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1424201000 = 235359101239
BaseRepresentation
bin101010011100011…
…1001010100101000
310200020212220111012
41110320321110220
510404043413000
6353153323052
750202336335
oct12470712450
93606786435
101424201000
11670a19322
12338b66488
131990a30b1
14d721198c
1585075735
hex54e39528

1424201000 has 128 divisors (see below), whose sum is σ = 3436992000. Its totient is φ = 552160000.

The previous prime is 1424200957. The next prime is 1424201017. The reversal of 1424201000 is 1024241.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5958881 + ... + 5959119.

It is an arithmetic number, because the mean of its divisors is an integer number (26851500).

Almost surely, 21424201000 is an apocalyptic number.

1424201000 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 1424201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

1424201000 is an abundant number, since it is smaller than the sum of its proper divisors (2012791000).

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

1424201000 is a wasteful number, since it uses less digits than its factorization.

1424201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1424201000 is about 37738.5876789262. The cubic root of 1424201000 is about 1125.0981971898.

Adding to 1424201000 its reverse (1024241), we get a palindrome (1425225241).

The spelling of 1424201000 in words is "one billion, four hundred twenty-four million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 101 118 125 200 202 236 239 250 295 404 472 478 500 505 590 808 956 1000 1010 1180 1195 1475 1912 2020 2360 2390 2525 2950 4040 4780 5050 5900 5959 5975 7375 9560 10100 11800 11918 11950 12625 14101 14750 20200 23836 23900 24139 25250 28202 29500 29795 29875 47672 47800 48278 50500 56404 59000 59590 59750 70505 96556 101000 112808 119180 119500 120695 141010 148975 193112 238360 239000 241390 282020 297950 352525 482780 564040 595900 603475 705050 744875 965560 1191800 1206950 1410100 1424201 1489750 1762625 2413900 2820200 2848402 2979500 3017375 3525250 4827800 5696804 5959000 6034750 7050500 7121005 11393608 12069500 14101000 14242010 24139000 28484020 35605025 56968040 71210050 142420100 178025125 284840200 356050250 712100500 1424201000