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432004230244333 = 97241281227328933
BaseRepresentation
bin110001000111001111101001…
…0101011110110011111101101
32002122121012102120202101220001
41202032133102223312133231
5423110424130420304313
64130444000440024301
7156665163356324515
oct14216372253663755
92078535376671801
10432004230244333
11115716a6871172a
1240551392762091
1315708a93759306
14789718b210845
1534e264c48aadd
hex188e7d2af67ed

432004230244333 has 32 divisors (see below), whose sum is σ = 440037296167392. Its totient is φ = 424059981004800.

The previous prime is 432004230244313. The next prime is 432004230244339. The reversal of 432004230244333 is 333442032400234.

It can be written as a sum of positive squares in 16 ways, for example, as 728382023209 + 431275848221124 = 853453^2 + 20767182^2 .

It is a cyclic number.

It is not a de Polignac number, because 432004230244333 - 213 = 432004230236141 is a prime.

It is a super-2 number, since 2×4320042302443332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432004230244292 and 432004230244301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432004230244339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14931179335 + ... + 14931208267.

It is an arithmetic number, because the mean of its divisors is an integer number (13751165505231).

Almost surely, 2432004230244333 is an apocalyptic number.

It is an amenable number.

432004230244333 is a deficient number, since it is larger than the sum of its proper divisors (8033065923059).

432004230244333 is a wasteful number, since it uses less digits than its factorization.

432004230244333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31825.

The product of its (nonzero) digits is 497664, while the sum is 37.

Adding to 432004230244333 its reverse (333442032400234), we get a palindrome (765446262644567).

The spelling of 432004230244333 in words is "four hundred thirty-two trillion, four billion, two hundred thirty million, two hundred forty-four thousand, three hundred thirty-three".

Divisors: 1 97 241 281 2273 23377 27257 28933 67721 220481 547793 638713 2806501 6568937 6972853 8130173 53135921 61955161 65764709 153929833 676366741 788626781 1959371693 6379176773 14931193801 15849294869 18479883229 190059054221 1537381602293 1792548673213 4453651858189 432004230244333