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132452144204300 = 225261317160942571
BaseRepresentation
bin11110000111011011101011…
…000000010100101000001100
3122100222022010122221112200122
4132013123223000110220030
5114330043442404014200
61145411401450244112
736620231415426014
oct3607335300245014
9570868118845618
10132452144204300
1139226703423928
1212a32143126638
1358ba2504c183b
14249ca0a216c44
15104a5b6bae385
hex7876eb014a0c

132452144204300 has 144 divisors (see below), whose sum is σ = 293243552982240. Its totient is φ = 51914421504000.

The previous prime is 132452144204243. The next prime is 132452144204321. The reversal of 132452144204300 is 3402441254231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3111302015 + ... + 3111344585.

Almost surely, 2132452144204300 is an apocalyptic number.

132452144204300 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 132452144204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146621776491120).

132452144204300 is an abundant number, since it is smaller than the sum of its proper divisors (160791408777940).

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

132452144204300 is a wasteful number, since it uses less digits than its factorization.

132452144204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44572 (or 44565 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 132452144204300 its reverse (3402441254231), we get a palindrome (135854585458531).

The spelling of 132452144204300 in words is "one hundred thirty-two trillion, four hundred fifty-two billion, one hundred forty-four million, two hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 317 610 634 1220 1268 1525 1585 1609 3050 3170 3218 6100 6340 6436 7925 8045 15850 16090 19337 31700 32180 38674 40225 42571 77348 80450 85142 96685 98149 160900 170284 193370 196298 212855 386740 392596 425710 483425 490745 510053 851420 966850 981490 1020106 1064275 1933700 1962980 2040212 2128550 2453725 2550265 2596831 4257100 4907450 5100530 5193662 9814900 10201060 10387324 12751325 12984155 13495007 25502650 25968310 26990014 31113233 51005300 51936620 53980028 62226466 64920775 67475035 68496739 124452932 129841550 134950070 136993478 155566165 259683100 269900140 273986956 311132330 337375175 342483695 622264660 674750350 684967390 777830825 823195427 1349500700 1369934780 1555661650 1646390854 1712418475 3111323300 3292781708 3424836950 4115977135 4178301079 6849673900 8231954270 8356602158 16463908540 16713204316 20579885675 20891505395 21713466263 41159771350 41783010790 43426932526 82319542700 83566021580 86853865052 104457526975 108567331315 208915053950 217134662630 417830107900 434269325260 542836656575 1085673313150 1324521442043 2171346626300 2649042884086 5298085768172 6622607210215 13245214420430 26490428840860 33113036051075 66226072102150 132452144204300