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132321140140230 = 23252957418830823
BaseRepresentation
bin11110000101100001101010…
…100011011110100011000110
3122100111202222202200120002200
4132011201222203132203012
5114320422143333441410
61145231254222415330
736604613130313116
oct3605415243364306
9570452882616080
10132321140140230
1139186098005588
1212a10882131546
1358aaaa35b9072
14249653d663046
151046e9ab153c0
hex78586a8de8c6

132321140140230 has 96 divisors (see below), whose sum is σ = 355960271684160. Its totient is φ = 34062953084160.

The previous prime is 132321140140193. The next prime is 132321140140247. The reversal of 132321140140230 is 32041041123231.

132321140140230 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 21 + 1 + 401 + 4 + 0 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132321140140194 and 132321140140203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10568599 + ... + 19399421.

It is an arithmetic number, because the mean of its divisors is an integer number (3707919496710).

Almost surely, 2132321140140230 is an apocalyptic number.

132321140140230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132321140140230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177980135842080).

132321140140230 is an abundant number, since it is smaller than the sum of its proper divisors (223639131543930).

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

132321140140230 is a wasteful number, since it uses less digits than its factorization.

132321140140230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836606 (or 8836603 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132321140140230 its reverse (32041041123231), we get a palindrome (164362181263461).

The spelling of 132321140140230 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, one hundred forty million, one hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 5741 11482 17223 28705 34446 51669 57410 86115 103338 166489 172230 258345 332978 499467 516690 832445 998934 1498401 1664890 2497335 2996802 4994670 7492005 8830823 14984010 17661646 26492469 44154115 52984938 79477407 88308230 132462345 158954814 256093867 264924690 397387035 512187734 768281601 794774070 1280469335 1536563202 2304844803 2560938670 3841408005 4609689606 7682816010 11524224015 23048448030 50697754843 101395509686 152093264529 253488774215 304186529058 456279793587 506977548430 760466322645 912559587174 1470234890447 1520932645290 2281398967935 2940469780894 4410704671341 4562797935870 7351174452235 8821409342682 13232114014023 14702348904470 22053523356705 26464228028046 44107046713410 66160570070115 132321140140230