Search a number
-
+
132331134442120 = 23523434771171791
BaseRepresentation
bin11110000101101010111110…
…010000101101101010001000
3122100112201210021201200212221
4132011222332100231222020
5114321103130404121440
61145240030043143424
736605415605423365
oct3605527620555210
9570481707650787
10132331134442120
113918a356588509
1212a127b1214b74
1358aba0705ca73
142496c0ab4146c
151047383249d4a
hex785abe42da88

132331134442120 has 128 divisors (see below), whose sum is σ = 324680021360640. Its totient is φ = 48401372194560.

The previous prime is 132331134442103. The next prime is 132331134442123. The reversal of 132331134442120 is 21244431133231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132331134442123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33726576 + ... + 37445215.

It is an arithmetic number, because the mean of its divisors is an integer number (2536562666880).

Almost surely, 2132331134442120 is an apocalyptic number.

132331134442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132331134442120 is an abundant number, since it is smaller than the sum of its proper divisors (192348886918520).

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

132331134442120 is a wasteful number, since it uses less digits than its factorization.

132331134442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71171915 (or 71171911 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 132331134442120 its reverse (21244431133231), we get a palindrome (153575565575351).

The spelling of 132331134442120 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, one hundred thirty-four million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 47 86 92 94 115 172 184 188 215 230 235 344 376 430 460 470 860 920 940 989 1081 1720 1880 1978 2021 2162 3956 4042 4324 4945 5405 7912 8084 8648 9890 10105 10810 16168 19780 20210 21620 39560 40420 43240 46483 80840 92966 185932 232415 371864 464830 929660 1859320 71171791 142343582 284687164 355858955 569374328 711717910 1423435820 1636951193 2846871640 3060387013 3273902386 3345074177 6120774026 6547804772 6690148354 8184755965 12241548052 13095609544 13380296708 15301935065 16369511930 16725370885 24483096104 26760593416 30603870130 32739023860 33450741770 61207740260 65478047720 66901483540 70388901299 76936706071 122415480520 133802967080 140777802598 143838189611 153873412142 281555605196 287676379222 307746824284 351944506495 384683530355 563111210392 575352758444 615493648568 703889012990 719190948055 769367060710 1150705516888 1407778025980 1438381896110 1538734121420 2815556051960 2876763792220 3077468242840 3308278361053 5753527584440 6616556722106 13233113444212 16541391805265 26466226888424 33082783610530 66165567221060 132331134442120