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132444341200 = 245217191025111
BaseRepresentation
bin111101101011001001…
…1000100001111010000
3110122212021101122101101
41323112103010033100
54132221222404300
6140502153514144
712366044216353
oct1732623041720
9418767348341
10132444341200
1151195417926
1221803412954
13c649416c82
1465a5d8c29a
1536a2747b6a
hex1ed64c43d0

132444341200 has 120 divisors (see below), whose sum is σ = 354647747520. Its totient is φ = 47237068800.

The previous prime is 132444341179. The next prime is 132444341201. The reversal of 132444341200 is 2143444231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132444341201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383356 + ... + 641755.

It is an arithmetic number, because the mean of its divisors is an integer number (2955397896).

Almost surely, 2132444341200 is an apocalyptic number.

132444341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132444341200 is an abundant number, since it is smaller than the sum of its proper divisors (222203406320).

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

132444341200 is a wasteful number, since it uses less digits than its factorization.

132444341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025165 (or 1025154 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132444341200 its reverse (2143444231), we get a palindrome (134587785431).

The spelling of 132444341200 in words is "one hundred thirty-two billion, four hundred forty-four million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 19 20 25 34 38 40 50 68 76 80 85 95 100 136 152 170 190 200 272 304 323 340 380 400 425 475 646 680 760 850 950 1292 1360 1520 1615 1700 1900 2584 3230 3400 3800 5168 6460 6800 7600 8075 12920 16150 25840 32300 64600 129200 1025111 2050222 4100444 5125555 8200888 10251110 16401776 17426887 19477109 20502220 25627775 34853774 38954218 41004440 51255550 69707548 77908436 82008880 87134435 97385545 102511100 139415096 155816872 174268870 194771090 205022200 278830192 311633744 331110853 348537740 389542180 410044400 435672175 486927725 662221706 697075480 779084360 871344350 973855450 1324443412 1394150960 1558168720 1655554265 1742688700 1947710900 2648886824 3311108530 3485377400 3895421800 5297773648 6622217060 6970754800 7790843600 8277771325 13244434120 16555542650 26488868240 33111085300 66222170600 132444341200