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2412520252142 = 2711213243744953
BaseRepresentation
bin100011000110110101011…
…010011010001011101110
322112122010200110221002012
4203012311122122023232
5304011320141032032
65044144013401222
7336204333535640
oct43066532321356
98478120427065
102412520252142
11850164873a00
1232b690199212
13146665a60420
1484aa37b8890
1542b4db606b2
hex231b569a2ee

2412520252142 has 96 divisors (see below), whose sum is σ = 4897708810176. Its totient is φ = 867264330240.

The previous prime is 2412520252139. The next prime is 2412520252189.

2412520252142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2412520252099 and 2412520252108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53645138 + ... + 53690090.

It is an arithmetic number, because the mean of its divisors is an integer number (51017800106).

Almost surely, 22412520252142 is an apocalyptic number.

2412520252142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2412520252142 is an abundant number, since it is smaller than the sum of its proper divisors (2485188558034).

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

2412520252142 is a wasteful number, since it uses less digits than its factorization.

2412520252142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47434 (or 47423 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 2412520 and 252142, that added together give a palindrome (2664662).

The spelling of 2412520252142 in words is "two trillion, four hundred twelve billion, five hundred twenty million, two hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 2437 3146 4874 11011 17059 22022 26807 31681 34118 44953 53614 63362 89906 187649 221767 294877 314671 348491 375298 443534 494483 584389 589754 629342 696982 988966 1168778 2064139 2439437 3461381 3833401 4090723 4128278 4878874 5439313 6428279 6922762 7666802 8181446 10878626 12856558 26833807 38075191 44997953 53667614 70711069 76150382 89995906 109550461 141422138 219100922 494977483 766853227 989954966 1205055071 1424155993 1533706454 2410110142 2848311986 8435385497 9969091951 13255605781 15665715923 16870770994 19938183902 26511211562 31331431846 92789240467 109660011461 172322875153 185578480934 219320022922 344645750306 1206260126071 2412520252142