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42430432323032 = 231314917315827479
BaseRepresentation
bin10011010010111000110101…
…10110001010010111011000
312120020022100210010102100122
421221130122312022113120
521030140011133314112
6230124134351452412
711636332444655465
oct1151343266122730
9176208323112318
1042430432323032
1112579710983a46
124913375b27108
131a8a23227ccb0
14a69902b5266c
154d8aa6167872
hex26971ad8a5d8

42430432323032 has 64 divisors (see below), whose sum is σ = 86750417880000. Its totient is φ = 19339405438464.

The previous prime is 42430432322977. The next prime is 42430432323067. The reversal of 42430432323032 is 23032323403424.

It is a happy number.

42430432323032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42430432322983 and 42430432323001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5232932 + ... + 10594547.

It is an arithmetic number, because the mean of its divisors is an integer number (1355475279375).

Almost surely, 242430432323032 is an apocalyptic number.

It is an amenable number.

42430432323032 is an abundant number, since it is smaller than the sum of its proper divisors (44319985556968).

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

42430432323032 is a wasteful number, since it uses less digits than its factorization.

42430432323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15827820 (or 15827816 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 42430432323032 its reverse (23032323403424), we get a palindrome (65462755726456).

The spelling of 42430432323032 in words is "forty-two trillion, four hundred thirty billion, four hundred thirty-two million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 149 173 298 346 596 692 1192 1384 1937 2249 3874 4498 7748 8996 15496 17992 25777 51554 103108 206216 335101 670202 1340404 2680808 15827479 31654958 63309916 126619832 205757227 411514454 823028908 1646057816 2358294371 2738153867 4716588742 5476307734 9433177484 10952615468 18866354968 21905230936 30657826823 35596000271 61315653646 71192000542 122631307292 142384001084 245262614584 284768002168 407984926183 815969852366 1631939704732 3263879409464 5303804040379 10607608080758 21215216161516 42430432323032