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2243434331412 = 2232137454873141
BaseRepresentation
bin100000101001010111000…
…110110011110100010100
321221110200210111011222200
4200221113012303310110
5243224023142101122
64434341451324500
7321040252115631
oct40512706636424
97843623434880
102243434331412
1179548721504a
12302961750730
1313372a2bc261
147a8232c5188
153d5546c35ac
hex20a571b3d14

2243434331412 has 36 divisors (see below), whose sum is σ = 5712296917236. Its totient is φ = 742352964480.

The previous prime is 2243434331377. The next prime is 2243434331423. The reversal of 2243434331412 is 2141334343422.

2243434331412 is a `hidden beast` number, since 2 + 2 + 43 + 43 + 433 + 141 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 565979363856 + 1677454967556 = 752316^2 + 1295166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227431639 + ... + 227441502.

Almost surely, 22243434331412 is an apocalyptic number.

It is an amenable number.

2243434331412 is an abundant number, since it is smaller than the sum of its proper divisors (3468862585824).

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

2243434331412 is a wasteful number, since it uses less digits than its factorization.

2243434331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454873288 (or 454873283 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 2243434331412 its reverse (2141334343422), we get a palindrome (4384768674834).

The spelling of 2243434331412 in words is "two trillion, two hundred forty-three billion, four hundred thirty-four million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 454873141 909746282 1364619423 1819492564 2729238846 4093858269 5458477692 8187716538 16375433076 62317620317 124635240634 186952860951 249270481268 373905721902 560858582853 747811443804 1121717165706 2243434331412