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23231344032 = 2532136204953
BaseRepresentation
bin10101101000101100…
…100010110110100000
32012222000212112221100
4111220230202312200
5340034211002112
614401120154400
71451460110661
oct255054426640
965860775840
1023231344032
119941540686
124604168a00
132262c9c120
1411a550d368
1590e7ab2dc
hex568b22da0

23231344032 has 72 divisors (see below), whose sum is σ = 71146002564. Its totient is φ = 7148104704.

The previous prime is 23231344009. The next prime is 23231344057. The reversal of 23231344032 is 23044313232.

23231344032 is a `hidden beast` number, since 23 + 231 + 3 + 4 + 403 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22908638736 + 322705296 = 151356^2 + 17964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 23231343987 and 23231344005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3098733 + ... + 3106220.

Almost surely, 223231344032 is an apocalyptic number.

It is an amenable number.

23231344032 is an abundant number, since it is smaller than the sum of its proper divisors (47914658532).

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

23231344032 is a wasteful number, since it uses less digits than its factorization.

23231344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204982 (or 6204971 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23231344032 its reverse (23044313232), we get a palindrome (46275657264).

The spelling of 23231344032 in words is "twenty-three billion, two hundred thirty-one million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 6204953 12409906 18614859 24819812 37229718 49639624 55844577 74459436 80664389 99279248 111689154 148918872 161328778 198558496 223378308 241993167 297837744 322657556 446756616 483986334 595675488 645315112 725979501 893513232 967972668 1290630224 1451959002 1787026464 1935945336 2581260448 2903918004 3871890672 5807836008 7743781344 11615672016 23231344032