Search a number
-
+
41411400121341 = 32294147731127911
BaseRepresentation
bin10010110101001110101111…
…10010110011101111111101
312102121220001200020222022200
421122213113302303233331
520411441021412340331
6224024045023102113
711502606046115115
oct1132472762635775
9172556050228280
1041411400121341
1112216526859248
124789982141939
131a15102c80863
14a32472b8c045
154bc313b055e6
hex25a9d7cb3bfd

41411400121341 has 96 divisors (see below), whose sum is σ = 65623905285120. Its totient is φ = 25103486822400.

The previous prime is 41411400121319. The next prime is 41411400121349. The reversal of 41411400121341 is 14312100411414.

41411400121341 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 1 + 400 + 1 + 213 + 41 = 666.

It is not a de Polignac number, because 41411400121341 - 25 = 41411400121309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41411400121349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36151176 + ... + 37279086.

It is an arithmetic number, because the mean of its divisors is an integer number (683582346720).

Almost surely, 241411400121341 is an apocalyptic number.

41411400121341 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41411400121341 is a deficient number, since it is larger than the sum of its proper divisors (24212505163779).

41411400121341 is a wasteful number, since it uses less digits than its factorization.

41411400121341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128107 (or 1128104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 41411400121341 its reverse (14312100411414), we get a palindrome (55723500532755).

The spelling of 41411400121341 in words is "forty-one trillion, four hundred eleven billion, four hundred million, one hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 9 29 41 47 73 87 123 141 219 261 369 423 657 1189 1363 1927 2117 2993 3431 3567 4089 5781 6351 8979 10293 10701 12267 17343 19053 26937 30879 55883 86797 99499 140671 167649 260391 298497 422013 502947 781173 895491 1127911 1266039 3383733 4079459 10151199 12238377 32709419 36715131 46244351 53011817 82337503 98128257 138733053 159035451 247012509 294384771 416199159 477106353 741037527 1341086179 1537342693 2173484497 2387787587 3375837623 3869862641 4023258537 4612028079 6520453491 7163362761 10127512869 11609587923 12069775611 13836084237 19561360473 21490088283 30382538607 34828763769 63031050413 97899291067 112226016589 158664368281 189093151239 293697873201 336678049767 475993104843 567279453717 881093619603 1010034149301 1427979314529 4601266680149 13803800040447 41411400121341