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424042341424 = 241371101284293
BaseRepresentation
bin1100010101110101110…
…01001010010000110000
31111112112020110212012121
412022322321022100300
523421414314411144
6522445151004024
742431110300612
oct6127271122060
91445466425177
10424042341424
11153920935359
126a222b09614
1330caa640b80
14167492a0db2
15b06c4a0384
hex62bae4a430

424042341424 has 80 divisors (see below), whose sum is σ = 906129129024. Its totient is φ = 191044224000.

The previous prime is 424042341407. The next prime is 424042341473. The reversal of 424042341424 is 424143240424.

It is a self number, because there is not a number n which added to its sum of digits gives 424042341424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349422 + ... + 1633714.

Almost surely, 2424042341424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424042341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453064564512).

424042341424 is an abundant number, since it is smaller than the sum of its proper divisors (482086787600).

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

424042341424 is a wasteful number, since it uses less digits than its factorization.

424042341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284486 (or 284480 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 424042341424 its reverse (424143240424), we get a palindrome (848185581848).

The spelling of 424042341424 in words is "four hundred twenty-four billion, forty-two million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 71 101 104 142 202 208 284 404 568 808 923 1136 1313 1616 1846 2626 3692 5252 7171 7384 10504 14342 14768 21008 28684 57368 93223 114736 186446 284293 372892 568586 745784 1137172 1491568 2274344 3695809 4548688 7391618 14783236 20184803 28713593 29566472 40369606 57427186 59132944 80739212 114854372 161478424 229708744 262402439 322956848 373276709 459417488 524804878 746553418 1049609756 1493106836 2038665103 2099219512 2986213672 4077330206 4198439024 5972427344 8154660412 16309320824 26502646339 32618641648 53005292678 106010585356 212021170712 424042341424