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35415141131140 = 2254394033615163
BaseRepresentation
bin10000000110101101110101…
…11010000010001110000100
311122101122200002002102002221
420003112322322002032010
514120220202112144030
6203153254034542124
710313442132503011
oct1003267272021604
9148348602072087
1035415141131140
1110314527996931
123b7b837137944
13169b8309a2a34
148a615db76708
154163682d4e7a
hex2035bae82384

35415141131140 has 24 divisors (see below), whose sum is σ = 74541208230720. Its totient is φ = 14133787527648.

The previous prime is 35415141131101. The next prime is 35415141131213. The reversal of 35415141131140 is 4113114151453.

It is a super-3 number, since 3×354151411311403 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35415141131096 and 35415141131105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2016798802 + ... + 2016816361.

It is an arithmetic number, because the mean of its divisors is an integer number (3105883676280).

Almost surely, 235415141131140 is an apocalyptic number.

It is an amenable number.

35415141131140 is an abundant number, since it is smaller than the sum of its proper divisors (39126067099580).

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

35415141131140 is a wasteful number, since it uses less digits than its factorization.

35415141131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033615611 (or 4033615609 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

Adding to 35415141131140 its reverse (4113114151453), we get a palindrome (39528255282593).

The spelling of 35415141131140 in words is "thirty-five trillion, four hundred fifteen billion, one hundred forty-one million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 439 878 1756 2195 4390 8780 4033615163 8067230326 16134460652 20168075815 40336151630 80672303260 1770757056557 3541514113114 7083028226228 8853785282785 17707570565570 35415141131140