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414111340422119 = 37596719141147919
BaseRepresentation
bin101111000101000011100111…
…1010101111110001111100111
32000022020122202022211112202002
41132022013033111332033213
5413234300011122001434
64024424042401435515
7153140362026300524
oct13612071725761747
92008218668745662
10414111340422119
1110aa486a689836a
123a54167603bb9b
1314a0b6bb5ba582
14743914ad0014b
1532d1ebdb4b57e
hex178a1cf57e3e7

414111340422119 has 32 divisors (see below), whose sum is σ = 438993378585600. Its totient is φ = 390155190860160.

The previous prime is 414111340422067. The next prime is 414111340422167. The reversal of 414111340422119 is 911224043111414.

It is a cyclic number.

It is not a de Polignac number, because 414111340422119 - 212 = 414111340418023 is a prime.

It is a super-2 number, since 2×4141113404221192 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414111340422319) 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, 2799507842 + ... + 2799655760.

It is an arithmetic number, because the mean of its divisors is an integer number (13718543080800).

Almost surely, 2414111340422119 is an apocalyptic number.

414111340422119 is a deficient number, since it is larger than the sum of its proper divisors (24882038163481).

414111340422119 is a wasteful number, since it uses less digits than its factorization.

414111340422119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167223.

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 414111340422119 in words is "four hundred fourteen trillion, one hundred eleven billion, three hundred forty million, four hundred twenty-two thousand, one hundred nineteen".

Divisors: 1 37 59 67 2183 2479 3953 19141 146261 147919 708217 1129319 1282447 5473003 8727221 9910573 41784803 47450539 75664373 322907177 366691201 584723807 2799581801 2831317579 21634780859 104758750423 167047737161 189698277793 6180766274957 7018836278341 11192198389787 414111340422119