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2142015440 = 24550353231
BaseRepresentation
bin111111110101100…
…1000111111010000
312112021120122210012
41333223020333100
513341323443230
6552314454052
7104036554655
oct17753107720
95467518705
102142015440
119aa1259a4
124b9434328
13281a0bb76
141646a5c2c
15c80b6395
hex7fac8fd0

2142015440 has 40 divisors (see below), whose sum is σ = 4990180608. Its totient is φ = 855086720.

The previous prime is 2142015409. The next prime is 2142015451. The reversal of 2142015440 is 445102412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13625 + ... + 66855.

Almost surely, 22142015440 is an apocalyptic number.

2142015440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142015440 is an abundant number, since it is smaller than the sum of its proper divisors (2848165168).

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

2142015440 is a wasteful number, since it uses less digits than its factorization.

2142015440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53747 (or 53741 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2142015440 is about 46281.9126657488. The cubic root of 2142015440 is about 1289.0631661332.

Adding to 2142015440 its reverse (445102412), we get a palindrome (2587117852).

The spelling of 2142015440 in words is "two billion, one hundred forty-two million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 503 1006 2012 2515 4024 5030 8048 10060 20120 40240 53231 106462 212924 266155 425848 532310 851696 1064620 2129240 4258480 26775193 53550386 107100772 133875965 214201544 267751930 428403088 535503860 1071007720 2142015440