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1442011340 = 22571173101127
BaseRepresentation
bin101010111110011…
…0101100011001100
310201111101202200102
41111330311203030
510423123330330
6355031150232
750506615460
oct12574654314
93644352612
101442011340
1167aa83510
12342b15378
1319c99a963
14d972a4a0
15868e2945
hex55f358cc

1442011340 has 192 divisors, whose sum is σ = 3895492608. Its totient is φ = 435456000.

The previous prime is 1442011331. The next prime is 1442011387. The reversal of 1442011340 is 431102441.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 11354357 + ... + 11354483.

It is an arithmetic number, because the mean of its divisors is an integer number (20289024).

Almost surely, 21442011340 is an apocalyptic number.

1442011340 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 1442011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947746304).

1442011340 is an abundant number, since it is smaller than the sum of its proper divisors (2453481268).

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

1442011340 is a wasteful number, since it uses less digits than its factorization.

1442011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1442011340 is about 37973.8244057667. The cubic root of 1442011340 is about 1129.7687521158.

Adding to 1442011340 its reverse (431102441), we get a palindrome (1873113781).

It can be divided in two parts, 144201 and 1340, that added together give a palindrome (145541).

The spelling of 1442011340 in words is "one billion, four hundred forty-two million, eleven thousand, three hundred forty".