Search a number
-
+
2141445000 = 23354367389
BaseRepresentation
bin111111110100011…
…1101101110001000
312112020111200021210
41333220331232020
513341202220000
6552254333120
7104031660612
oct17750755610
95466450253
102141445000
119a9876362
124b91ba1a0
1328186c326
14164597db2
15c8002350
hex7fa3db88

2141445000 has 160 divisors (see below), whose sum is σ = 6725347200. Its totient is φ = 568032000.

The previous prime is 2141444971. The next prime is 2141445011. The reversal of 2141445000 is 5441412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5504806 + ... + 5505194.

It is an arithmetic number, because the mean of its divisors is an integer number (42033420).

Almost surely, 22141445000 is an apocalyptic number.

2141445000 is a gapful number since it is divisible by the number (20) 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 2141445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362673600).

2141445000 is an abundant number, since it is smaller than the sum of its proper divisors (4583902200).

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

2141445000 is a wasteful number, since it uses less digits than its factorization.

2141445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2141445000 is about 46275.7495887425. The cubic root of 2141445000 is about 1288.9487258630.

Adding to 2141445000 its reverse (5441412), we get a palindrome (2146886412).

The spelling of 2141445000 in words is "two billion, one hundred forty-one million, four hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 367 375 389 500 600 625 734 750 778 1000 1101 1167 1250 1468 1500 1556 1835 1875 1945 2202 2334 2500 2936 3000 3112 3670 3750 3890 4404 4668 5000 5505 5835 7340 7500 7780 8808 9175 9336 9725 11010 11670 14680 15000 15560 18350 19450 22020 23340 27525 29175 36700 38900 44040 45875 46680 48625 55050 58350 73400 77800 91750 97250 110100 116700 137625 142763 145875 183500 194500 220200 229375 233400 243125 275250 285526 291750 367000 389000 428289 458750 486250 550500 571052 583500 688125 713815 729375 856578 917500 972500 1101000 1142104 1167000 1376250 1427630 1458750 1713156 1835000 1945000 2141445 2752500 2855260 2917500 3426312 3569075 4282890 5505000 5710520 5835000 7138150 8565780 10707225 14276300 17131560 17845375 21414450 28552600 35690750 42828900 53536125 71381500 85657800 89226875 107072250 142763000 178453750 214144500 267680625 356907500 428289000 535361250 713815000 1070722500 2141445000