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40120300000 = 25551136473
BaseRepresentation
bin100101010111010110…
…110011000111100000
310211120001102102002001
4211113112303013200
51124131244100000
630233033133344
72620134631444
oct452726630740
9124501372061
1040120300000
1116018955230
12793825a254
133a24c82bb1
141d28564824
15109c34b46a
hex9575b31e0

40120300000 has 144 divisors (see below), whose sum is σ = 107705387664. Its totient is φ = 14588800000.

The previous prime is 40120299983. The next prime is 40120300013. The reversal of 40120300000 is 302104.

40120300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 40120300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081764 + ... + 1118236.

It is an arithmetic number, because the mean of its divisors is an integer number (747954081).

Almost surely, 240120300000 is an apocalyptic number.

40120300000 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 40120300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53852693832).

40120300000 is an abundant number, since it is smaller than the sum of its proper divisors (67585087664).

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

40120300000 is an equidigital number, since it uses as much as digits as its factorization.

40120300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36519 (or 36491 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 40120300000 its reverse (302104), we get a palindrome (40120602104).

The spelling of 40120300000 in words is "forty billion, one hundred twenty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 36473 44000 50000 55000 68750 72946 100000 110000 137500 145892 182365 220000 275000 291784 364730 401203 550000 583568 729460 802406 911825 1100000 1167136 1458920 1604812 1823650 2006015 2917840 3209624 3647300 4012030 4559125 5835680 6419248 7294600 8024060 9118250 10030075 12838496 14589200 16048120 18236500 20060150 22795625 29178400 32096240 36473000 40120300 45591250 50150375 64192480 72946000 80240600 91182500 100300750 113978125 145892000 160481200 182365000 200601500 227956250 250751875 320962400 364730000 401203000 455912500 501503750 729460000 802406000 911825000 1003007500 1253759375 1604812000 1823650000 2006015000 2507518750 3647300000 4012030000 5015037500 8024060000 10030075000 20060150000 40120300000