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1442214540 = 223251323127211
BaseRepresentation
bin101010111110110…
…0111001010001100
310201111210002102100
41111331213022030
510423201331130
6355035355100
750511423054
oct12575471214
93644702370
101442214540
11680102148
12342bb2a90
1319ca3c2b0
14d9780564
1586932c60
hex55f6728c

1442214540 has 288 divisors, whose sum is σ = 4978262016. Its totient is φ = 335301120.

The previous prime is 1442214523. The next prime is 1442214541. The reversal of 1442214540 is 454122441.

1442214540 is a `hidden beast` number, since 1 + 442 + 214 + 5 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1442214541) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6835035 + ... + 6835245.

It is an arithmetic number, because the mean of its divisors is an integer number (17285632).

Almost surely, 21442214540 is an apocalyptic number.

1442214540 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 1442214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489131008).

1442214540 is an abundant number, since it is smaller than the sum of its proper divisors (3536047476).

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

1442214540 is a wasteful number, since it uses less digits than its factorization.

1442214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1442214540 is about 37976.4998387160. The cubic root of 1442214540 is about 1129.8218164762.

Adding to 1442214540 its reverse (454122441), we get a palindrome (1896336981).

The spelling of 1442214540 in words is "one billion, four hundred forty-two million, two hundred fourteen thousand, five hundred forty".