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4100343701441 = 136735985315373
BaseRepresentation
bin111011101010101111100…
…001111001111111000001
3112111222201000001212220212
4323222233201321333001
51014140000441421231
612415401043443505
7602145224253461
oct73525741717701
915458630055825
104100343701441
111340a4513a749
12562810986595
132398788974c0
14102659cabba1
15719d548742b
hex3baaf879fc1

4100343701441 has 32 divisors (see below), whose sum is σ = 4499706597120. Its totient is φ = 3713455113984.

The previous prime is 4100343701437. The next prime is 4100343701471. The reversal of 4100343701441 is 1441073430014.

It is a cyclic number.

It is not a de Polignac number, because 4100343701441 - 22 = 4100343701437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4100343701398 and 4100343701407.

It is not an unprimeable number, because it can be changed into a prime (4100343701471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266716031 + ... + 266731403.

It is an arithmetic number, because the mean of its divisors is an integer number (140615831160).

Almost surely, 24100343701441 is an apocalyptic number.

It is an amenable number.

4100343701441 is a deficient number, since it is larger than the sum of its proper divisors (399362895679).

4100343701441 is a wasteful number, since it uses less digits than its factorization.

4100343701441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16665.

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 4100343701441 in words is "four trillion, one hundred billion, three hundred forty-three million, seven hundred one thousand, four hundred forty-one".

Divisors: 1 13 67 359 853 871 4667 11089 15373 24053 57151 199849 306227 312689 742963 1029991 3980951 5518907 13113169 13389883 20517209 71745791 170471197 266723717 369766769 878582323 4707627671 4806967997 11421570199 61199159723 315411053957 4100343701441