Search a number
-
+
132323740635120 = 24354312822067891
BaseRepresentation
bin11110000101100100000101…
…100011100100111111110000
3122100112000200222222101110020
4132011210011203210333300
5114320443010100310440
61145232404240203440
736605034435204636
oct3605440543447760
9570460628871406
10132323740635120
1139187201a08911
1212a11289009580
1358ab0c92a3338
142496708b93356
15104709e0923d0
hex7859058e4ff0

132323740635120 has 80 divisors (see below), whose sum is σ = 419743214512512. Its totient is φ = 34465718488320.

The previous prime is 132323740635019. The next prime is 132323740635127. The reversal of 132323740635120 is 21536047323231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132323740635127) 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 15 ways as a sum of consecutive naturals, for example, 6411023626 + ... + 6411044265.

Almost surely, 2132323740635120 is an apocalyptic number.

132323740635120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132323740635120 is an abundant number, since it is smaller than the sum of its proper divisors (287419473877392).

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

132323740635120 is a wasteful number, since it uses less digits than its factorization.

132323740635120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12822067950 (or 12822067944 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

Adding to 132323740635120 its reverse (21536047323231), we get a palindrome (153859787958351).

The spelling of 132323740635120 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, seven hundred forty million, six hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 12822067891 25644135782 38466203673 51288271564 64110339455 76932407346 102576543128 128220678910 153864814692 192331018365 205153086256 256441357820 307729629384 384662036730 512882715640 551348919313 615459258768 769324073460 1025765431280 1102697838626 1538648146920 1654046757939 2205395677252 2756744596565 3077296293840 3308093515878 4410791354504 5513489193130 6616187031756 8270233789695 8821582709008 11026978386260 13232374063512 16540467579390 22053956772520 26464748127024 33080935158780 44107913545040 66161870317560 132323740635120