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1442716000 = 25531132789
BaseRepresentation
bin101010111111110…
…0001100101100000
310201112201120021221
41111333201211200
510423313403000
6355054224424
750515612045
oct12577414540
93645646257
101442716000
11680414980
123431b5114
1319cb8660b
14d98711cc
15869d161a
hex55fe1960

1442716000 has 96 divisors (see below), whose sum is σ = 3867121440. Its totient is φ = 524608000.

The previous prime is 1442715973. The next prime is 1442716003. The reversal of 1442716000 is 6172441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442716003) 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, 27606 + ... + 60394.

It is an arithmetic number, because the mean of its divisors is an integer number (40282515).

Almost surely, 21442716000 is an apocalyptic number.

1442716000 is a gapful number since it is divisible by the number (10) 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 1442716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933560720).

1442716000 is an abundant number, since it is smaller than the sum of its proper divisors (2424405440).

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

1442716000 is a wasteful number, since it uses less digits than its factorization.

1442716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32825 (or 32807 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1442716000 is about 37983.1015058012. The cubic root of 1442716000 is about 1129.9527481743.

Adding to 1442716000 its reverse (6172441), we get a palindrome (1448888441).

The spelling of 1442716000 in words is "one billion, four hundred forty-two million, seven hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 32789 44000 65578 131156 163945 262312 327890 360679 524624 655780 721358 819725 1049248 1311560 1442716 1639450 1803395 2623120 2885432 3278900 3606790 4098625 5246240 5770864 6557800 7213580 8197250 9016975 11541728 13115600 14427160 16394500 18033950 26231200 28854320 32789000 36067900 45084875 57708640 65578000 72135800 90169750 131156000 144271600 180339500 288543200 360679000 721358000 1442716000