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132311443341200 = 24528917761209257
BaseRepresentation
bin11110000101011000101000…
…100101000111111110010000
3122100110211221222110010111212
4132011120220211013332100
5114320242313443404300
61145223012110355252
736604120624012034
oct3605305045077620
9570424858403455
10132311443341200
1139181a71460992
1212a0aa167bbb28
1358a9bb967a666
142495c9d8a81c4
151046ace699935
hex785628947f90

132311443341200 has 120 divisors (see below), whose sum is σ = 321469543148040. Its totient is φ = 52326722764800.

The previous prime is 132311443341127. The next prime is 132311443341251. The reversal of 132311443341200 is 2143344113231.

It can be written as a sum of positive squares in 12 ways, for example, as 82009759493776 + 50301683847424 = 9055924^2 + 7092368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632186972 + ... + 632396228.

It is an arithmetic number, because the mean of its divisors is an integer number (2678912859567).

Almost surely, 2132311443341200 is an apocalyptic number.

132311443341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132311443341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160734771574020).

132311443341200 is an abundant number, since it is smaller than the sum of its proper divisors (189158099806840).

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

132311443341200 is a wasteful number, since it uses less digits than its factorization.

132311443341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227125 (or 227114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 132311443341200 its reverse (2143344113231), we get a palindrome (134454787454431).

The spelling of 132311443341200 in words is "one hundred thirty-two trillion, three hundred eleven billion, four hundred forty-three million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 712 890 1424 1780 2225 3560 4450 7120 8900 17761 17800 35522 35600 71044 88805 142088 177610 209257 284176 355220 418514 444025 710440 837028 888050 1046285 1420880 1580729 1674056 1776100 2092570 3161458 3348112 3552200 4185140 5231425 6322916 7104400 7903645 8370280 10462850 12645832 15807290 16740560 18623873 20925700 25291664 31614580 37247746 39518225 41851400 63229160 74495492 79036450 83702800 93119365 126458320 148990984 158072900 186238730 297981968 316145800 372477460 465596825 632291600 744954920 931193650 1489909840 1862387300 3716613577 3724774600 7433227154 7449549200 14866454308 18583067885 29732908616 37166135770 59465817232 74332271540 92915339425 148664543080 185830678850 297329086160 330778608353 371661357700 661557216706 743322715400 1323114433412 1486645430800 1653893041765 2646228866824 3307786083530 5292457733648 6615572167060 8269465208825 13231144334120 16538930417650 26462288668240 33077860835300 66155721670600 132311443341200