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20411410414031 = 71323314143178439
BaseRepresentation
bin1001010010000011001101…
…10111011111100111001111
32200021022102021201222002122
410221001212313133213033
510133410032031222111
6111224512243043155
74204450530603050
oct451014667374717
980238367658078
1020411410414031
11655a48106637a
122357a500704bb
13b50a31896150
14507cbba06727
15255e3338ccdb
hex129066ddf9cf

20411410414031 has 128 divisors (see below), whose sum is σ = 28364388433920. Its totient is φ = 14245347916800.

The previous prime is 20411410414019. The next prime is 20411410414033. The reversal of 20411410414031 is 13041401411402.

It is a happy number.

It is not a de Polignac number, because 20411410414031 - 210 = 20411410413007 is a prime.

It is a super-2 number, since 2×204114104140312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411410414033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114299510 + ... + 114477948.

It is an arithmetic number, because the mean of its divisors is an integer number (221596784640).

Almost surely, 220411410414031 is an apocalyptic number.

20411410414031 is a deficient number, since it is larger than the sum of its proper divisors (7952978019889).

20411410414031 is a wasteful number, since it uses less digits than its factorization.

20411410414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178597.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 20411410414031 its reverse (13041401411402), we get a palindrome (33452811825433).

The spelling of 20411410414031 in words is "twenty trillion, four hundred eleven billion, four hundred ten million, four hundred fourteen thousand, thirty-one".

Divisors: 1 7 13 23 31 41 43 91 161 217 287 299 301 403 533 559 713 943 989 1271 1333 1763 2093 2821 3731 3913 4991 6601 6923 8897 9269 9331 12259 12341 12857 16523 17329 22919 29233 30659 40549 54653 64883 85813 89999 115661 121303 160433 178439 204631 214613 283843 380029 382571 398567 527137 710489 1249073 1257019 2319707 2660203 2789969 3689959 4104097 4973423 5531609 7315999 7672877 8799133 16237949 16341247 28728679 38721263 51211993 53353261 53710139 71910917 95107987 99747401 114388729 127227007 168267977 176476171 226795969 237859187 314587957 373472827 503376419 665755909 698231807 890589049 1177875839 1235333197 1587571783 1653951091 1665014309 2187483701 2202115699 2294190223 2948347597 3092169431 4089643441 5216307287 5470761301 7235523011 9752226667 11577657637 15312385907 16059331561 20638433179 21645186017 28627504087 36514151009 38295329107 50648661077 67811994731 68265586669 71119896913 94061799143 126778946671 224301213341 474683963117 497839278391 658432594001 887452626697 1570108493387 2915915773433 20411410414031