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424133121331424 = 251731181469113829
BaseRepresentation
bin110000001101111110011000…
…0000010001101000011100000
32001121201201201110200122010002
41200123330300002031003200
5421042444113030101144
64102020022135155132
7155223415063425341
oct14033746002150340
92047651643618102
10424133121331424
1111316193495597a
123b69ba10215aa8
13152877740881bb
1476a421ca5c0c8
153407a20d4214e
hex181bf3008d0e0

424133121331424 has 96 divisors (see below), whose sum is σ = 840789845310240. Its totient is φ = 210602077235200.

The previous prime is 424133121331411. The next prime is 424133121331427.

424133121331424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4241331213314242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424133121331427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30669826142 + ... + 30669839970.

It is an arithmetic number, because the mean of its divisors is an integer number (8758227555315).

Almost surely, 2424133121331424 is an apocalyptic number.

It is an amenable number.

424133121331424 is a deficient number, since it is larger than the sum of its proper divisors (416656723978816).

424133121331424 is a wasteful number, since it uses less digits than its factorization.

424133121331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19884 (or 19876 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The spelling of 424133121331424 in words is "four hundred twenty-four trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 173 346 692 1181 1384 2362 2768 4691 4724 5536 9382 9448 13829 18764 18896 27658 37528 37792 55316 75056 110632 150112 204313 221264 408626 442528 811543 817252 1623086 1634504 2392417 3246172 3269008 4784834 5540071 6492344 6538016 9569668 11080142 12984688 16332049 19139336 22160284 25969376 32664098 38278672 44320568 64871839 65328196 76557344 88641136 129743678 130656392 177282272 259487356 261312784 518974712 522625568 958432283 1037949424 1916864566 2075898848 2825444477 3833729132 5650888954 7667458264 11222828147 11301777908 15334916528 22445656294 22603555816 30669833056 44891312588 45207111632 76613641859 89782625176 90414223264 153227283718 179565250352 306454567436 359130500704 612909134872 1225818269744 2451636539488 13254160041607 26508320083214 53016640166428 106033280332856 212066560665712 424133121331424