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544231434304 = 2689497319213
BaseRepresentation
bin1111110101101101011…
…10001010100001000000
31221000202102110101101001
413322312232022201000
532404041221344204
61054003320221344
754214363602325
oct7726656124100
91830672411331
10544231434304
1119a897502788
128958600a854
133c422a63acc
141c4ab78ab4c
15e253d584a4
hex7eb6b8a840

544231434304 has 56 divisors (see below), whose sum is σ = 1092370083480. Its totient is φ = 268990132224.

The previous prime is 544231434301. The next prime is 544231434317. The reversal of 544231434304 is 403434132445.

It can be written as a sum of positive squares in 4 ways, for example, as 174022465600 + 370208968704 = 417160^2 + 608448^2 .

It is not an unprimeable number, because it can be changed into a prime (544231434301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28316602 + ... + 28335814.

Almost surely, 2544231434304 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 544231434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546185041740).

544231434304 is an abundant number, since it is smaller than the sum of its proper divisors (548138649176).

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

544231434304 is a wasteful number, since it uses less digits than its factorization.

544231434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24287 (or 24277 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 544231434304 its reverse (403434132445), we get a palindrome (947665566749).

The spelling of 544231434304 in words is "five hundred forty-four billion, two hundred thirty-one million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 4973 5696 9946 19213 19892 38426 39784 76852 79568 153704 159136 307408 318272 442597 614816 885194 1229632 1709957 1770388 3419914 3540776 6839828 7081552 13679656 14163104 27359312 28326208 54718624 95546249 109437248 191092498 382184996 764369992 1528739984 3057479968 6114959936 8503616161 17007232322 34014464644 68028929288 136057858576 272115717152 544231434304