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4412143400 = 235274497019
BaseRepresentation
bin1000001101111101…
…11111011100101000
3102101111020002220112
410012332333130220
533014002042100
62005451313452
7214223412560
oct40676773450
912344202815
104412143400
1119645a3705
12a3174b888
13554125352
142dbd99da0
151ac536b35
hex106fbf728

4412143400 has 96 divisors (see below), whose sum is σ = 11751480000. Its totient is φ = 1509150720.

The previous prime is 4412143381. The next prime is 4412143447. The reversal of 4412143400 is 43412144.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625091 + ... + 632109.

It is an arithmetic number, because the mean of its divisors is an integer number (122411250).

Almost surely, 24412143400 is an apocalyptic number.

4412143400 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 4412143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875740000).

4412143400 is an abundant number, since it is smaller than the sum of its proper divisors (7339336600).

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

4412143400 is a wasteful number, since it uses less digits than its factorization.

4412143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4412143400 is about 66423.9670600906. The cubic root of 4412143400 is about 1640.1486331679.

Adding to 4412143400 its reverse (43412144), we get a palindrome (4455555544).

The spelling of 4412143400 in words is "four billion, four hundred twelve million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 449 700 898 1400 1796 2245 3143 3592 4490 6286 7019 8980 11225 12572 14038 15715 17960 22450 25144 28076 31430 35095 44900 49133 56152 62860 70190 78575 89800 98266 125720 140380 157150 175475 196532 245665 280760 314300 350950 393064 491330 628600 701900 982660 1228325 1403800 1965320 2456650 3151531 4913300 6303062 9826600 12606124 15757655 22060717 25212248 31515310 44121434 63030620 78788275 88242868 110303585 126061240 157576550 176485736 220607170 315153100 441214340 551517925 630306200 882428680 1103035850 2206071700 4412143400