Search a number
-
+
4514417440 = 255132170393
BaseRepresentation
bin1000011010001010…
…01000101100100000
3102122121200011111221
410031011020230200
533221142324230
62023543344424
7216604625611
oct41505105440
912577604457
104514417440
111a072a8705
12a5ba52114
1356c383c30
1430b7bdc08
151b64da27a
hex10d148b20

4514417440 has 48 divisors (see below), whose sum is σ = 11485725048. Its totient is φ = 1666861056.

The previous prime is 4514417431. The next prime is 4514417441. The reversal of 4514417440 is 447144154.

It can be written as a sum of positive squares in 4 ways, for example, as 1597121296 + 2917296144 = 39964^2 + 54012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4514417396 and 4514417405.

It is not an unprimeable number, because it can be changed into a prime (4514417441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083117 + ... + 1087276.

Almost surely, 24514417440 is an apocalyptic number.

4514417440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4514417440 is an abundant number, since it is smaller than the sum of its proper divisors (6971307608).

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

4514417440 is a wasteful number, since it uses less digits than its factorization.

4514417440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170421 (or 2170413 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 4514417440 is about 67189.4146424867. The cubic root of 4514417440 is about 1652.7249054758.

The spelling of 4514417440 in words is "four billion, five hundred fourteen million, four hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2170393 4340786 8681572 10851965 17363144 21703930 28215109 34726288 43407860 56430218 69452576 86815720 112860436 141075545 173631440 225720872 282151090 347262880 451441744 564302180 902883488 1128604360 2257208720 4514417440