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4314001024 = 27291279151
BaseRepresentation
bin1000000010010001…
…00110111010000000
3102010122112221212201
410001020212322000
532313341013044
61552024002544
7211622255314
oct40110467200
912118487781
104314001024
111914160903
12a04900454
135399b2238
142ccd2db44
151a3aec7d4
hex101226e80

4314001024 has 64 divisors (see below), whose sum is σ = 8961638400. Its totient is φ = 2065996800.

The previous prime is 4314001009. The next prime is 4314001037. The reversal of 4314001024 is 4201004134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×43140010242 = 37221209670146097152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314000992 and 4314001010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466849 + ... + 475999.

It is an arithmetic number, because the mean of its divisors is an integer number (140025600).

Almost surely, 24314001024 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 4314001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480819200).

4314001024 is an abundant number, since it is smaller than the sum of its proper divisors (4647637376).

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

4314001024 is a wasteful number, since it uses less digits than its factorization.

4314001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9321 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4314001024 is about 65681.0552899388. The cubic root of 4314001024 is about 1627.8963445203.

Adding to 4314001024 its reverse (4201004134), we get a palindrome (8515005158).

The spelling of 4314001024 in words is "four billion, three hundred fourteen million, one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 127 128 232 254 464 508 928 1016 1856 2032 3683 3712 4064 7366 8128 9151 14732 16256 18302 29464 36604 58928 73208 117856 146416 235712 265379 292832 471424 530758 585664 1061516 1162177 1171328 2123032 2324354 4246064 4648708 8492128 9297416 16984256 18594832 33703133 33968512 37189664 67406266 74379328 134812532 148758656 269625064 539250128 1078500256 2157000512 4314001024