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2240134144 = 2108326357
BaseRepresentation
bin1000010110000101…
…1011110000000000
312210010012121100021
42011201123300000
514041433243034
61010141503224
7106340553223
oct20541336000
95703177307
102240134144
11a4a551a36
12526271b14
13299144281
141737275ba
15d19e86b4
hex8585bc00

2240134144 has 44 divisors (see below), whose sum is σ = 4532205384. Its totient is φ = 1106530304.

The previous prime is 2240134139. The next prime is 2240134177. The reversal of 2240134144 is 4414310422.

It is a super-2 number, since 2×22401341442 = 10036401966229225472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71814 + ... + 98170.

Almost surely, 22240134144 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 2240134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266102692).

2240134144 is an abundant number, since it is smaller than the sum of its proper divisors (2292071240).

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

2240134144 is an equidigital number, since it uses as much as digits as its factorization.

2240134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26460 (or 26442 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2240134144 is about 47330.0553982351. The cubic root of 2240134144 is about 1308.4526422397.

Adding to 2240134144 its reverse (4414310422), we get a palindrome (6654444566).

The spelling of 2240134144 in words is "two billion, two hundred forty million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 2656 5312 10624 21248 26357 42496 52714 84992 105428 210856 421712 843424 1686848 2187631 3373696 4375262 6747392 8750524 13494784 17501048 26989568 35002096 70004192 140008384 280016768 560033536 1120067072 2240134144