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11442410232232 = 2372473301188143
BaseRepresentation
bin1010011010000010010011…
…0011000001100110101000
31111111212212020120001212011
42212200210303001212220
52444433024004412412
640200323134125304
72260454410126300
oct246404463014650
944455766501764
1011442410232232
113711776300511
121349748050834
13650026273a65
142b7b5c06a600
1514c99b4827a7
hexa6824cc19a8

11442410232232 has 96 divisors (see below), whose sum is σ = 25496161067520. Its totient is φ = 4798072540800.

The previous prime is 11442410232119. The next prime is 11442410232251. The reversal of 11442410232232 is 23223201424411.

It is a junction number, because it is equal to n+sod(n) for n = 11442410232194 and 11442410232203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60723553 + ... + 60911695.

It is an arithmetic number, because the mean of its divisors is an integer number (265585011120).

Almost surely, 211442410232232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11442410232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748080533760).

11442410232232 is an abundant number, since it is smaller than the sum of its proper divisors (14053750835288).

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

11442410232232 is a wasteful number, since it uses less digits than its factorization.

11442410232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191511 (or 191500 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 11442410232232 its reverse (23223201424411), we get a palindrome (34665611656643).

The spelling of 11442410232232 in words is "eleven trillion, four hundred forty-two billion, four hundred ten million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 2303 2632 3301 4606 6602 9212 13204 18424 23107 26408 46214 92428 155147 161749 184856 188143 310294 323498 376286 620588 646996 752572 1086029 1241176 1293992 1317001 1505144 2172058 2634002 4344116 5268004 7602203 8688232 8842721 9219007 10536008 15204406 17685442 18438014 30408812 35370884 36876028 60817624 61899047 70741768 73752056 123798094 247596188 433293329 495192376 621060043 866586658 1242120086 1733173316 2484240172 3466346632 4347420301 4968480344 8694840602 17389681204 29189822021 30431942107 34779362408 58379644042 60863884214 116759288084 121727768428 204328754147 233518576168 243455536856 408657508294 817315016588 1430301279029 1634630033176 2860602558058 5721205116116 11442410232232