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1424141100 = 2232523742767
BaseRepresentation
bin101010011100010…
…1010101100101100
310200020202212022200
41110320222230230
510404040003400
6353152141500
750201666604
oct12470525454
93606685280
101424141100
11670988318
12338b37890
13199081a55
14d71d7c04
1585062b00
hex54e2ab2c

1424141100 has 108 divisors (see below), whose sum is σ = 4584644064. Its totient is φ = 369498240.

The previous prime is 1424141093. The next prime is 1424141101. The reversal of 1424141100 is 11414241.

1424141100 is a `hidden beast` number, since 1 + 424 + 141 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1424141101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11917 + ... + 54683.

It is an arithmetic number, because the mean of its divisors is an integer number (42450408).

Almost surely, 21424141100 is an apocalyptic number.

1424141100 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 1424141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1424141100 is an abundant number, since it is smaller than the sum of its proper divisors (3160502964).

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

1424141100 is a wasteful number, since it uses less digits than its factorization.

1424141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42824 (or 42814 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1424141100 is about 37737.7940531770. The cubic root of 1424141100 is about 1125.0824235907.

Adding to 1424141100 its reverse (11414241), we get a palindrome (1435555341).

It can be divided in two parts, 1424141 and 100, that added together give a palindrome (1424241).

The spelling of 1424141100 in words is "one billion, four hundred twenty-four million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 42767 85534 128301 171068 213835 256602 384903 427670 513204 641505 769806 855340 1069175 1283010 1539612 1582379 1924515 2138350 2566020 3164758 3207525 3849030 4276700 4747137 6329516 6415050 7698060 7911895 9494274 9622575 12830100 14241411 15823790 18988548 19245150 23735685 28482822 31647580 38490300 39559475 47471370 56965644 71207055 79118950 94942740 118678425 142414110 158237900 237356850 284828220 356035275 474713700 712070550 1424141100