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132444114440 = 23511301009351
BaseRepresentation
bin111101101011001001…
…0001100111000001000
3110122212020222010022212
41323112102030320020
54132221143130230
6140502145004252
712366042253301
oct1732622147010
9418766863285
10132444114440
1151195282520
1221803323688
13c6493679b1
1465a5d2d7a8
1536a2700895
hex1ed648ce08

132444114440 has 32 divisors (see below), whose sum is σ = 325090100160. Its totient is φ = 48161496000.

The previous prime is 132444114371. The next prime is 132444114443. The reversal of 132444114440 is 44411444231.

It is a junction number, because it is equal to n+sod(n) for n = 132444114397 and 132444114406.

It is not an unprimeable number, because it can be changed into a prime (132444114443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150504236 + ... + 150505115.

It is an arithmetic number, because the mean of its divisors is an integer number (10159065630).

Almost surely, 2132444114440 is an apocalyptic number.

132444114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132444114440 is an abundant number, since it is smaller than the sum of its proper divisors (192645985720).

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

132444114440 is a wasteful number, since it uses less digits than its factorization.

132444114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301009373 (or 301009369 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 132444114440 its reverse (44411444231), we get a palindrome (176855558671).

Subtracting from 132444114440 its reverse (44411444231), we obtain a square (88032670209 = 2967032).

The spelling of 132444114440 in words is "one hundred thirty-two billion, four hundred forty-four million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 301009351 602018702 1204037404 1505046755 2408074808 3010093510 3311102861 6020187020 6622205722 12040374040 13244411444 16555514305 26488822888 33111028610 66222057220 132444114440