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4477044312 = 233413975479
BaseRepresentation
bin1000010101101101…
…00100011001011000
3102120000100102020000
410022312210121120
533132110404222
62020130333000
7215642151216
oct41266443130
912500312200
104477044312
1119981a1724
12a4b42a160
135646c9c60
14306851cb6
151b30a69ac
hex10ada4658

4477044312 has 160 divisors (see below), whose sum is σ = 13646186400. Its totient is φ = 1363101696.

The previous prime is 4477044311. The next prime is 4477044329. The reversal of 4477044312 is 2134407744.

It is a happy number.

It is a super-2 number, since 2×44770443122 = 40087851543223106688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477044311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 814389 + ... + 819867.

It is an arithmetic number, because the mean of its divisors is an integer number (85288665).

Almost surely, 24477044312 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 4477044312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823093200).

4477044312 is an abundant number, since it is smaller than the sum of its proper divisors (9169142088).

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

4477044312 is a wasteful number, since it uses less digits than its factorization.

4477044312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4477044312 is about 66910.7189619122. The cubic root of 4477044312 is about 1648.1515034546.

The spelling of 4477044312 in words is "four billion, four hundred seventy-seven million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 97 104 108 117 156 162 194 216 234 291 312 324 351 388 468 582 648 702 776 873 936 1053 1164 1261 1404 1746 2106 2328 2522 2619 2808 3492 3783 4212 5044 5238 5479 6984 7566 7857 8424 10088 10476 10958 11349 15132 15714 16437 20952 21916 22698 30264 31428 32874 34047 43832 45396 49311 62856 65748 68094 71227 90792 98622 102141 131496 136188 142454 147933 197244 204282 213681 272376 284908 295866 394488 408564 427362 443799 531463 569816 591732 641043 817128 854724 887598 1062926 1183464 1282086 1594389 1709448 1775196 1923129 2125852 2564172 3188778 3550392 3846258 4251704 4783167 5128344 5769387 6377556 6909019 7692516 9566334 11538774 12755112 13818038 14349501 15385032 19132668 20727057 23077548 27636076 28699002 38265336 41454114 43048503 46155096 55272152 57398004 62181171 82908228 86097006 114796008 124362342 165816456 172194012 186543513 248724684 344388024 373087026 497449368 559630539 746174052 1119261078 1492348104 2238522156 4477044312