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4023120000 = 2735416763
BaseRepresentation
bin1110111111001011…
…1111000010000000
3101101101012200010110
43233302333002000
531214404320000
61503113231320
7201460645554
oct35762770200
911341180113
104023120000
111784a45669
12943402540
134c1657ca3
142a2451864
151882e0850
hexefcbf080

4023120000 has 160 divisors (see below), whose sum is σ = 13354537680. Its totient is φ = 1072768000.

The previous prime is 4023119987. The next prime is 4023120011. The reversal of 4023120000 is 213204.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 19 ways as a sum of consecutive naturals, for example, 231619 + ... + 248381.

Almost surely, 24023120000 is an apocalyptic number.

4023120000 is a gapful number since it is divisible by the number (40) 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 4023120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677268840).

4023120000 is an abundant number, since it is smaller than the sum of its proper divisors (9331417680).

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

4023120000 is an equidigital number, since it uses as much as digits as its factorization.

4023120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16800 (or 16773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4023120000 is about 63428.0694960835. The cubic root of 4023120000 is about 1590.4535710073.

Adding to 4023120000 its reverse (213204), we get a palindrome (4023333204).

The spelling of 4023120000 in words is "four billion, twenty-three million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 16763 20000 24000 30000 33526 40000 48000 50289 60000 67052 80000 83815 100578 120000 134104 167630 201156 240000 251445 268208 335260 402312 419075 502890 536416 670520 804624 838150 1005780 1072832 1257225 1341040 1609248 1676300 2011560 2095375 2145664 2514450 2682080 3218496 3352600 4023120 4190750 5028900 5364160 6286125 6436992 6705200 8046240 8381500 10057800 10476875 10728320 12572250 13410400 16092480 16763000 20115600 20953750 25144500 26820800 31430625 32184960 33526000 40231200 41907500 50289000 53641600 62861250 67052000 80462400 83815000 100578000 125722500 134104000 160924800 167630000 201156000 251445000 268208000 335260000 402312000 502890000 670520000 804624000 1005780000 1341040000 2011560000 4023120000