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4102432314112 = 28111831795647
BaseRepresentation
bin111011101100101100000…
…001010101001100000000
3112112012002120011101212201
4323230230001111030000
51014203240133022422
612420344214002544
7602251045212316
oct73545401251400
915465076141781
104102432314112
111341917100320
125630b4346454
13239b1c4c91a2
141027b74320b6
1571aa8a00727
hex3bb2c055300

4102432314112 has 72 divisors (see below), whose sum is σ = 8938169597952. Its totient is φ = 1863721190400.

The previous prime is 4102432314083. The next prime is 4102432314121. The reversal of 4102432314112 is 2114132342014.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 4758273 + ... + 5553919.

It is an arithmetic number, because the mean of its divisors is an integer number (124141244416).

Almost surely, 24102432314112 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 4102432314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469084798976).

4102432314112 is an abundant number, since it is smaller than the sum of its proper divisors (4835737283840).

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

4102432314112 is a wasteful number, since it uses less digits than its factorization.

4102432314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797505 (or 797491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4102432314112 its reverse (2114132342014), we get a palindrome (6216564656126).

The spelling of 4102432314112 in words is "four trillion, one hundred two billion, four hundred thirty-two million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 1831 2816 3662 7324 14648 20141 29296 40282 58592 80564 117184 161128 234368 322256 468736 644512 795647 1289024 1591294 2578048 3182588 5156096 6365176 8752117 12730352 17504234 25460704 35008468 50921408 70016936 101842816 140033872 203685632 280067744 560135488 1120270976 1456829657 2240541952 2913659314 5827318628 11654637256 16025126227 23309274512 32050252454 46618549024 64100504908 93237098048 128201009816 186474196096 256402019632 372948392192 512804039264 1025608078528 2051216157056 4102432314112