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132141031341000 = 23353114004273677
BaseRepresentation
bin11110000010111001111011…
…001110111011101111001000
3122022212120002200012120100220
4132002321323032323233020
5114304444313010403000
61145012430214030040
736555605640632103
oct3602717316735710
9568776080176326
10132141031341000
1139116773311990
12129a1998048320
135896acc26cb96
14248b93522573a
151042458aba1a0
hex782e7b3bbbc8

132141031341000 has 128 divisors (see below), whose sum is σ = 449760019512960. Its totient is φ = 32034189408000.

The previous prime is 132141031340993. The next prime is 132141031341097. The reversal of 132141031341000 is 143130141231.

It is a happy number.

It is a super-2 number, since 2×1321410313410002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2002103839 + ... + 2002169838.

It is an arithmetic number, because the mean of its divisors is an integer number (3513750152445).

Almost surely, 2132141031341000 is an apocalyptic number.

132141031341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132141031341000 is an abundant number, since it is smaller than the sum of its proper divisors (317618988171960).

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

132141031341000 is a wasteful number, since it uses less digits than its factorization.

132141031341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004273712 (or 4004273698 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132141031341000 its reverse (143130141231), we get a palindrome (132284161482231).

The spelling of 132141031341000 in words is "one hundred thirty-two trillion, one hundred forty-one billion, thirty-one million, three hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 4004273677 8008547354 12012821031 16017094708 20021368385 24025642062 32034189416 40042736770 44047010447 48051284124 60064105155 80085473540 88094020894 96102568248 100106841925 120128210310 132141031341 160170947080 176188041788 200213683850 220235052235 240256420620 264282062682 300320525775 352376083576 400427367700 440470104470 480512841240 500534209625 528564125364 600641051550 660705156705 800854735400 880940208940 1001068419250 1057128250728 1101175261175 1201282103100 1321410313410 1501602628875 1761880417880 2002136838500 2202350522350 2402564206200 2642820626820 3003205257750 3303525783525 4004273677000 4404701044700 5285641253640 5505876305875 6006410515500 6607051567050 8809402089400 11011752611750 12012821031000 13214103134100 16517628917625 22023505223500 26428206268200 33035257835250 44047010447000 66070515670500 132141031341000