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421440032232 = 233219233074903
BaseRepresentation
bin1100010000111111100…
…10001000110111101000
31111021210212202212002200
412020133302020313220
523401102122012412
6521335030300200
742306451111422
oct6103762106750
91437725685080
10421440032232
11152805a029aa
12698174b7660
133098446cb4b
141657d81b812
15ae68cb59dc
hex621fc88de8

421440032232 has 144 divisors (see below), whose sum is σ = 1205245585440. Its totient is φ = 133018946496.

The previous prime is 421440032179. The next prime is 421440032239. The reversal of 421440032232 is 232230044124.

421440032232 is a `hidden beast` number, since 4 + 21 + 4 + 400 + 3 + 2 + 232 = 666.

It is a super-2 number, since 2×4214400322322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421440032196 and 421440032205.

It is not an unprimeable number, because it can be changed into a prime (421440032239) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 85953093 + ... + 85957995.

It is an arithmetic number, because the mean of its divisors is an integer number (8369761010).

Almost surely, 2421440032232 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 421440032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602622792720).

421440032232 is an abundant number, since it is smaller than the sum of its proper divisors (783805553208).

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

421440032232 is a wasteful number, since it uses less digits than its factorization.

421440032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8260 (or 8234 counting only the distinct ones).

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

Adding to 421440032232 its reverse (232230044124), we get a palindrome (653670076356).

The spelling of 421440032232 in words is "four hundred twenty-one billion, four hundred forty million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 3307 4332 4903 6498 6614 8664 9806 9921 12996 13228 14709 19612 19842 25992 26456 29418 29763 39224 39684 44127 58836 59526 62833 79368 88254 93157 117672 119052 125666 176508 186314 188499 238104 251332 279471 353016 372628 376998 502664 558942 565497 745256 753996 838413 1117884 1130994 1193827 1507992 1676826 1769983 2235768 2261988 2387654 3353652 3539966 3581481 4523976 4775308 5309949 6707304 7079932 7162962 9550616 10619898 10744443 14159864 14325924 15929847 16214221 21239796 21488886 28651848 31859694 32428442 42479592 42977772 48642663 63719388 64856884 85955544 97285326 127438776 129713768 145927989 194570652 291855978 308070199 389141304 583711956 616140398 924210597 1167423912 1232280796 1848421194 2464561592 2772631791 3696842388 5545263582 5853333781 7393684776 11090527164 11706667562 17560001343 22181054328 23413335124 35120002686 46826670248 52680004029 70240005372 105360008058 140480010744 210720016116 421440032232