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11342403441432 = 233272832280997
BaseRepresentation
bin1010010100001101101111…
…1011011001001100011000
31111011022201121010201101100
42211003123323121030120
52441313220240111212
640042343405351400
72250314221335450
oct245033373311430
944138647121340
1011342403441432
113683317057388
121332297b68560
136437792273bb
142b2d9215cd60
1514a096855bdc
hexa50dbed9318

11342403441432 has 144 divisors (see below), whose sum is σ = 35232057516240. Its totient is φ = 3229224015744.

The previous prime is 11342403441419. The next prime is 11342403441443. The reversal of 11342403441432 is 23414430424311.

11342403441432 is a `hidden beast` number, since 1 + 1 + 34 + 240 + 344 + 1 + 43 + 2 = 666.

11342403441432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40224358 + ... + 40505354.

It is an arithmetic number, because the mean of its divisors is an integer number (244667066085).

Almost surely, 211342403441432 is an apocalyptic number.

11342403441432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11342403441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616028758120).

11342403441432 is an abundant number, since it is smaller than the sum of its proper divisors (23889654074808).

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

11342403441432 is a wasteful number, since it uses less digits than its factorization.

11342403441432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281582 (or 281292 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 11342403441432 its reverse (23414430424311), we get a palindrome (34756833865743).

The spelling of 11342403441432 in words is "eleven trillion, three hundred forty-two billion, four hundred three million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 283 504 566 849 1132 1698 1981 2264 2547 3396 3962 5094 5943 6792 7924 10188 11886 15848 17829 20376 23772 35658 47544 71316 80089 142632 160178 240267 280997 320356 480534 560623 561994 640712 720801 842991 961068 1121246 1123988 1441602 1681869 1685982 1922136 1966979 2242492 2247976 2528973 2883204 3363738 3371964 3933958 4484984 5045607 5057946 5766408 5900937 6727476 6743928 7867916 10091214 10115892 11801874 13454952 15735832 17702811 20182428 20231784 23603748 35405622 40364856 47207496 70811244 79522151 141622488 159044302 238566453 318088604 477132906 556655057 636177208 715699359 954265812 1113310114 1431398718 1669965171 1908531624 2226620228 2862797436 3339930342 4453240456 5009895513 5725594872 6679860684 10019791026 13359721368 20039582052 22504768733 40079164104 45009537466 67514306199 90019074932 135028612398 157533381131 180038149864 202542918597 270057224796 315066762262 405085837194 472600143393 540114449592 630133524524 810171674388 945200286786 1260267049048 1417800430179 1620343348776 1890400573572 2835600860358 3780801147144 5671201720716 11342403441432