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4013442323232 = 253414721695221
BaseRepresentation
bin111010011001110011110…
…011011101001100100000
3112012200101200210110210120
4322121303303131030200
51011224012213320412
612311425553400240
7562650561604626
oct72316363351440
915180350713716
104013442323232
11130810061a011
125499b9869080
13231609a09b54
14dc374729516
156e5eb180b8c
hex3a673cdd320

4013442323232 has 96 divisors (see below), whose sum is σ = 11021867023104. Its totient is φ = 1277414553600.

The previous prime is 4013442323207. The next prime is 4013442323251. The reversal of 4013442323232 is 2323232443104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40134423232322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013442323193 and 4013442323202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10662619 + ... + 11032602.

It is an arithmetic number, because the mean of its divisors is an integer number (114811114824).

Almost surely, 24013442323232 is an apocalyptic number.

It is an amenable number.

4013442323232 is an abundant number, since it is smaller than the sum of its proper divisors (7008424699872).

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

4013442323232 is a wasteful number, since it uses less digits than its factorization.

4013442323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21695322 (or 21695314 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 4013442323232 its reverse (2323232443104), we get a palindrome (6336674766336).

The spelling of 4013442323232 in words is "four trillion, thirteen billion, four hundred forty-two million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 82 94 96 123 141 164 188 246 282 328 376 492 564 656 752 984 1128 1312 1504 1927 1968 2256 3854 3936 4512 5781 7708 11562 15416 23124 30832 46248 61664 92496 184992 21695221 43390442 65085663 86780884 130171326 173561768 260342652 347123536 520685304 694247072 889504061 1019675387 1041370608 1779008122 2039350774 2082741216 2668512183 3059026161 3558016244 4078701548 5337024366 6118052322 7116032488 8157403096 10674048732 12236104644 14232064976 16314806192 21348097464 24472209288 28464129952 32629612384 41806690867 42696194928 48944418576 83613381734 85392389856 97888837152 125420072601 167226763468 250840145202 334453526936 501680290404 668907053872 1003360580808 1337814107744 2006721161616 4013442323232