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41434232234130 = 23258927111908083
BaseRepresentation
bin10010110101111001010001…
…01100011010000010010010
312102201001222212220110221200
421122330220230122002102
520412324301422443010
6224042342402332030
711504344620635451
oct1132745054320222
9172631885813850
1041434232234130
11122251829a954a
12479229465a016
131a1730131a278
14a335db256b98
154bcbed300cc0
hex25af28b1a092

41434232234130 has 96 divisors (see below), whose sum is σ = 108979683396480. Its totient is φ = 10920945488640.

The previous prime is 41434232234099. The next prime is 41434232234137. The reversal of 41434232234130 is 3143223243414.

41434232234130 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 4 + 232 + 2 + 3 + 413 + 0 = 666.

It is a super-3 number, since 3×414342322341303 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (41434232234137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20761069 + ... + 22669151.

It is an arithmetic number, because the mean of its divisors is an integer number (1135205035380).

Almost surely, 241434232234130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41434232234130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54489841698240).

41434232234130 is an abundant number, since it is smaller than the sum of its proper divisors (67545451162350).

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

41434232234130 is a wasteful number, since it uses less digits than its factorization.

41434232234130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910896 (or 1910893 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 41434232234130 its reverse (3143223243414), we get a palindrome (44577455477544).

The spelling of 41434232234130 in words is "forty-one trillion, four hundred thirty-four billion, two hundred thirty-two million, two hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 2711 4005 5422 8010 8133 13555 16266 24399 27110 40665 48798 81330 121995 241279 243990 482558 723837 1206395 1447674 1908083 2171511 2412790 3619185 3816166 4343022 5724249 7238370 9540415 10857555 11448498 17172747 19080830 21715110 28621245 34345494 57242490 85863735 169819387 171727470 339638774 509458161 849096935 1018916322 1528374483 1698193870 2547290805 3056748966 5094581610 5172813013 7641872415 10345626026 15283744830 15518439039 25864065065 31036878078 46555317117 51728130130 77592195195 93110634234 155184390390 232776585585 460380358157 465553171170 920760716314 1381141074471 2301901790785 2762282148942 4143423223413 4603803581570 6905705372355 8286846446826 13811410744710 20717116117065 41434232234130