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42420012032 = 2101512511093
BaseRepresentation
bin100111100000011011…
…100000010000000000
311001111022201212220202
4213200123200100000
51143334010341112
631253144024332
73031131103316
oct474033402000
9131438655822
1042420012032
1116a98a99992
12827a4620a8
134000556c48
1420a5b5a0b6
1511841b26c2
hex9e06e0400

42420012032 has 88 divisors (see below), whose sum is σ = 85778667072. Its totient is φ = 20966400000.

The previous prime is 42420012029. The next prime is 42420012053. The reversal of 42420012032 is 23021002424.

It is a junction number, because it is equal to n+sod(n) for n = 42420011995 and 42420012013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38810078 + ... + 38811170.

Almost surely, 242420012032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42420012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42889333536).

42420012032 is an abundant number, since it is smaller than the sum of its proper divisors (43358655040).

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

42420012032 is a wasteful number, since it uses less digits than its factorization.

42420012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42420012032 its reverse (23021002424), we get a palindrome (65441014456).

The spelling of 42420012032 in words is "forty-two billion, four hundred twenty million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 151 251 256 302 502 512 604 1004 1024 1093 1208 2008 2186 2416 4016 4372 4832 8032 8744 9664 16064 17488 19328 32128 34976 37901 38656 64256 69952 75802 77312 128512 139904 151604 154624 165043 257024 274343 279808 303208 330086 548686 559616 606416 660172 1097372 1119232 1212832 1320344 2194744 2425664 2640688 4389488 4851328 5281376 8778976 9702656 10562752 17557952 19405312 21125504 35115904 38810624 41425793 42251008 70231808 82851586 84502016 140463616 165703172 169004032 280927232 331406344 662812688 1325625376 2651250752 5302501504 10605003008 21210006016 42420012032