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424430099289 = 310723832
BaseRepresentation
bin1100010110100100000…
…00010101101101011001
31111120112021010000000000
412023102000111231121
523423213101134124
6522551442003213
742443526214200
oct6132200255531
91446467100000
10424430099289
11153aaa7a95a9
126a310946509
133103ca871b1
141678499a237
15b0915466c9
hex62d2015b59

424430099289 has 99 divisors (see below), whose sum is σ = 742521719253. Its totient is φ = 241898243832.

The previous prime is 424430099279. The next prime is 424430099381. The reversal of 424430099289 is 982990034424.

The square root of 424430099289 is 651483.

It is a perfect power (a square), and thus also a powerful number.

424430099289 is a `hidden beast` number, since 4 + 244 + 30 + 0 + 99 + 289 = 666.

It is not a de Polignac number, because 424430099289 - 227 = 424295881561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424430099239) by changing a digit.

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 98 ways as a sum of consecutive naturals, for example, 1108172392 + ... + 1108172774.

Almost surely, 2424430099289 is an apocalyptic number.

424430099289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

424430099289 is the 651483-rd square number.

424430099289 is the 325742-nd centered octagonal number.

It is an amenable number.

424430099289 is a deficient number, since it is larger than the sum of its proper divisors (318091619964).

424430099289 is an frugal number, since it uses more digits than its factorization.

424430099289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 424430099289 in words is "four hundred twenty-four billion, four hundred thirty million, ninety-nine thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 383 441 567 729 1149 1323 1701 2187 2681 3447 3969 5103 6561 8043 10341 11907 15309 18767 19683 24129 31023 35721 45927 56301 59049 72387 93069 107163 137781 146689 168903 217161 279207 321489 413343 440067 506709 651483 837621 964467 1026823 1320201 1520127 1954449 2512863 2893401 3080469 3960603 4560381 5863347 7187761 7538589 9241407 11881809 13681143 17590041 21563283 22615767 27724221 35645427 41043429 52770123 64689849 83172663 106936281 123130287 158310369 194069547 249517989 320808843 369390861 582208641 748553967 962426529 1108172583 1746625923 2245661901 2887279587 5239877769 6736985703 8661838761 15719633307 20210957109 47158899921 60632871327 141476699763 424430099289