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41234414312142 = 232191371575605489
BaseRepresentation
bin10010110000000101000101…
…00111100001101011001110
312101222222020020020022112100
421120002202213201223032
520401041040030442032
6223410454535015530
711454042140423232
oct1130024247415316
9171888206208470
1041234414312142
111215846499a247
12475b609b0a5a6
131a0150894ba7c
14a27a834105c2
154b7905d4597c
hex2580a29e1ace

41234414312142 has 96 divisors (see below), whose sum is σ = 95333241088800. Its totient is φ = 12844011608064.

The previous prime is 41234414312111. The next prime is 41234414312159. The reversal of 41234414312142 is 24121341443214.

41234414312142 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 4 + 4 + 1 + 431 + 214 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41234414312097 and 41234414312106.

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, 4553334 + ... + 10158822.

It is an arithmetic number, because the mean of its divisors is an integer number (993054594675).

Almost surely, 241234414312142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41234414312142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47666620544400).

41234414312142 is an abundant number, since it is smaller than the sum of its proper divisors (54098826776658).

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

41234414312142 is a wasteful number, since it uses less digits than its factorization.

41234414312142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605810 (or 5605807 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 41234414312142 its reverse (24121341443214), we get a palindrome (65355755755356).

The spelling of 41234414312142 in words is "forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, three hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 157 171 274 314 342 411 471 822 942 1233 1413 2466 2603 2826 2983 5206 5966 7809 8949 15618 17898 21509 23427 26847 43018 46854 53694 64527 129054 193581 387162 408671 817342 1226013 2452026 3678039 5605489 7356078 11210978 16816467 33632934 50449401 100898802 106504291 213008582 319512873 639025746 767951993 880061773 958538619 1535903986 1760123546 1917077238 2303855979 2640185319 4607711958 5280370638 6911567937 7920555957 13823135874 14591087867 15841111914 16721173687 29182175734 33442347374 43773263601 50163521061 87546527202 100327042122 120568462901 131319790803 150490563183 241136925802 262639581606 300981126366 361705388703 723410777406 1085116166109 2170232332218 2290800795119 4581601590238 6872402385357 13744804770714 20617207156071 41234414312142