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2141342412 = 2231123705317
BaseRepresentation
bin111111110100010…
…0100101011001100
312112020022110120020
41333220210223030
513341140424122
6552252222140
7104031052536
oct17750445314
95466273506
102141342412
119a9806280
124b916a950
13281834721
1416456c856
15c7ed1c5c
hex7fa24acc

2141342412 has 48 divisors (see below), whose sum is σ = 5687684352. Its totient is φ = 620678080.

The previous prime is 2141342381. The next prime is 2141342417. The reversal of 2141342412 is 2142431412.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2141342417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 349623 + ... + 355694.

It is an arithmetic number, because the mean of its divisors is an integer number (118493424).

Almost surely, 22141342412 is an apocalyptic number.

2141342412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2141342412 is an abundant number, since it is smaller than the sum of its proper divisors (3546341940).

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

2141342412 is a wasteful number, since it uses less digits than its factorization.

2141342412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705358 (or 705356 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2141342412 is about 46274.6411331304. The cubic root of 2141342412 is about 1288.9281427546.

Adding to 2141342412 its reverse (2142431412), we get a palindrome (4283773824).

The spelling of 2141342412 in words is "two billion, one hundred forty-one million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 705317 1410634 2115951 2821268 4231902 7758487 8463804 15516974 16222291 23275461 31033948 32444582 46550922 48666873 64889164 93101844 97333746 178445201 194667492 356890402 535335603 713780804 1070671206 2141342412