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4412000000 = 28561103
BaseRepresentation
bin1000001101111100…
…11100011100000000
3102101110221211012102
410012332130130000
533013433000000
62005444245532
7214222244522
oct40676343400
912343854172
104412000000
1119645059a1
12a316a08a8
135540a4cb5
142dbd5da12
151ac5093d5
hex106f9c700

4412000000 has 126 divisors (see below), whose sum is σ = 11018296464. Its totient is φ = 1763200000.

The previous prime is 4411999997. The next prime is 4412000063. The reversal of 4412000000 is 2144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999449 + ... + 4000551.

Almost surely, 24412000000 is an apocalyptic number.

4412000000 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 4412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509148232).

4412000000 is an abundant number, since it is smaller than the sum of its proper divisors (6606296464).

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

4412000000 is an frugal number, since it uses more digits than its factorization.

4412000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4412000000 is about 66422.8876216625. The cubic root of 4412000000 is about 1640.1308640369.

Adding to 4412000000 its reverse (2144), we get a palindrome (4412002144).

The spelling of 4412000000 in words is "four billion, four hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1103 1250 1280 1600 2000 2206 2500 3125 3200 4000 4412 5000 5515 6250 6400 8000 8824 10000 11030 12500 15625 16000 17648 20000 22060 25000 27575 31250 32000 35296 40000 44120 50000 55150 62500 70592 80000 88240 100000 110300 125000 137875 141184 160000 176480 200000 220600 250000 275750 282368 352960 400000 441200 500000 551500 689375 705920 800000 882400 1000000 1103000 1378750 1411840 1764800 2000000 2206000 2757500 3446875 3529600 4000000 4412000 5515000 6893750 7059200 8824000 11030000 13787500 17234375 17648000 22060000 27575000 34468750 35296000 44120000 55150000 68937500 88240000 110300000 137875000 176480000 220600000 275750000 441200000 551500000 882400000 1103000000 2206000000 4412000000