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410142441141013 = 723710321110409197
BaseRepresentation
bin101110101000001011011101…
…0100000101111001100010101
31222210012020022220122001122111
41131100112322200233030111
5412224233204413003023
64012144500352031021
7152250546015112300
oct13520267240571425
91883166286561574
10410142441141013
111097584836a6169
123a000429832471
13147b135cc29ba9
14733d000293b37
153263b2d24400d
hex17505ba82f315

410142441141013 has 48 divisors (see below), whose sum is σ = 497101326593664. Its totient is φ = 337123047219840.

The previous prime is 410142441140987. The next prime is 410142441141073. The reversal of 410142441141013 is 310141144241014.

It is a de Polignac number, because none of the positive numbers 2k-410142441141013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410142441141073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34197331 + ... + 44606527.

It is an arithmetic number, because the mean of its divisors is an integer number (10356277637368).

Almost surely, 2410142441141013 is an apocalyptic number.

It is an amenable number.

410142441141013 is a deficient number, since it is larger than the sum of its proper divisors (86958885452651).

410142441141013 is a wasteful number, since it uses less digits than its factorization.

410142441141013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409562 (or 10409555 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 410142441141013 its reverse (310141144241014), we get a palindrome (720283585382027).

The spelling of 410142441141013 in words is "four hundred ten trillion, one hundred forty-two billion, four hundred forty-one million, one hundred forty-one thousand, thirteen".

Divisors: 1 7 37 49 103 211 259 721 1477 1813 3811 5047 7807 10339 21733 26677 54649 152131 186739 382543 804121 1064917 5628847 10409197 39401929 72864379 385140289 510050653 1072147291 2196340567 2695982023 7505031037 15374383969 18871874161 39669449767 52535217259 81264600979 107620687783 226223078401 277686148369 568852206853 1583561548807 1943803038583 3981965447971 8370253900837 11084930841649 58591777305859 410142441141013