Search a number
-
+
42052120121361 = 3727110349517901
BaseRepresentation
bin10011000111111000001011…
…01011101001000000010001
312111220010212112222100122210
421203330011223221000101
521002440220222340421
6225234251032222333
711600110511214300
oct1143740553510021
9174803775870583
1042052120121361
111244322756a519
124871b95b3a9a9
131a60661bb311c
14a554950a2437
154cdd1377d576
hex263f05ae9011

42052120121361 has 96 divisors (see below), whose sum is σ = 66806442233856. Its totient is φ = 23453614800000.

The previous prime is 42052120121359. The next prime is 42052120121369. The reversal of 42052120121361 is 16312102125024.

It is not a de Polignac number, because 42052120121361 - 21 = 42052120121359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42052120121369) 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, 5322375511 + ... + 5322383411.

It is an arithmetic number, because the mean of its divisors is an integer number (695900439936).

Almost surely, 242052120121361 is an apocalyptic number.

It is an amenable number.

42052120121361 is a deficient number, since it is larger than the sum of its proper divisors (24754322112495).

42052120121361 is a wasteful number, since it uses less digits than its factorization.

42052120121361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13043 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 42052120121361 its reverse (16312102125024), we get a palindrome (58364222246385).

The spelling of 42052120121361 in words is "forty-two trillion, fifty-two billion, one hundred twenty million, one hundred twenty-one thousand, three hundred sixty-one".

Divisors: 1 3 7 21 49 71 103 147 213 309 497 721 1491 2163 3479 4951 5047 7313 7901 10437 14853 15141 21939 23703 34657 51191 55307 103971 153573 165921 242599 351521 358337 387149 509953 560971 727797 813803 1054563 1075011 1161447 1529859 1682913 2441409 2460647 3569671 3926797 5696621 7381941 10709013 11780391 17089863 17224529 24987697 27487579 36206663 39117851 39876347 51673587 57780013 74963091 82462737 108619989 117353553 119629041 173340039 253446641 273824957 404460091 760339923 821474871 1213380273 1774126487 1916774699 2777367421 2831220637 4029138653 5322379461 5750324097 8332102263 8493661911 12087415959 19441571947 28203970571 58324715841 84611911713 136091003629 197427793997 286068844363 408273010887 592283381991 858206533089 2002481910541 6007445731623 14017373373787 42052120121361