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2141110304 = 251931311251
BaseRepresentation
bin111111110011110…
…1100000000100000
312112012212200011122
41333213230000200
513341111012204
6552243231412
7104026065044
oct17747540040
95465780148
102141110304
119a9667953
124b9078568
13281782b98
1416450c024
15c7e880be
hex7f9ec020

2141110304 has 48 divisors (see below), whose sum is σ = 4451741280. Its totient is φ = 1010880000.

The previous prime is 2141110297. The next prime is 2141110343. The reversal of 2141110304 is 4030111412.

It is a happy number.

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, 184679 + ... + 195929.

It is an arithmetic number, because the mean of its divisors is an integer number (92744610).

Almost surely, 22141110304 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 2141110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225870640).

2141110304 is an abundant number, since it is smaller than the sum of its proper divisors (2310630976).

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

2141110304 is a wasteful number, since it uses less digits than its factorization.

2141110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593 (or 11585 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2141110304 is about 46272.1331256730. The cubic root of 2141110304 is about 1288.8815705138.

Adding to 2141110304 its reverse (4030111412), we get a palindrome (6171221716).

The spelling of 2141110304 in words is "two billion, one hundred forty-one million, one hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 313 608 626 1252 2504 5008 5947 10016 11251 11894 22502 23788 45004 47576 90008 95152 180016 190304 213769 360032 427538 855076 1710152 3420304 3521563 6840608 7043126 14086252 28172504 56345008 66909697 112690016 133819394 267638788 535277576 1070555152 2141110304