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2142143029 = 132953107209
BaseRepresentation
bin111111110101110…
…1000001000110101
312112021211010210201
41333223220020311
513341342034104
6552321320501
7104040625645
oct17753501065
95467733721
102142143029
119aa202844
124b9496131
13281a54c70
141646da525
15c80de0a4
hex7fae8235

2142143029 has 16 divisors (see below), whose sum is σ = 2431522800. Its totient is φ = 1873138176.

The previous prime is 2142143027. The next prime is 2142143057. The reversal of 2142143029 is 9203412412.

It can be written as a sum of positive squares in 8 ways, for example, as 399080529 + 1743062500 = 19977^2 + 41750^2 .

It is not a de Polignac number, because 2142143029 - 21 = 2142143027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142142988 and 2142143006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142143023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33624 + ... + 73585.

It is an arithmetic number, because the mean of its divisors is an integer number (151970175).

Almost surely, 22142143029 is an apocalyptic number.

2142143029 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2142143029 is a deficient number, since it is larger than the sum of its proper divisors (289379771).

2142143029 is a wasteful number, since it uses less digits than its factorization.

2142143029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107304.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2142143029 is about 46283.2910346704. The cubic root of 2142143029 is about 1289.0887599442.

The spelling of 2142143029 in words is "two billion, one hundred forty-two million, one hundred forty-three thousand, twenty-nine".

Divisors: 1 13 29 53 377 689 1537 19981 107209 1393717 3109061 5682077 40417793 73867001 164780233 2142143029