Search a number
-
+
40220442000 = 243353744823
BaseRepresentation
bin100101011101010100…
…110011110110010000
310211211000212011002000
4211131110303312100
51124332413121000
630251011354000
72622462054564
oct453524636620
9124730764060
1040220442000
111606a433412
1279658b2900
133a3c94620b
141d379916a4
1510a602d000
hex95d533d90

40220442000 has 160 divisors (see below), whose sum is σ = 144078754560. Its totient is φ = 10725436800.

The previous prime is 40220441999. The next prime is 40220442043. The reversal of 40220442000 is 24402204.

40220442000 is a `hidden beast` number, since 4 + 0 + 220 + 442 + 0 + 0 + 0 = 666.

40220442000 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 (18).

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, 318412 + ... + 426411.

It is an arithmetic number, because the mean of its divisors is an integer number (900492216).

Almost surely, 240220442000 is an apocalyptic number.

40220442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40220442000 is an abundant number, since it is smaller than the sum of its proper divisors (103858312560).

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

40220442000 is a wasteful number, since it uses less digits than its factorization.

40220442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744855 (or 744833 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40220442000 its reverse (24402204), we get a palindrome (40244844204).

The spelling of 40220442000 in words is "forty billion, two hundred twenty million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 744823 1489646 2234469 2979292 3724115 4468938 5958584 6703407 7448230 8937876 11172345 11917168 13406814 14896460 17875752 18620575 20110221 22344690 26813628 29792920 33517035 35751504 37241150 40220442 44689380 53627256 55861725 59585840 67034070 74482300 80440884 89378760 93102875 100551105 107254512 111723450 134068140 148964600 160881768 167585175 178757520 186205750 201102210 223446900 268136280 279308625 297929200 321763536 335170350 372411500 402204420 446893800 502755525 536272560 558617250 670340700 744823000 804408840 837925875 893787600 1005511050 1117234500 1340681400 1489646000 1608817680 1675851750 2011022100 2234469000 2513777625 2681362800 3351703500 4022044200 4468938000 5027555250 6703407000 8044088400 10055110500 13406814000 20110221000 40220442000