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132242450301200 = 24521378923976077
BaseRepresentation
bin11110000100011000011000…
…010001100100000100010000
3122100020020212201212120002002
4132010120120101210010100
5114313130014234114300
61145131202030213132
736566126124601601
oct3604303021440420
9570206781776062
10132242450301200
1139155787706868
12129b95810541a8
1358a3542a39135
1424927d68d1da8
151044de26925d5
hex784618464110

132242450301200 has 60 divisors (see below), whose sum is σ = 317735541110820. Its totient is φ = 52893141742080.

The previous prime is 132242450301163. The next prime is 132242450301257. The reversal of 132242450301200 is 2103054242231.

It can be written as a sum of positive squares in 6 ways, for example, as 1447911637264 + 130794538663936 = 1203292^2 + 11436544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6472439 + ... + 17503638.

It is an arithmetic number, because the mean of its divisors is an integer number (5295592351847).

Almost surely, 2132242450301200 is an apocalyptic number.

132242450301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132242450301200 is an abundant number, since it is smaller than the sum of its proper divisors (185493090809620).

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

132242450301200 is a wasteful number, since it uses less digits than its factorization.

132242450301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23989884 (or 23989873 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 132242450301200 in words is "one hundred thirty-two trillion, two hundred forty-two billion, four hundred fifty million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 13789 27578 55156 68945 110312 137890 220624 275780 344725 551560 689450 1103120 1378900 2757800 5515600 23976077 47952154 95904308 119880385 191808616 239760770 383617232 479521540 599401925 959043080 1198803850 1918086160 2397607700 4795215400 9590430800 330606125753 661212251506 1322424503012 1653030628765 2644849006024 3306061257530 5289698012048 6612122515060 8265153143825 13224245030120 16530306287650 26448490060240 33060612575300 66121225150600 132242450301200