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42133400232 = 23371157139929
BaseRepresentation
bin100111001111010110…
…001010101010101000
311000202100102111102220
4213033112022222220
51142242122301412
631204504554040
73021050664360
oct471726125250
9130670374386
1042133400232
111696122a230
1281ba482920
133c86065c71
142079a6d9a0
151168e4a68c
hex9cf58aaa8

42133400232 has 128 divisors (see below), whose sum is σ = 131558169600. Its totient is φ = 10924300800.

The previous prime is 42133400209. The next prime is 42133400249. The reversal of 42133400232 is 23200433124.

42133400232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035244 + ... + 1075172.

It is an arithmetic number, because the mean of its divisors is an integer number (1027798200).

Almost surely, 242133400232 is an apocalyptic number.

42133400232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42133400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65779084800).

42133400232 is an abundant number, since it is smaller than the sum of its proper divisors (89424769368).

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

42133400232 is a wasteful number, since it uses less digits than its factorization.

42133400232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40527 (or 40523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42133400232 its reverse (23200433124), we get a palindrome (65333833356).

The spelling of 42133400232 in words is "forty-two billion, one hundred thirty-three million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 571 616 924 1142 1713 1848 2284 3426 3997 4568 6281 6852 7994 11991 12562 13704 15988 18843 23982 25124 31976 37686 39929 43967 47964 50248 75372 79858 87934 95928 119787 131901 150744 159716 175868 239574 263802 279503 319432 351736 439219 479148 527604 559006 838509 878438 958296 1055208 1118012 1317657 1677018 1756876 2236024 2635314 3074533 3354036 3513752 5270628 6149066 6708072 9223599 10541256 12298132 18447198 22799459 24596264 36894396 45598918 68398377 73788792 91197836 136796754 159596213 182395672 250794049 273593508 319192426 478788639 501588098 547187016 638384852 752382147 957577278 1003176196 1276769704 1504764294 1755558343 1915154556 2006352392 3009528588 3511116686 3830309112 5266675029 6019057176 7022233372 10533350058 14044466744 21066700116 42133400232