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10441414542 = 23132431012371
BaseRepresentation
bin10011011100101101…
…10101011110001110
3222221200100211001010
421232112311132032
5132341000231132
64444031430050
7516514362546
oct115626653616
928850324033
1010441414542
1144789a7319
122034985326
13ca529c400
14710a28326
15411a026cc
hex26e5b578e

10441414542 has 96 divisors (see below), whose sum is σ = 23377597056. Its totient is φ = 3105648000.

The previous prime is 10441414483. The next prime is 10441414549. The reversal of 10441414542 is 24541414401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441414549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402617 + ... + 4404987.

It is an arithmetic number, because the mean of its divisors is an integer number (243516636).

Almost surely, 210441414542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10441414542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11688798528).

10441414542 is an abundant number, since it is smaller than the sum of its proper divisors (12936182514).

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

10441414542 is a wasteful number, since it uses less digits than its factorization.

10441414542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 10441414542 its reverse (24541414401), we get a palindrome (34982828943).

The spelling of 10441414542 in words is "ten billion, four hundred forty-one million, four hundred fourteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 101 129 169 202 258 303 338 507 559 606 1014 1118 1313 1677 2371 2626 3354 3939 4343 4742 7113 7267 7878 8686 13029 14226 14534 17069 21801 26058 30823 34138 43602 51207 56459 61646 92469 101953 102414 112918 169377 184938 203906 239471 305859 338754 400699 478942 611718 718413 733967 801398 1202097 1325389 1436826 1467934 2201901 2404194 2650778 3113123 3976167 4403802 6226246 7952334 9339369 10297253 17230057 18678738 20594506 30891759 34460114 40470599 51690171 61783518 80941198 103380342 121411797 133864289 242823594 267728578 401592867 803185734 1740235757 3480471514 5220707271 10441414542