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43111424000 = 2135342101
BaseRepresentation
bin101000001001101001…
…000010000000000000
311010021111202020211102
4220021221002000000
51201243011032000
631445523233532
73054225025541
oct501151020000
9133244666742
1043111424000
1117313302a37
128431b188a8
1340b087a358
14212d8da4c8
1511c4c3a3d5
hexa09a42000

43111424000 has 112 divisors (see below), whose sum is σ = 107602102296. Its totient is φ = 17244160000.

The previous prime is 43111423991. The next prime is 43111424009. The reversal of 43111424000 is 42411134.

It is an interprime number because it is at equal distance from previous prime (43111423991) and next prime (43111424009).

It can be written as a sum of positive squares in 4 ways, for example, as 18705485824 + 24405938176 = 136768^2 + 156224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (43111424009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002950 + ... + 1045050.

Almost surely, 243111424000 is an apocalyptic number.

43111424000 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 43111424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53801051148).

43111424000 is an abundant number, since it is smaller than the sum of its proper divisors (64490678296).

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

43111424000 is an frugal number, since it uses more digits than its factorization.

43111424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42142 (or 42108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 43111424000 its reverse (42411134), we get a palindrome (43153835134).

The spelling of 43111424000 in words is "forty-three billion, one hundred eleven million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 4096 5120 6400 8000 8192 10240 12800 16000 20480 25600 32000 40960 42101 51200 64000 84202 102400 128000 168404 204800 210505 256000 336808 421010 512000 673616 842020 1024000 1052525 1347232 1684040 2105050 2694464 3368080 4210100 5262625 5388928 6736160 8420200 10525250 10777856 13472320 16840400 21050500 21555712 26944640 33680800 42101000 43111424 53889280 67361600 84202000 86222848 107778560 134723200 168404000 172445696 215557120 269446400 336808000 344891392 431114240 538892800 673616000 862228480 1077785600 1347232000 1724456960 2155571200 2694464000 4311142400 5388928000 8622284800 10777856000 21555712000 43111424000