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132114230200008 = 23327237447344161
BaseRepresentation
bin11110000010100000111101…
…110000101100011011001000
3122022202222220212010112121100
4132002200331300230123020
5114304024420412400013
61144552234532341400
736553636532661600
oct3602407560543310
9568688825115540
10132114230200008
113910636a811a91
1212998758474860
13589441a837184
14248a511989c00
1510418dac16473
hex78283dc2c6c8

132114230200008 has 72 divisors (see below), whose sum is σ = 416227230360630. Its totient is φ = 37746922913280.

The previous prime is 132114230200003. The next prime is 132114230200031. The reversal of 132114230200008 is 800002032411231.

132114230200008 is a `hidden beast` number, since 1 + 3 + 211 + 423 + 0 + 20 + 0 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83287927993284 + 48826302206724 = 9126222^2 + 6987582^2 .

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

It is not an unprimeable number, because it can be changed into a prime (132114230200003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18723668553 + ... + 18723675608.

Almost surely, 2132114230200008 is an apocalyptic number.

132114230200008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132114230200008 is an abundant number, since it is smaller than the sum of its proper divisors (284113000160622).

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

132114230200008 is a wasteful number, since it uses less digits than its factorization.

132114230200008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37447344187 (or 37447344173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132114230200008 its reverse (800002032411231), we get a palindrome (932116262611239).

The spelling of 132114230200008 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty million, two hundred thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 37447344161 74894688322 112342032483 149789376644 224684064966 262131409127 299578753288 337026097449 449368129932 524262818254 674052194898 786394227381 898736259864 1048525636508 1348104389796 1572788454762 1834919863889 2097051273016 2359182682143 2696208779592 3145576909524 3669839727778 4718365364286 5504759591667 6291153819048 7339679455556 9436730728572 11009519183334 14679358911112 16514278775001 18873461457144 22019038366668 33028557550002 44038076733336 66057115100004 132114230200008