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4103144000 = 2653563911
BaseRepresentation
bin1111010010010001…
…0000001001000000
3101120221210022102022
43310210100021000
531400401102000
61515052341012
7203452101644
oct36444201100
911527708368
104103144000
1118161328aa
12966174768
135050c6277
142acd22c24
1519034b585
hexf4910240

4103144000 has 112 divisors (see below), whose sum is σ = 10190658816. Its totient is φ = 1636544000.

The previous prime is 4103143999. The next prime is 4103144009. The reversal of 4103144000 is 4413014.

It is a self number, because there is not a number n which added to its sum of digits gives 4103144000.

It is not an unprimeable number, because it can be changed into a prime (4103144009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4503545 + ... + 4504455.

Almost surely, 24103144000 is an apocalyptic number.

4103144000 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 4103144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095329408).

4103144000 is an abundant number, since it is smaller than the sum of its proper divisors (6087514816).

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

4103144000 is an equidigital number, since it uses as much as digits as its factorization.

4103144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4103144000 is about 64055.7881849876. The cubic root of 4103144000 is about 1600.9296680520.

Adding to 4103144000 its reverse (4413014), we get a palindrome (4107557014).

The spelling of 4103144000 in words is "four billion, one hundred three million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 563 800 911 1000 1126 1600 1822 2000 2252 2815 3644 4000 4504 4555 5630 7288 8000 9008 9110 11260 14075 14576 18016 18220 22520 22775 28150 29152 36032 36440 45040 45550 56300 58304 70375 72880 90080 91100 112600 113875 140750 145760 180160 182200 225200 227750 281500 291520 364400 450400 455500 512893 563000 728800 900800 911000 1025786 1126000 1457600 1822000 2051572 2252000 2564465 3644000 4103144 4504000 5128930 7288000 8206288 10257860 12822325 16412576 20515720 25644650 32825152 41031440 51289300 64111625 82062880 102578600 128223250 164125760 205157200 256446500 410314400 512893000 820628800 1025786000 2051572000 4103144000