Search a number
-
+
4111122642000 = 243531162289737
BaseRepresentation
bin111011110100110010000…
…000010011010001010000
3112120000112012112210121120
4323310302000103101100
51014324034344021000
612424342413522240
7603006310611243
oct73646200232120
915500465483546
104111122642000
111345576611290
1256491a7a3380
1323a8a5a7313a
14102d9d67725a
1571e1690c6a0
hex3bd32013450

4111122642000 has 160 divisors (see below), whose sum is σ = 14459192302464. Its totient is φ = 996635776000.

The previous prime is 4111122641971. The next prime is 4111122642007. The reversal of 4111122642000 is 2462211114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111122642007) 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 31 ways as a sum of consecutive naturals, for example, 31078869 + ... + 31210868.

Almost surely, 24111122642000 is an apocalyptic number.

4111122642000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4111122642000 is an abundant number, since it is smaller than the sum of its proper divisors (10348069660464).

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

4111122642000 is a wasteful number, since it uses less digits than its factorization.

4111122642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62289774 (or 62289758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4111122642000 its reverse (2462211114), we get a palindrome (4113584853114).

The spelling of 4111122642000 in words is "four trillion, one hundred eleven billion, one hundred twenty-two million, six hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 62289737 124579474 186869211 249158948 311448685 373738422 498317896 622897370 685187107 747476844 934346055 996635792 1245794740 1370374214 1494953688 1557243425 1868692110 2055561321 2491589480 2740748428 2989907376 3114486850 3425935535 3737384220 4111122642 4671730275 4983178960 5481496856 6228973700 6851871070 7474768440 7786217125 8222245284 9343460550 10277806605 10962993712 12457947400 13703742140 14949536880 15572434250 16444490568 17129677675 18686921100 20555613210 23358651375 24915894800 27407484280 31144868500 32888981136 34259355350 37373842200 41111226420 46717302750 51389033025 54814968560 62289737000 68518710700 74747684400 82222452840 85648388375 93434605500 102778066050 124579474000 137037421400 164444905680 171296776750 186869211000 205556132100 256945165125 274074842800 342593553500 373738422000 411112264200 513890330250 685187107000 822224528400 1027780660500 1370374214000 2055561321000 4111122642000