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132144341141000 = 2353792927571477
BaseRepresentation
bin11110000010111101000000…
…100000110100011000001000
3122022212212122100011211102002
4132002331000200310120020
5114310023102313003000
61145014134450330132
736556053650521556
oct3602750040643010
9568785570154362
10132144341141000
113911811163a691
12129a2560589948
135897208ba3a16
14248bb6aa32bd6
15104259e4568d5
hex782f40834608

132144341141000 has 128 divisors (see below), whose sum is σ = 313239435724800. Its totient is φ = 52170729811200.

The previous prime is 132144341140997. The next prime is 132144341141017. The reversal of 132144341141000 is 141143441231.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 230947262 + ... + 231518738.

It is an arithmetic number, because the mean of its divisors is an integer number (2447183091600).

Almost surely, 2132144341141000 is an apocalyptic number.

132144341141000 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 132144341141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156619717862400).

132144341141000 is an abundant number, since it is smaller than the sum of its proper divisors (181095094583800).

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

132144341141000 is a wasteful number, since it uses less digits than its factorization.

132144341141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574504 (or 574490 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 132144341141000 its reverse (141143441231), we get a palindrome (132285484582231).

The spelling of 132144341141000 in words is "one hundred thirty-two trillion, one hundred forty-four billion, three hundred forty-one million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 2927 3160 3950 5854 7900 9875 11708 14635 15800 19750 23416 29270 39500 58540 73175 79000 117080 146350 231233 292700 365875 462466 571477 585400 731750 924932 1142954 1156165 1463500 1849864 2285908 2312330 2857385 2927000 4571816 4624660 5714770 5780825 9249320 11429540 11561650 14286925 22859080 23123300 28573850 28904125 45146683 46246600 57147700 57808250 71434625 90293366 114295400 115616500 142869250 180586732 225733415 231233000 285738500 361173464 451466830 571477000 902933660 1128667075 1672713179 1805867320 2257334150 3345426358 4514668300 5643335375 6690852716 8363565895 9029336600 11286670750 13381705432 16727131790 22573341500 33454263580 41817829475 45146683000 66908527160 83635658950 132144341141 167271317900 209089147375 264288682282 334542635800 418178294750 528577364564 660721705705 836356589500 1057154729128 1321443411410 1672713179000 2642886822820 3303608528525 5285773645640 6607217057050 13214434114100 16518042642625 26428868228200 33036085285250 66072170570500 132144341141000