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132341224440 = 23352397494327
BaseRepresentation
bin111101101000000100…
…1101101001111111000
3110122121002100202210010
41323100021231033320
54132013323140230
6140444031421520
712363352563405
oct1732011551770
9418532322703
10132341224440
1151142197767
12217949848a0
13c630c51939
1465963c92ac
1536986799b0
hex1ed026d3f8

132341224440 has 128 divisors (see below), whose sum is σ = 418557404160. Its totient is φ = 33408528384.

The previous prime is 132341224439. The next prime is 132341224447. The reversal of 132341224440 is 44422143231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132341224398 and 132341224407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132341224447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20557 + ... + 514883.

It is an arithmetic number, because the mean of its divisors is an integer number (3269979720).

Almost surely, 2132341224440 is an apocalyptic number.

132341224440 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 132341224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209278702080).

132341224440 is an abundant number, since it is smaller than the sum of its proper divisors (286216179720).

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

132341224440 is a wasteful number, since it uses less digits than its factorization.

132341224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494461 (or 494457 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 132341224440 its reverse (44422143231), we get a palindrome (176763367671).

The spelling of 132341224440 in words is "one hundred thirty-two billion, three hundred forty-one million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 97 115 120 138 184 194 230 276 291 345 388 460 485 552 582 690 776 920 970 1164 1380 1455 1940 2231 2328 2760 2910 3880 4462 5820 6693 8924 11155 11640 13386 17848 22310 26772 33465 44620 53544 66930 89240 133860 267720 494327 988654 1482981 1977308 2471635 2965962 3954616 4943270 5931924 7414905 9886540 11369521 11863848 14829810 19773080 22739042 29659620 34108563 45478084 47949719 56847605 59319240 68217126 90956168 95899438 113695210 136434252 143849157 170542815 191798876 227390420 239748595 272868504 287698314 341085630 383597752 454780840 479497190 575396628 682171260 719245785 958994380 1102843537 1150793256 1364342520 1438491570 1917988760 2205687074 2876983140 3308530611 4411374148 5514217685 5753966280 6617061222 8822748296 11028435370 13234122444 16542653055 22056870740 26468244888 33085306110 44113741480 66170612220 132341224440