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411412101441132 = 2231179176327223747
BaseRepresentation
bin101110110001011010101100…
…0001010011010011001101100
31222221200121112201111001212110
41131202311120022122121230
5412411033440432104012
64015000035450404020
7152441354254440321
oct13542653012323154
91887617481431773
10411412101441132
1110a0a798a854820
123a186508430610
1314873cc147139c
147384648248b48
153286b8d7dd73c
hex1762d5829a66c

411412101441132 has 96 divisors (see below), whose sum is σ = 1060497643806720. Its totient is φ = 123090980051520.

The previous prime is 411412101441127. The next prime is 411412101441137. The reversal of 411412101441132 is 231144101214114.

It is an interprime number because it is at equal distance from previous prime (411412101441127) and next prime (411412101441137).

It is a super-2 number, since 2×4114121014411322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 411412101441132.

It is not an unprimeable number, because it can be changed into a prime (411412101441137) 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, 1838626083 + ... + 1838849829.

It is an arithmetic number, because the mean of its divisors is an integer number (11046850456320).

Almost surely, 2411412101441132 is an apocalyptic number.

It is an amenable number.

411412101441132 is an abundant number, since it is smaller than the sum of its proper divisors (649085542365588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411412101441132 is a wasteful number, since it uses less digits than its factorization.

411412101441132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400171 (or 400169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 411412101441132 its reverse (231144101214114), we get a palindrome (642556202655246).

The spelling of 411412101441132 in words is "four hundred eleven trillion, four hundred twelve billion, one hundred one million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 176327 223747 352654 447494 528981 671241 705308 894988 1057962 1342482 1939597 2115924 2461217 2684964 3879194 4922434 5818791 7383651 7758388 9844868 11637582 13929833 14767302 17676013 23275164 27859666 29534604 35352026 41789499 53028039 55719332 70704052 83578998 106056078 153228163 167157996 194436143 212112156 306456326 388872286 459684489 583308429 612912652 777744572 919368978 1166616858 1838737956 2333233716 39452637269 78905274538 118357911807 157810549076 236715823614 433979009959 473431647228 867958019918 1301937029877 1735916039836 2603874059754 3116758344251 5207748119508 6233516688502 9350275032753 12467033377004 18700550065506 34284341786761 37401100131012 68568683573522 102853025360283 137137367147044 205706050720566 411412101441132