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1442302000 = 24536611091
BaseRepresentation
bin101010111110111…
…1100100000110000
310201111221112101121
41111331330200300
510423212131000
6355041312024
750512236046
oct12575744060
93644845347
101442302000
11680161927
12343035614
1319ca70049
14d97a4396
158694db1a
hex55f7c830

1442302000 has 80 divisors (see below), whose sum is σ = 3495963744. Its totient is φ = 575520000.

The previous prime is 1442301961. The next prime is 1442302073. The reversal of 1442302000 is 2032441.

1442302000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1321455 + ... + 1322545.

Almost surely, 21442302000 is an apocalyptic number.

1442302000 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 1442302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747981872).

1442302000 is an abundant number, since it is smaller than the sum of its proper divisors (2053661744).

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

1442302000 is a wasteful number, since it uses less digits than its factorization.

1442302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1442302000 is about 37977.6513228504. The cubic root of 1442302000 is about 1129.8446545528.

Adding to 1442302000 its reverse (2032441), we get a palindrome (1444334441).

The spelling of 1442302000 in words is "one billion, four hundred forty-two million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 661 1000 1091 1322 2000 2182 2644 3305 4364 5288 5455 6610 8728 10576 10910 13220 16525 17456 21820 26440 27275 33050 43640 52880 54550 66100 82625 87280 109100 132200 136375 165250 218200 264400 272750 330500 436400 545500 661000 721151 1091000 1322000 1442302 2182000 2884604 3605755 5769208 7211510 11538416 14423020 18028775 28846040 36057550 57692080 72115100 90143875 144230200 180287750 288460400 360575500 721151000 1442302000