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1442114100 = 2232527253617
BaseRepresentation
bin101010111110100…
…1110101000110100
310201111120222122100
41111331032220310
510423140122400
6355033302100
750510524200
oct12575165064
93644528570
101442114100
11680043739
12342b64930
1319ca0566b
14d9755b00
1586913100
hex55f4ea34

1442114100 has 324 divisors, whose sum is σ = 5366117484. Its totient is φ = 322882560.

The previous prime is 1442114087. The next prime is 1442114137. The reversal of 1442114100 is 14112441.

1442114100 is a `hidden beast` number, since 1 + 44 + 211 + 410 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 155600676 + 1286513424 = 12474^2 + 35868^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2336992 + ... + 2337608.

It is an arithmetic number, because the mean of its divisors is an integer number (16562091).

Almost surely, 21442114100 is an apocalyptic number.

1442114100 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 1442114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683058742).

1442114100 is an abundant number, since it is smaller than the sum of its proper divisors (3924003384).

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

1442114100 is a wasteful number, since it uses less digits than its factorization.

1442114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 687 counting only the distinct ones).

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

The square root of 1442114100 is about 37975.1774189404. The cubic root of 1442114100 is about 1129.7955878455.

Adding to 1442114100 its reverse (14112441), we get a palindrome (1456226541).

The spelling of 1442114100 in words is "one billion, four hundred forty-two million, one hundred fourteen thousand, one hundred".