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7141812500 = 2256114269
BaseRepresentation
bin1101010011010111…
…10110100100010100
3200102201120122222002
412221223312210110
5104111301000000
63140401454432
7341660255534
oct65153664424
920381518862
107141812500
113035404489
121473941418
1389a7c9274
144ba7134c4
152bbecc8d5
hex1a9af6914

7141812500 has 42 divisors (see below), whose sum is σ = 15622651590. Its totient is φ = 2856700000.

The previous prime is 7141812481. The next prime is 7141812521. The reversal of 7141812500 is 52181417.

It can be written as a sum of positive squares in 7 ways, for example, as 6325339024 + 816473476 = 79532^2 + 28574^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5366 + ... + 119634.

It is an arithmetic number, because the mean of its divisors is an integer number (371967895).

Almost surely, 27141812500 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 7141812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811325795).

7141812500 is an abundant number, since it is smaller than the sum of its proper divisors (8480839090).

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

7141812500 is an equidigital number, since it uses as much as digits as its factorization.

7141812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114303 (or 114276 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 7141812500 is about 84509.2450563842. The cubic root of 7141812500 is about 1925.7628954586.

Adding to 7141812500 its reverse (52181417), we get a palindrome (7193993917).

The spelling of 7141812500 in words is "seven billion, one hundred forty-one million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 15625 31250 62500 114269 228538 457076 571345 1142690 2285380 2856725 5713450 11426900 14283625 28567250 57134500 71418125 142836250 285672500 357090625 714181250 1428362500 1785453125 3570906250 7141812500