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135672421041 = 3419231971543
BaseRepresentation
bin111111001011010110…
…1001101101010110001
3110222012020121002110000
41332112231031222301
54210324114433131
6142154350500213
712542042360013
oct1762655155261
9428166532400
10135672421041
11525a15aa003
1222364504669
13ca421377a1
1467d09a61b3
1537e0d40ce6
hex1f96b4dab1

135672421041 has 120 divisors (see below), whose sum is σ = 223220304384. Its totient is φ = 82015649280.

The previous prime is 135672421009. The next prime is 135672421043. The reversal of 135672421041 is 140124276531.

135672421041 is a `hidden beast` number, since 1 + 3 + 567 + 2 + 42 + 10 + 41 = 666.

It is not a de Polignac number, because 135672421041 - 25 = 135672421009 is a prime.

It is a super-2 number, since 2×1356724210412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135672420987 and 135672421005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135672421043) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87926916 + ... + 87928458.

Almost surely, 2135672421041 is an apocalyptic number.

It is an amenable number.

135672421041 is a deficient number, since it is larger than the sum of its proper divisors (87547883343).

135672421041 is a wasteful number, since it uses less digits than its factorization.

135672421041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 135672421041 its reverse (140124276531), we get a palindrome (275796697572).

The spelling of 135672421041 in words is "one hundred thirty-five billion, six hundred seventy-two million, four hundred twenty-one thousand, forty-one".

Divisors: 1 3 9 19 27 31 57 81 93 97 171 279 291 361 513 589 837 873 1083 1539 1543 1767 1843 2511 2619 3007 3249 4629 5301 5529 7857 9021 9747 11191 13887 15903 16587 27063 29241 29317 33573 35017 41661 47709 47833 49761 57133 81189 87951 100719 105051 124983 143499 149283 149671 171399 243567 263853 302157 315153 430497 449013 514197 557023 791559 906471 908827 945459 1085527 1291491 1347039 1542591 1671069 2374677 2726481 2836377 2843749 3256581 3874473 4041117 4627773 4639801 5013207 8179443 8531247 9769743 12123351 13919403 15039621 17267713 24538329 25593741 29309229 41758209 45118863 51803139 54031231 73614987 76781223 87927687 88156219 125274627 155409417 162093693 230343669 264468657 375823881 466228251 486281079 793405971 1398684753 1458843237 1674968161 2380217913 4376529711 5024904483 7140653739 15074713449 45224140347 135672421041