Search a number
-
+
332124102144 = 293324025181
BaseRepresentation
bin1001101010101000010…
…00111001111000000000
31011202021022002111111000
410311110020321320000
520420142232232034
6412324204052000
732665226200662
oct4652410717000
91152238074430
10332124102144
1111894244074a
125444b834000
132541c2a0183
141210970c532
15898ca11599
hex4d54239e00

332124102144 has 80 divisors (see below), whose sum is σ = 983110447440. Its totient is φ = 110708029440.

The previous prime is 332124102143. The next prime is 332124102151. The reversal of 332124102144 is 441201421233.

332124102144 is a `hidden beast` number, since 3 + 32 + 1 + 2 + 410 + 214 + 4 = 666.

It is a super-2 number, since 2×3321241021442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332124102143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11998767 + ... + 12026414.

It is an arithmetic number, because the mean of its divisors is an integer number (12288880593).

Almost surely, 2332124102144 is an apocalyptic number.

It is an amenable number.

332124102144 is an abundant number, since it is smaller than the sum of its proper divisors (650986345296).

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

332124102144 is an equidigital number, since it uses as much as digits as its factorization.

332124102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24025208 (or 24025186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 332124102144 its reverse (441201421233), we get a palindrome (773325523377).

The spelling of 332124102144 in words is "three hundred thirty-two billion, one hundred twenty-four million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 24025181 48050362 72075543 96100724 144151086 192201448 216226629 288302172 384402896 432453258 576604344 648679887 768805792 864906516 1153208688 1297359774 1537611584 1729813032 2306417376 2594719548 3075223168 3459626064 4612834752 5189439096 6150446336 6919252128 9225669504 10378878192 12300892672 13838504256 18451339008 20757756384 27677008512 36902678016 41515512768 55354017024 83031025536 110708034048 166062051072 332124102144