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4234413420144 = 24339801882917
BaseRepresentation
bin111101100111100110101…
…101010010111001110000
3112222210202112220021002000
4331213212231102321300
51023334034313421034
613001132423054000
7614632466130105
oct75474655227160
915883675807060
104234413420144
111392893a91766
125847a85a1300
132493c39611bb
14108d37a78aac
1575230743599
hex3d9e6b52e70

4234413420144 has 40 divisors (see below), whose sum is σ = 12154334818320. Its totient is φ = 1411471139904.

The previous prime is 4234413420091. The next prime is 4234413420169. The reversal of 4234413420144 is 4410243144324.

4234413420144 is a `hidden beast` number, since 4 + 2 + 3 + 441 + 3 + 4 + 201 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4234413420099 and 4234413420108.

It is a congruent number.

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, 4900941027 + ... + 4900941890.

It is an arithmetic number, because the mean of its divisors is an integer number (303858370458).

Almost surely, 24234413420144 is an apocalyptic number.

It is an amenable number.

4234413420144 is an abundant number, since it is smaller than the sum of its proper divisors (7919921398176).

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

4234413420144 is a wasteful number, since it uses less digits than its factorization.

4234413420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9801882934 (or 9801882922 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4234413420144 its reverse (4410243144324), we get a palindrome (8644656564468).

The spelling of 4234413420144 in words is "four trillion, two hundred thirty-four billion, four hundred thirteen million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9801882917 19603765834 29405648751 39207531668 58811297502 78415063336 88216946253 117622595004 156830126672 176433892506 235245190008 264650838759 352867785012 470490380016 529301677518 705735570024 1058603355036 1411471140048 2117206710072 4234413420144