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2141114340 = 22357127079
BaseRepresentation
bin111111110011110…
…1100111111100100
312112012212212201010
41333213230333210
513341111124330
6552243302220
7104026112601
oct17747547744
95465785633
102141114340
119a966a992
124b907a970
13281784981
1416450d6a8
15c7e893b0
hex7f9ecfe4

2141114340 has 72 divisors (see below), whose sum is σ = 6081606720. Its totient is φ = 562842560.

The previous prime is 2141114323. The next prime is 2141114383. The reversal of 2141114340 is 434111412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298921 + ... + 305999.

It is an arithmetic number, because the mean of its divisors is an integer number (84466760).

Almost surely, 22141114340 is an apocalyptic number.

2141114340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040803360).

2141114340 is an abundant number, since it is smaller than the sum of its proper divisors (3940492380).

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

2141114340 is a wasteful number, since it uses less digits than its factorization.

2141114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2141114340 is about 46272.1767372143. The cubic root of 2141114340 is about 1288.8823803619.

Adding to 2141114340 its reverse (434111412), we get a palindrome (2575225752).

The spelling of 2141114340 in words is "two billion, one hundred forty-one million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 5041 7079 10082 14158 15123 20164 21237 25205 28316 30246 35395 42474 50410 60492 70790 75615 84948 100820 106185 141580 151230 212370 302460 424740 502609 1005218 1507827 2010436 2513045 3015654 5026090 6031308 7539135 10052180 15078270 30156540 35685239 71370478 107055717 142740956 178426195 214111434 356852390 428222868 535278585 713704780 1070557170 2141114340