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424224241344 = 2632736500419
BaseRepresentation
bin1100010110001011011…
…11000011011011000000
31111112222220202022222200
412023011233003123000
523422302401210334
6522515205433200
742435446361231
oct6130557033300
91445886668880
10424224241344
11153a04585472
126a273a0b800
133100922b767
14167654d1088
15b07d431799
hex62c5bc36c0

424224241344 has 42 divisors (see below), whose sum is σ = 1215962193420. Its totient is φ = 141408080256.

The previous prime is 424224241279. The next prime is 424224241349. The reversal of 424224241344 is 443142422424.

424224241344 is a `hidden beast` number, since 424 + 224 + 2 + 4 + 1 + 3 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424224241299 and 424224241308.

It is not an unprimeable number, because it can be changed into a prime (424224241349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 368249634 + ... + 368250785.

Almost surely, 2424224241344 is an apocalyptic number.

It is an amenable number.

424224241344 is an abundant number, since it is smaller than the sum of its proper divisors (791737952076).

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

424224241344 is a wasteful number, since it uses less digits than its factorization.

424224241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736500437 (or 736500424 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 424224241344 its reverse (443142422424), we get a palindrome (867366663768).

The spelling of 424224241344 in words is "four hundred twenty-four billion, two hundred twenty-four million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 736500419 1473000838 2209501257 2946001676 4419002514 5892003352 6628503771 8838005028 11784006704 13257007542 17676010056 23568013408 26514015084 35352020112 47136026816 53028030168 70704040224 106056060336 141408080448 212112120672 424224241344