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531341103040 = 26511272955313
BaseRepresentation
bin1111011101101100110…
…01011100111111000000
31212210111002000201010121
413232312121130333000
532201141310244130
61044032243510024
753250061566526
oct7566631347700
91783432021117
10531341103040
11195382223050
1286b89088314
133b14a30c767
141ba0780c316
15dc4c36ad7a
hex7bb665cfc0

531341103040 has 112 divisors (see below), whose sum is σ = 1380810019680. Its totient is φ = 193140654080.

The previous prime is 531341102989. The next prime is 531341103053. The reversal of 531341103040 is 40301143135.

It is a junction number, because it is equal to n+sod(n) for n = 531341102996 and 531341103014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9578424 + ... + 9633736.

It is an arithmetic number, because the mean of its divisors is an integer number (12328660890).

Almost surely, 2531341103040 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 531341103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690405009840).

531341103040 is an abundant number, since it is smaller than the sum of its proper divisors (849468916640).

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

531341103040 is a wasteful number, since it uses less digits than its factorization.

531341103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58070 (or 58060 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 531341103040 its reverse (40301143135), we get a palindrome (571642246175).

The spelling of 531341103040 in words is "five hundred thirty-one billion, three hundred forty-one million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 2729 3520 5458 10916 13645 21832 27290 30019 43664 54580 55313 60038 87328 109160 110626 120076 150095 174656 218320 221252 240152 276565 300190 436640 442504 480304 553130 600380 608443 873280 885008 960608 1106260 1200760 1216886 1770016 1921216 2212520 2401520 2433772 3042215 3540032 4425040 4803040 4867544 6084430 8850080 9606080 9735088 12168860 17700160 19470176 24337720 38940352 48675440 97350880 150949177 194701760 301898354 603796708 754745885 1207593416 1509491770 1660440947 2415186832 3018983540 3320881894 4830373664 6037967080 6641763788 8302204735 9660747328 12075934160 13283527576 16604409470 24151868320 26567055152 33208818940 48303736640 53134110304 66417637880 106268220608 132835275760 265670551520 531341103040