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41100140102142 = 231117115333739419
BaseRepresentation
bin10010101100001010111110…
…10000000100000111111110
312101112010122102121201001110
421112011133100010013332
520341341041331232032
6223225051012422450
711441246533445232
oct1126053720040776
9171463572551043
1041100140102142
1112106520677960
124739595917a26
1319c195a3b76c4
14a213864125c2
154b4197b447cc
hex25615f4041fe

41100140102142 has 128 divisors (see below), whose sum is σ = 95068531837440. Its totient is φ = 11707083325440.

The previous prime is 41100140102137. The next prime is 41100140102149. The reversal of 41100140102142 is 24120104100114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41100140102149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4363530709 + ... + 4363540127.

It is an arithmetic number, because the mean of its divisors is an integer number (742722904980).

Almost surely, 241100140102142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41100140102142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47534265918720).

41100140102142 is an abundant number, since it is smaller than the sum of its proper divisors (53968391735298).

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

41100140102142 is a wasteful number, since it uses less digits than its factorization.

41100140102142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13978.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 41100140102142 its reverse (24120104100114), we get a palindrome (65220244202256).

The spelling of 41100140102142 in words is "forty-one trillion, one hundred billion, one hundred forty million, one hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1153 2306 3373 3459 6746 6918 9419 10119 12683 18838 19601 20238 25366 28257 37103 38049 39202 56514 57341 58803 74206 76098 103609 111309 114682 117606 160123 172023 207218 215611 222618 310827 320246 344046 431222 480369 621654 630751 646833 960738 1261502 1293666 1761353 1892253 3522706 3784506 3889069 5284059 7778138 10568118 10860107 11667207 21720214 23334414 31770287 32580321 42779759 63540574 65160642 66114173 85559518 95310861 119461177 128339277 132228346 184621819 190621722 198342519 238922354 256678554 349473157 358383531 369243638 396685038 540094879 553865457 698946314 716767062 727255903 1048419471 1080189758 1107730914 1454511806 1620284637 2030840009 2096838942 2181767709 3240569274 4061680018 4363535418 5941043669 6092520027 11882087338 12185040054 17823131007 35646262014 36631140911 73262281822 109893422733 219786845466 402942550021 622729395487 805885100042 1208827650063 1245458790974 1868188186461 2417655300126 3736376372922 6850023350357 13700046700714 20550070051071 41100140102142