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2141234320 = 245171574437
BaseRepresentation
bin111111110100000…
…1010010010010000
312112020002222021211
41333220022102100
513341123444240
6552250025504
7104030122441
oct17750122220
95466088254
102141234320
119a9742045
124b9118294
132817c7474
141645412c8
15c7eaebea
hex7fa0a490

2141234320 has 40 divisors (see below), whose sum is σ = 5271218424. Its totient is φ = 806111232.

The previous prime is 2141234311. The next prime is 2141234377. The reversal of 2141234320 is 234321412.

It can be written as a sum of positive squares in 4 ways, for example, as 392990976 + 1748243344 = 19824^2 + 41812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2141234291 and 2141234300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785859 + ... + 788578.

Almost surely, 22141234320 is an apocalyptic number.

2141234320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141234320 is an abundant number, since it is smaller than the sum of its proper divisors (3129984104).

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

2141234320 is a wasteful number, since it uses less digits than its factorization.

2141234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574467 (or 1574461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2141234320 is about 46273.4731784853. The cubic root of 2141234320 is about 1288.9064546203.

Adding to 2141234320 its reverse (234321412), we get a palindrome (2375555732).

The spelling of 2141234320 in words is "two billion, one hundred forty-one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1574437 3148874 6297748 7872185 12595496 15744370 25190992 26765429 31488740 53530858 62977480 107061716 125954960 133827145 214123432 267654290 428246864 535308580 1070617160 2141234320