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135435413512443 = 311311132081562997
BaseRepresentation
bin11110110010110110000011…
…101101100110000011111011
3122202112111110211110121112210
4132302312003231212003323
5120222433211324344233
61200014100421110203
740345612542231612
oct3662660355460373
9582474424417483
10135435413512443
113a176922152140
1213234359b58363
135a75673a71275
1425631750d4879
15109cebc6c6163
hex7b2d83b660fb

135435413512443 has 64 divisors (see below), whose sum is σ = 205250226130944. Its totient is φ = 78693328896000.

The previous prime is 135435413512369. The next prime is 135435413512453. The reversal of 135435413512443 is 344215314534531.

It is not a de Polignac number, because 135435413512443 - 217 = 135435413381371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135435413512392 and 135435413512401.

It is not an unprimeable number, because it can be changed into a prime (135435413512453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240280021 + ... + 240843017.

It is an arithmetic number, because the mean of its divisors is an integer number (3207034783296).

Almost surely, 2135435413512443 is an apocalyptic number.

135435413512443 is a deficient number, since it is larger than the sum of its proper divisors (69814812618501).

135435413512443 is a wasteful number, since it uses less digits than its factorization.

135435413512443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565236.

The product of its digits is 5184000, while the sum is 48.

The spelling of 135435413512443 in words is "one hundred thirty-five trillion, four hundred thirty-five billion, four hundred thirteen million, five hundred twelve thousand, four hundred forty-three".

Divisors: 1 3 11 31 33 93 113 339 341 1023 1243 2081 3503 3729 6243 10509 22891 38533 64511 68673 115599 193533 235153 562997 705459 709621 1688991 2128863 2586683 6192967 7289743 7760049 17452907 18578901 21869229 52358721 63618661 80187173 190855983 191981977 240561519 575945931 699805271 1171596757 1972178491 2099415813 3514790271 5916535473 12887564327 21693963401 36319499467 38662692981 65081890203 108958498401 132390433541 397171300623 399514494137 1198543482411 1456294768951 4104103439771 4368884306853 12312310319313 45145137837481 135435413512443