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10243440114564 = 22329431157959119
BaseRepresentation
bin1001010100001111110010…
…0110111111101110000100
31100021021002221202101211210
42111003330212333232010
52320312031132131224
633441434343331420
72105030665232526
oct225037446775604
940237087671753
1010243440114564
11329a244998248
1211952b7450b70
13593c4c1597a7
14275adc62ba16
1512b6c6dcc429
hex950fc9bfb84

10243440114564 has 96 divisors (see below), whose sum is σ = 25303170816000. Its totient is φ = 3219738431616.

The previous prime is 10243440114517. The next prime is 10243440114619. The reversal of 10243440114564 is 46541104434201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173238597 + ... + 173297715.

It is an arithmetic number, because the mean of its divisors is an integer number (263574696000).

Almost surely, 210243440114564 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 10243440114564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651585408000).

10243440114564 is an abundant number, since it is smaller than the sum of its proper divisors (15059730701436).

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

10243440114564 is a wasteful number, since it uses less digits than its factorization.

10243440114564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70777 (or 70775 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 10243440114564 its reverse (46541104434201), we get a palindrome (56784544548765).

The spelling of 10243440114564 in words is "ten trillion, two hundred forty-three billion, four hundred forty million, one hundred fourteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 7482 11579 14964 23158 34737 46316 59119 69474 118238 138948 177357 236476 335791 354714 497897 671582 709428 995794 1007373 1343164 1493691 1714451 1991588 2014746 2542117 2987382 3428902 4029492 5084234 5143353 5974764 6857804 7626351 10168468 10286706 14439013 15252702 20573412 28878026 30505404 43317039 57756052 73721393 86634078 147442786 173268156 221164179 294885572 442328358 684538901 884656716 1369077802 2053616703 2738155604 4107233406 8214466812 19851628129 29435172743 39703256258 58870345486 59554884387 79406512516 88305518229 117740690972 119109768774 176611036458 238219537548 353222072916 853620009547 1707240019094 2560860028641 3414480038188 5121720057282 10243440114564