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41061244216014 = 232112944811595857
BaseRepresentation
bin10010101011000010100001…
…11000000010001011001110
312101101102020201010222001100
421111201100320002023032
520340221412004403024
6223155135234523530
711435401624043301
oct1125412070021316
9171342221128040
1041061244216014
11120a0a80993a20
124731b3b7365a6
1319bb09bcc6479
14a1d536734b38
154b316d0577c9
hex255850e022ce

41061244216014 has 96 divisors (see below), whose sum is σ = 100423003206240. Its totient is φ = 12011050598400.

The previous prime is 41061244215983. The next prime is 41061244216021.

41061244216014 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 1 + 2 + 4 + 42 + 1 + 601 + 4 = 666.

41061244216014 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 41061244216014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24931974 + ... + 26527830.

It is an arithmetic number, because the mean of its divisors is an integer number (1046072950065).

Almost surely, 241061244216014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41061244216014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50211501603120).

41061244216014 is an abundant number, since it is smaller than the sum of its proper divisors (59361758990226).

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

41061244216014 is a wasteful number, since it uses less digits than its factorization.

41061244216014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600386 (or 1600383 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41061244216014 in words is "forty-one trillion, sixty-one billion, two hundred forty-four million, two hundred sixteen thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 4481 5742 8962 13443 26886 40329 49291 80658 98582 129949 147873 259898 295746 389847 443619 779694 887238 1169541 1429439 1595857 2339082 2858878 3191714 4288317 4787571 8576634 9575142 12864951 14362713 17554427 25729902 28725426 35108854 46279853 52663281 92559706 105326562 138839559 157989843 277679118 315979686 416518677 509078383 833037354 1018156766 1527235149 3054470298 4581705447 7151035217 9163410894 14302070434 21453105651 42906211302 64359316953 78661387387 128718633906 157322774774 207380021293 235984162161 414760042586 471968324322 622140063879 707952486483 1244280127758 1415904972966 1866420191637 2281180234223 3732840383274 4562360468446 6843540702669 13687081405338 20530622108007 41061244216014