Search a number
-
+
4224313300440 = 233535202610837
BaseRepresentation
bin111101011110001100101…
…100011001010111011000
3112221211200122202000112110
4331132030230121113120
51023202343201103230
612552342302312320
7614124264414012
oct75361454312730
915854618660473
104224313300440
1113895808042a2
12582849b886a0
132484742ba8cc
1410865a4d31b2
1574d3dbaa4b0
hex3d78cb195d8

4224313300440 has 32 divisors (see below), whose sum is σ = 12672939901680. Its totient is φ = 1126483546752.

The previous prime is 4224313300439. The next prime is 4224313300457. The reversal of 4224313300440 is 440033134224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4224313300398 and 4224313300407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17601305299 + ... + 17601305538.

Almost surely, 24224313300440 is an apocalyptic number.

4224313300440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224313300440 is an abundant number, since it is smaller than the sum of its proper divisors (8448626601240).

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

4224313300440 is a wasteful number, since it uses less digits than its factorization.

4224313300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35202610851 (or 35202610847 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4224313300440 its reverse (440033134224), we get a palindrome (4664346434664).

The spelling of 4224313300440 in words is "four trillion, two hundred twenty-four billion, three hundred thirteen million, three hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 35202610837 70405221674 105607832511 140810443348 176013054185 211215665022 281620886696 352026108370 422431330044 528039162555 704052216740 844862660088 1056078325110 1408104433480 2112156650220 4224313300440