Search a number
-
+
132004132042000 = 2453671607613009
BaseRepresentation
bin11110000000111010011011…
…011001100011010100010000
3122022101110201221000121202111
4132000322123121203110100
5114300223430300321000
61144425505554555104
736542661310040311
oct3600723331432420
9568343657017674
10132004132042000
1139073702219359
121297b350898a94
135886c22bc000a
142485069734608
15103dae51cecba
hex780e9b663510

132004132042000 has 160 divisors (see below), whose sum is σ = 324152076867840. Its totient is φ = 51981116774400.

The previous prime is 132004132041979. The next prime is 132004132042037. The reversal of 132004132042000 is 240231400231.

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, 215031496 + ... + 215644504.

It is an arithmetic number, because the mean of its divisors is an integer number (2025950480424).

Almost surely, 2132004132042000 is an apocalyptic number.

132004132042000 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 132004132042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162076038433920).

132004132042000 is an abundant number, since it is smaller than the sum of its proper divisors (192147944825840).

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

132004132042000 is a wasteful number, since it uses less digits than its factorization.

132004132042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614706 (or 614690 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 132004132042000 its reverse (240231400231), we get a palindrome (132244363442231).

The spelling of 132004132042000 in words is "one hundred thirty-two trillion, four billion, one hundred thirty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1607 1675 2000 2680 3214 3350 5360 6428 6700 8035 8375 12856 13400 16070 16750 25712 26800 32140 33500 40175 64280 67000 80350 107669 128560 134000 160700 200875 215338 321400 401750 430676 538345 613009 642800 803500 861352 1076690 1226018 1607000 1722704 2153380 2452036 2691725 3065045 3214000 4306760 4904072 5383450 6130090 8613520 9808144 10766900 12260180 13458625 15325225 21533800 24520360 26917250 30650450 41071603 43067600 49040720 53834500 61300900 76626125 82143206 107669000 122601800 153252250 164286412 205358015 215338000 245203600 306504500 328572824 410716030 613009000 657145648 821432060 985105463 1026790075 1226018000 1642864120 1970210926 2053580150 3285728240 3940421852 4107160300 4925527315 5133950375 7880843704 8214320600 9851054630 10267900750 15761687408 16428641200 19702109260 20535801500 24627636575 39404218520 41071603000 49255273150 66002066021 78808437040 82143206000 98510546300 123138182875 132004132042 197021092600 246276365750 264008264084 330010330105 394042185200 492552731500 528016528168 660020660210 985105463000 1056033056336 1320041320420 1650051650525 1970210926000 2640082640840 3300103301050 5280165281680 6600206602100 8250258252625 13200413204200 16500516505250 26400826408400 33001033010500 66002066021000 132004132042000