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2142143340 = 2235101353489
BaseRepresentation
bin111111110101110…
…1000001101101100
312112021211011020020
41333223220031230
513341342041330
6552321322140
7104040626601
oct17753501554
95467734206
102142143340
119aa202aa7
124b9496350
13281a5514c
141646da6a8
15c80de210
hex7fae836c

2142143340 has 48 divisors (see below), whose sum is σ = 6057404640. Its totient is φ = 565580800.

The previous prime is 2142143329. The next prime is 2142143351. The reversal of 2142143340 is 433412412.

It is an interprime number because it is at equal distance from previous prime (2142143329) and next prime (2142143351).

It is a self number, because there is not a number n which added to its sum of digits gives 2142143340.

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 15 ways as a sum of consecutive naturals, for example, 170685 + ... + 182804.

It is an arithmetic number, because the mean of its divisors is an integer number (126195930).

Almost surely, 22142143340 is an apocalyptic number.

2142143340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142143340 is an abundant number, since it is smaller than the sum of its proper divisors (3915261300).

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

2142143340 is a wasteful number, since it uses less digits than its factorization.

2142143340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353602 (or 353600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2142143340 is about 46283.2943944141. The cubic root of 2142143340 is about 1289.0888223282.

Adding to 2142143340 its reverse (433412412), we get a palindrome (2575555752).

The spelling of 2142143340 in words is "two billion, one hundred forty-two million, one hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 353489 706978 1060467 1413956 1767445 2120934 3534890 4241868 5302335 7069780 10604670 21209340 35702389 71404778 107107167 142809556 178511945 214214334 357023890 428428668 535535835 714047780 1071071670 2142143340