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4414000032 = 2532131178953
BaseRepresentation
bin1000001110001100…
…00100101110100000
3102101121201102201200
410013012010232200
533014441000112
62005555201200
7214245244521
oct40706045640
912347642650
104414000032
111965651612
12a322a6200
13554625450
142dc320848
151ac7a1cdc
hex107184ba0

4414000032 has 72 divisors (see below), whose sum is σ = 13517886564. Its totient is φ = 1358152704.

The previous prime is 4414000001. The next prime is 4414000039. The reversal of 4414000032 is 2300004144.

It can be written as a sum of positive squares in 2 ways, for example, as 3163387536 + 1250612496 = 56244^2 + 35364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4413999969 and 4414000014.

It is not an unprimeable number, because it can be changed into a prime (4414000039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585733 + ... + 593220.

Almost surely, 24414000032 is an apocalyptic number.

It is an amenable number.

4414000032 is an abundant number, since it is smaller than the sum of its proper divisors (9103886532).

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

4414000032 is a wasteful number, since it uses less digits than its factorization.

4414000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178982 (or 1178971 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4414000032 is about 66437.9412083186. The cubic root of 4414000032 is about 1640.3786593424.

Adding to 4414000032 its reverse (2300004144), we get a palindrome (6714004176).

The spelling of 4414000032 in words is "four billion, four hundred fourteen million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1178953 2357906 3536859 4715812 7073718 9431624 10610577 14147436 15326389 18863248 21221154 28294872 30652778 37726496 42442308 45979167 56589744 61305556 84884616 91958334 113179488 122611112 137937501 169769232 183916668 245222224 275875002 339538464 367833336 490444448 551750004 735666672 1103500008 1471333344 2207000016 4414000032