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423241040232 = 233212781157073
BaseRepresentation
bin1100010100010110010…
…00011100000101101000
31111110110101200112121200
412022023020130011220
523413244201241412
6522233444204200
742402210324543
oct6121310340550
91443411615550
10423241040232
1115354a59596a
126a03a699660
1330bb062395a
14166b0ab785a
15b021e6c9dc
hex628b21c168

423241040232 has 96 divisors (see below), whose sum is σ = 1156748436480. Its totient is φ = 139794439680.

The previous prime is 423241040219. The next prime is 423241040251. The reversal of 423241040232 is 232040142324.

423241040232 is a `hidden beast` number, since 4 + 2 + 324 + 104 + 0 + 232 = 666.

It is a super-4 number, since 4×4232410402324 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 423241040196 and 423241040205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7387248 + ... + 7444320.

It is an arithmetic number, because the mean of its divisors is an integer number (12049462880).

Almost surely, 2423241040232 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 423241040232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578374218240).

423241040232 is an abundant number, since it is smaller than the sum of its proper divisors (733507396248).

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

423241040232 is a wasteful number, since it uses less digits than its factorization.

423241040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58023 (or 58016 counting only the distinct ones).

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

Adding to 423241040232 its reverse (232040142324), we get a palindrome (655281182556).

The spelling of 423241040232 in words is "four hundred twenty-three billion, two hundred forty-one million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 811 1016 1143 1524 1622 2286 2433 3048 3244 4572 4866 6488 7299 9144 9732 14598 19464 29196 57073 58392 102997 114146 171219 205994 228292 308991 342438 411988 456584 513657 617982 684876 823976 926973 1027314 1235964 1369752 1853946 2054628 2471928 3707892 4109256 7248271 7415784 14496542 21744813 28993084 43489626 46286203 57986168 65234439 86979252 92572406 130468878 138858609 173958504 185144812 260937756 277717218 370289624 416575827 521875512 555434436 833151654 1110868872 1666303308 3332606616 5878347781 11756695562 17635043343 23513391124 35270086686 47026782248 52905130029 70540173372 105810260058 141080346744 211620520116 423241040232