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4440202112 = 2719107113151
BaseRepresentation
bin1000010001010100…
…00001101110000000
3102110110000122020002
410020222001232000
533043142431422
62012332535132
7215014044443
oct41052015600
912413018202
104440202112
111979418625
12a3b0214a8
13559b9a838
143019c165a
151aec2a692
hex108a81b80

4440202112 has 128 divisors (see below), whose sum is σ = 9544262400. Its totient is φ = 2051481600.

The previous prime is 4440202099. The next prime is 4440202121. The reversal of 4440202112 is 2112020444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29405237 + ... + 29405387.

It is an arithmetic number, because the mean of its divisors is an integer number (74564550).

Almost surely, 24440202112 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 4440202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772131200).

4440202112 is an abundant number, since it is smaller than the sum of its proper divisors (5104060288).

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

4440202112 is a wasteful number, since it uses less digits than its factorization.

4440202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4440202112 is about 66634.8415770609. The cubic root of 4440202112 is about 1643.6180917786.

Adding to 4440202112 its reverse (2112020444), we get a palindrome (6552222556).

The spelling of 4440202112 in words is "four billion, four hundred forty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 107 113 128 151 152 214 226 302 304 428 452 604 608 856 904 1208 1216 1712 1808 2033 2147 2416 2432 2869 3424 3616 4066 4294 4832 5738 6848 7232 8132 8588 9664 11476 12091 13696 14464 16157 16264 17063 17176 19328 22952 24182 32314 32528 34126 34352 45904 48364 64628 65056 68252 68704 91808 96728 129256 130112 136504 137408 183616 193456 229729 258512 260224 273008 274816 306983 324197 367232 386912 459458 517024 546016 613966 648394 773824 918916 1034048 1092032 1227932 1296788 1547648 1825741 1837832 2068096 2184064 2455864 2593576 3651482 3675664 4911728 5187152 7302964 7351328 9823456 10374304 14605928 14702656 19646912 20748608 29211856 29405312 34689079 39293824 41497216 58423712 69378158 116847424 138756316 233694848 277512632 555025264 1110050528 2220101056 4440202112