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1442431000 = 23532949739
BaseRepresentation
bin101010111111001…
…1100000000011000
310201112012002100101
41111332130000120
510423230243000
6355044145144
750513314123
oct12576340030
93645162311
101442431000
1168023a83a
123430981b4
1319cab698a
14d97d93ba
1586976e6a
hex55f9c018

1442431000 has 64 divisors (see below), whose sum is σ = 3491748000. Its totient is φ = 557065600.

The previous prime is 1442430989. The next prime is 1442431013. The reversal of 1442431000 is 1342441.

It is a super-2 number, since 2×14424310002 = 4161214379522000000, which contains 22 as substring.

It is a congruent number.

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, 4131 + ... + 53869.

Almost surely, 21442431000 is an apocalyptic number.

1442431000 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 1442431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745874000).

1442431000 is an abundant number, since it is smaller than the sum of its proper divisors (2049317000).

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

1442431000 is a wasteful number, since it uses less digits than its factorization.

1442431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49789 (or 49775 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1442431000 is about 37979.3496521465. The cubic root of 1442431000 is about 1129.8783381169.

Adding to 1442431000 its reverse (1342441), we get a palindrome (1443773441).

The spelling of 1442431000 in words is "one billion, four hundred forty-two million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 49739 99478 198956 248695 397912 497390 994780 1243475 1442431 1989560 2486950 2884862 4973900 5769724 6217375 7212155 9947800 11539448 12434750 14424310 24869500 28848620 36060775 49739000 57697240 72121550 144243100 180303875 288486200 360607750 721215500 1442431000