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1442412100 = 225261236461
BaseRepresentation
bin101010111111001…
…0111011001000100
310201112011010102101
41111332113121010
510423224141400
6355043521444
750513205043
oct12576273104
93645133371
101442412100
11680227618
12343089284
1319caab1ac
14d97d255a
158697156a
hex55f97644

1442412100 has 36 divisors (see below), whose sum is σ = 3181359748. Its totient is φ = 567504000.

The previous prime is 1442412071. The next prime is 1442412137. The reversal of 1442412100 is 12142441.

It can be written as a sum of positive squares in 6 ways, for example, as 566725636 + 875686464 = 23806^2 + 29592^2 .

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 11 ways as a sum of consecutive naturals, for example, 112131 + ... + 124330.

Almost surely, 21442412100 is an apocalyptic number.

1442412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442412100 is an abundant number, since it is smaller than the sum of its proper divisors (1738947648).

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

1442412100 is a wasteful number, since it uses less digits than its factorization.

1442412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236536 (or 236529 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1442412100 is about 37979.1008319049. The cubic root of 1442412100 is about 1129.8734032086.

Adding to 1442412100 its reverse (12142441), we get a palindrome (1454554541).

The spelling of 1442412100 in words is "one billion, four hundred forty-two million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 236461 472922 945844 1182305 2364610 4729220 5911525 11823050 14424121 23646100 28848242 57696484 72120605 144241210 288482420 360603025 721206050 1442412100