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12430442466354 = 2311250393397861
BaseRepresentation
bin1011010011100011000000…
…0110111000110000110010
31122000100010220111222220010
42310320300012320300302
53112130021232410404
642234244425555350
72422032644423523
oct264706006706062
948010126458803
1012430442466354
113a627a2790800
12148912a045b56
136c2254c82913
1430d8cac8684a
151685271e4189
hexb4e301b8c32

12430442466354 has 48 divisors (see below), whose sum is σ = 27331858270080. Its totient is φ = 3766052109600.

The previous prime is 12430442466317. The next prime is 12430442466517. The reversal of 12430442466354 is 45366424403421.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1959384 + ... + 5357244.

It is an arithmetic number, because the mean of its divisors is an integer number (569413713960).

Almost surely, 212430442466354 is an apocalyptic number.

12430442466354 is an abundant number, since it is smaller than the sum of its proper divisors (14901415803726).

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

12430442466354 is a wasteful number, since it uses less digits than its factorization.

12430442466354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402927 (or 3402916 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

Adding to 12430442466354 its reverse (45366424403421), we get a palindrome (57796866869775).

The spelling of 12430442466354 in words is "twelve trillion, four hundred thirty billion, four hundred forty-two million, four hundred sixty-six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 5039 10078 15117 30234 55429 110858 166287 332574 609719 1219438 1829157 3397861 3658314 6795722 10193583 20387166 37376471 74752942 112129413 224258826 411141181 822282362 1233423543 2466847086 17121821579 34243643158 51365464737 102730929474 188340037369 376680074738 565020112107 1130040224214 2071740411059 4143480822118 6215221233177 12430442466354