206206 245861 265279 290563 416867 456599 491722 492661 530558 581126 833734 913198 985322 1174807 2349614 2918069 3196193 3448627 3903391 5419271 5836138 6392386 6897254 7806782 8223649 10838542 12922877 15272491 16447298 25845754 27323737 30544982 37934897 42937301 50744083 54647474 75869794 85874602 90460139 101488166 106907437 121005121 167997401 180920278 213814874 242010242 300561107 335994802 355208581 558184913 601122214 710417162 847035847 1116369826 1175981807 1331056331 1573066573 1694071694 2351963614 2662112662 3146133146 3907294391 7814588782 9317394317 11011466011 17303732303 18634788634 22022932022 34607464606 121126126121 242252252242