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2141134410 = 235678911969
BaseRepresentation
bin111111110011111…
…0001111001001010
312112012220220020110
41333213301321022
513341112300120
6552243535150
7104026225242
oct17747617112
95465826213
102141134410
119a9683a78
124b908a4b6
13281790b4c
14164516b22
15c7e902e0
hex7f9f1e4a

2141134410 has 64 divisors (see below), whose sum is σ = 5274460800. Its totient is φ = 556081152.

The previous prime is 2141134403. The next prime is 2141134417. The reversal of 2141134410 is 144311412.

It is an interprime number because it is at equal distance from previous prime (2141134403) and next prime (2141134417).

It is not an unprimeable number, because it can be changed into a prime (2141134417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172906 + ... + 184874.

It is an arithmetic number, because the mean of its divisors is an integer number (82413450).

Almost surely, 22141134410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141134410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637230400).

2141134410 is an abundant number, since it is smaller than the sum of its proper divisors (3133326390).

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

2141134410 is a wasteful number, since it uses less digits than its factorization.

2141134410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12135.

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

The square root of 2141134410 is about 46272.3936056911. The cubic root of 2141134410 is about 1288.8864075155.

Adding to 2141134410 its reverse (144311412), we get a palindrome (2285445822).

The spelling of 2141134410 in words is "two billion, one hundred forty-one million, one hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 89 134 178 201 267 335 402 445 534 670 890 1005 1335 2010 2670 5963 11926 11969 17889 23938 29815 35778 35907 59630 59845 71814 89445 119690 178890 179535 359070 801923 1065241 1603846 2130482 2405769 3195723 4009615 4811538 5326205 6391446 8019230 10652410 12028845 15978615 24057690 31957230 71371147 142742294 214113441 356855735 428226882 713711470 1070567205 2141134410