Search a number
-
+
1442949120 = 21133517307
BaseRepresentation
bin101011000000001…
…1010100000000000
310201120011102002000
41112000122200000
510423343332440
6355103224000
750520602514
oct12600324000
93646142060
101442949120
11680564038
123432a8000
1319cc38762
14d98d2144
1586a2a730
hex5601a800

1442949120 has 384 divisors, whose sum is σ = 5448643200. Its totient is φ = 360972288.

The previous prime is 1442949097. The next prime is 1442949139. The reversal of 1442949120 is 219492441.

1442949120 is a `hidden beast` number, since 1 + 442 + 94 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700007 + ... + 4700313.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 21442949120 is an apocalyptic number.

1442949120 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 1442949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724321600).

1442949120 is an abundant number, since it is smaller than the sum of its proper divisors (4005694080).

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

1442949120 is a wasteful number, since it uses less digits than its factorization.

1442949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1442949120 is about 37986.1701149247. The cubic root of 1442949120 is about 1130.0136057046.

The spelling of 1442949120 in words is "one billion, four hundred forty-two million, nine hundred forty-nine thousand, one hundred twenty".