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4413440000 = 21454431
BaseRepresentation
bin1000001110000111…
…11100000000000000
3102101120122222111202
410013003330000000
533014320040000
62005535200332
7214240423004
oct40703740000
912346588452
104413440000
1119652a9882
12a320760a8
1355448a578
142dc216704
151ac6e0dd5
hex1070fc000

4413440000 has 150 divisors (see below), whose sum is σ = 11055323664. Its totient is φ = 1761280000.

The previous prime is 4413439999. The next prime is 4413440011. The reversal of 4413440000 is 443144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10239785 + ... + 10240215.

Almost surely, 24413440000 is an apocalyptic number.

4413440000 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 4413440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527661832).

4413440000 is an abundant number, since it is smaller than the sum of its proper divisors (6641883664).

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

4413440000 is an frugal number, since it uses more digits than its factorization.

4413440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4413440000 is about 66433.7263744854. The cubic root of 4413440000 is about 1640.3092813489.

Adding to 4413440000 its reverse (443144), we get a palindrome (4413883144).

The spelling of 4413440000 in words is "four billion, four hundred thirteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 431 500 512 625 640 800 862 1000 1024 1250 1280 1600 1724 2000 2048 2155 2500 2560 3200 3448 4000 4096 4310 5000 5120 6400 6896 8000 8192 8620 10000 10240 10775 12800 13792 16000 16384 17240 20000 20480 21550 25600 27584 32000 34480 40000 40960 43100 51200 53875 55168 64000 68960 80000 81920 86200 102400 107750 110336 128000 137920 160000 172400 204800 215500 220672 256000 269375 275840 320000 344800 409600 431000 441344 512000 538750 551680 640000 689600 862000 882688 1024000 1077500 1103360 1280000 1379200 1724000 1765376 2048000 2155000 2206720 2560000 2758400 3448000 3530752 4310000 4413440 5120000 5516800 6896000 7061504 8620000 8826880 10240000 11033600 13792000 17240000 17653760 22067200 27584000 34480000 35307520 44134400 55168000 68960000 88268800 110336000 137920000 176537600 220672000 275840000 441344000 551680000 882688000 1103360000 2206720000 4413440000