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2141132344 = 2313191099941
BaseRepresentation
bin111111110011111…
…0001011000111000
312112012220210101221
41333213301120320
513341112213334
6552243521424
7104026216231
oct17747613070
95465823357
102141132344
119a968246a
124b9089274
1328178cc20
14164516088
15c7e8e8b4
hex7f9f1638

2141132344 has 64 divisors (see below), whose sum is σ = 4593204000. Its totient is φ = 927521280.

The previous prime is 2141132309. The next prime is 2141132369. The reversal of 2141132344 is 4432311412.

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 15 ways as a sum of consecutive naturals, for example, 210414 + ... + 220354.

Almost surely, 22141132344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141132344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296602000).

2141132344 is an abundant number, since it is smaller than the sum of its proper divisors (2452071656).

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

2141132344 is a wasteful number, since it uses less digits than its factorization.

2141132344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10084 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 2141132344 is about 46272.3712813597. The cubic root of 2141132344 is about 1288.8859929626.

Adding to 2141132344 its reverse (4432311412), we get a palindrome (6573443756).

The spelling of 2141132344 in words is "two billion, one hundred forty-one million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 109 152 218 247 436 494 872 988 1417 1976 2071 2834 4142 5668 8284 9941 11336 16568 19882 26923 39764 53846 79528 107692 129233 188879 215384 258466 377758 516932 755516 1033864 1083569 1511032 2167138 2455427 4334276 4910854 8668552 9821708 14086397 19643416 20587811 28172794 41175622 56345588 82351244 112691176 164702488 267641543 535283086 1070566172 2141132344