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411141888993 = 311291673138219
BaseRepresentation
bin1011111101110011111…
…01110101101111100001
31110022020011222222100010
411332321331311233201
523214004310421433
6512513113315133
741463323252253
oct5767175655741
91408204888303
10411141888993
11149400972520
1267822705aa9
132ca02a84a74
1415c83c49cd3
15aa64b63e63
hex5fb9f75be1

411141888993 has 64 divisors (see below), whose sum is σ = 624414873600. Its totient is φ = 238350927360.

The previous prime is 411141888961. The next prime is 411141889007. The reversal of 411141888993 is 399888141114.

It is not a de Polignac number, because 411141888993 - 25 = 411141888961 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (411141888793) 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, 50019238 + ... + 50027456.

It is an arithmetic number, because the mean of its divisors is an integer number (9756482400).

Almost surely, 2411141888993 is an apocalyptic number.

It is an amenable number.

411141888993 is a deficient number, since it is larger than the sum of its proper divisors (213272984607).

411141888993 is a wasteful number, since it uses less digits than its factorization.

411141888993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742.

The product of its digits is 1990656, while the sum is 57.

The spelling of 411141888993 in words is "four hundred eleven billion, one hundred forty-one million, eight hundred eighty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 11 29 33 87 167 313 319 501 939 957 1837 3443 4843 5511 8219 9077 10329 14529 24657 27231 52271 53273 90409 99847 156813 159819 238351 271227 299541 574981 715053 1372573 1515859 1724943 2572547 2621861 4117719 4547577 7717641 7865583 15098303 16674449 28298017 39804617 45294909 50023347 74603863 84894051 119413851 223811589 429615349 437850787 820642493 1288846047 1313552361 2461927479 4725768839 12458845121 14177306517 37376535363 137047296331 411141888993