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430134400404 = 223223358787359
BaseRepresentation
bin1100100001001100000…
…00100001010110010100
31112010020210202112001200
412100212000201112110
524021403401303104
6525333452552500
743035063035532
oct6204600412624
91463223675050
10430134400404
11156467723445
126b443182730
133173b7ccab7
1416b663d5152
15b2c721eb39
hex6426021594

430134400404 has 72 divisors (see below), whose sum is σ = 1093823377920. Its totient is φ = 142517937792.

The previous prime is 430134400357. The next prime is 430134400427. The reversal of 430134400404 is 404004431034.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4880077 + ... + 4967435.

It is an arithmetic number, because the mean of its divisors is an integer number (15191991360).

Almost surely, 2430134400404 is an apocalyptic number.

It is an amenable number.

430134400404 is an abundant number, since it is smaller than the sum of its proper divisors (663688977516).

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

430134400404 is a wasteful number, since it uses less digits than its factorization.

430134400404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88189 (or 88184 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 430134400404 its reverse (404004431034), we get a palindrome (834138831438).

The spelling of 430134400404 in words is "four hundred thirty billion, one hundred thirty-four million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 587 699 932 1174 1398 1761 2097 2348 2796 3522 4194 5283 7044 8388 10566 21132 87359 136771 174718 262077 273542 349436 410313 524154 547084 786231 820626 1048308 1230939 1572462 1641252 2461878 3144924 4923756 20354647 40709294 51279733 61063941 81418588 102559466 122127882 153839199 183191823 205118932 244255764 307678398 366383646 461517597 615356796 732767292 923035194 1846070388 11948177789 23896355578 35844533367 47792711156 71689066734 107533600101 143378133468 215067200202 430134400404