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15242231334 = 231133076217
BaseRepresentation
bin11100011001000000…
…11111111000100110
31110100020221120121110
432030200133320212
5222204002400314
611000245525450
71046500554141
oct161440377046
943306846543
1015242231334
11651192a000
122b54713886
13158ba9b6c5
14a4847b058
155e3211a59
hex38c81fe26

15242231334 has 64 divisors (see below), whose sum is σ = 33645249792. Its totient is φ = 4603072320.

The previous prime is 15242231327. The next prime is 15242231351. The reversal of 15242231334 is 43313224251.

15242231334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2448594 + ... + 2454810.

It is an arithmetic number, because the mean of its divisors is an integer number (525707028).

Almost surely, 215242231334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15242231334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822624896).

15242231334 is an abundant number, since it is smaller than the sum of its proper divisors (18403018458).

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

15242231334 is a wasteful number, since it uses less digits than its factorization.

15242231334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6540 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 15242231334 its reverse (43313224251), we get a palindrome (58555455585).

The spelling of 15242231334 in words is "fifteen billion, two hundred forty-two million, two hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 307 363 614 726 921 1331 1842 2662 3377 3993 6217 6754 7986 10131 12434 18651 20262 37147 37302 68387 74294 111441 136774 205161 222882 408617 410322 752257 817234 1225851 1504514 1908619 2256771 2451702 3817238 4513542 5725857 8274827 11451714 16549654 20994809 24824481 41989618 49648962 62984427 125968854 230942899 461885798 692828697 1385657394 2540371889 5080743778 7621115667 15242231334