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2144752128 = 2933473301
BaseRepresentation
bin111111111010110…
…0101001000000000
312112110201200211000
41333311211020000
513343024032003
6552453252000
7104102043441
oct17765451000
95473650730
102144752128
11a00725022
124ba334000
132824596cc
14164bb92c8
15c84571a3
hex7fd65200

2144752128 has 160 divisors (see below), whose sum is σ = 6485656320. Its totient is φ = 699494400.

The previous prime is 2144752111. The next prime is 2144752133. The reversal of 2144752128 is 8212574412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2144752092 and 2144752101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648078 + ... + 651378.

It is an arithmetic number, because the mean of its divisors is an integer number (40535352).

Almost surely, 22144752128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242828160).

2144752128 is an abundant number, since it is smaller than the sum of its proper divisors (4340904192).

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

2144752128 is an equidigital number, since it uses as much as digits as its factorization.

2144752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3353 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2144752128 is about 46311.4686443866. The cubic root of 2144752128 is about 1289.6119113809.

The spelling of 2144752128 in words is "two billion, one hundred forty-four million, seven hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 512 564 576 752 768 846 864 1128 1152 1269 1504 1536 1692 1728 2256 2304 2538 3008 3301 3384 3456 4512 4608 5076 6016 6602 6768 6912 9024 9903 10152 12032 13204 13536 13824 18048 19806 20304 24064 26408 27072 29709 36096 39612 40608 52816 54144 59418 72192 79224 81216 89127 105632 108288 118836 155147 158448 162432 178254 211264 216576 237672 310294 316896 324864 356508 422528 465441 475344 620588 633792 649728 713016 845056 930882 950688 1241176 1267584 1396323 1426032 1690112 1861764 1901376 2482352 2535168 2792646 2852064 3723528 3802752 4188969 4964704 5070336 5585292 5704128 7447056 7605504 8377938 9929408 11170584 11408256 14894112 15211008 16755876 19858816 22341168 22816512 29788224 33511752 39717632 44682336 45633024 59576448 67023504 79435264 89364672 119152896 134047008 178729344 238305792 268094016 357458688 536188032 714917376 1072376064 2144752128