Search a number
-
+
232504101030144 = 2831495473714461
BaseRepresentation
bin110100110111011000010100…
…010110011100100100000000
31010111020011201120012022000110
4310313120110112130210000
5220433321344330431034
62142254524240151320
766654603240410526
oct6467302426344400
91114204646168013
10232504101030144
11680a0487731299
12220b0a29008540
139c970729162c8
14415b3895b6316
151bd2e72a08de9
hexd3761459c900

232504101030144 has 144 divisors (see below), whose sum is σ = 624092018961600. Its totient is φ = 76840469422080.

The previous prime is 232504101030137. The next prime is 232504101030193. The reversal of 232504101030144 is 441030101405232.

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, 60737074 + ... + 64451534.

It is an arithmetic number, because the mean of its divisors is an integer number (4333972353900).

Almost surely, 2232504101030144 is an apocalyptic number.

232504101030144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232504101030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312046009480800).

232504101030144 is an abundant number, since it is smaller than the sum of its proper divisors (391587917931456).

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

232504101030144 is a wasteful number, since it uses less digits than its factorization.

232504101030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715176 (or 3715162 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 232504101030144 its reverse (441030101405232), we get a palindrome (673534202435376).

The spelling of 232504101030144 in words is "two hundred thirty-two trillion, five hundred four billion, one hundred one million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 547 596 768 894 1094 1192 1641 1788 2188 2384 3282 3576 4376 4768 6564 7152 8752 9536 13128 14304 17504 19072 26256 28608 35008 38144 52512 57216 70016 81503 105024 114432 140032 163006 210048 244509 326012 420096 489018 652024 978036 1304048 1956072 2608096 3714461 3912144 5216192 7428922 7824288 10432384 11143383 14857844 15648576 20864768 22286766 29715688 31297152 44573532 59431376 62594304 89147064 118862752 178294128 237725504 356588256 475451008 553454689 713176512 950902016 1106909378 1426353024 1660364067 2031810167 2213818756 2852706048 3320728134 4063620334 4427637512 6095430501 6641456268 8127240668 8855275024 12190861002 13282912536 16254481336 17710550048 24381722004 26565825072 32508962672 35421100096 48763444008 53131650144 65017925344 70842200192 97526888016 106263300288 130035850688 141684400384 195053776032 212526600576 260071701376 302739714883 390107552064 425053201152 520143402752 605479429766 780215104128 908219144649 1210958859532 1560430208256 1816438289298 2421917719064 3632876578596 4843835438128 7265753157192 9687670876256 14531506314384 19375341752512 29063012628768 38750683505024 58126025257536 77501367010048 116252050515072 232504101030144