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135115402440414 = 23119292609844639
BaseRepresentation
bin11110101110001100000001…
…100100001110111011011110
3122201101220110201011210120210
4132232030001210032323132
5120202212321011043124
61155211054201153250
740313523426056334
oct3656140144167336
9581356421153523
10135115402440414
113a063136254290
12131a232aa8b826
135a5143518c246
142551898427b54
1510949dd310a29
hex7ae30190eede

135115402440414 has 64 divisors (see below), whose sum is σ = 295228032768000. Its totient is φ = 40884263178240.

The previous prime is 135115402440407. The next prime is 135115402440427. The reversal of 135115402440414 is 414044204511531.

It is a super-3 number, since 3×1351154024404143 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159545907 + ... + 160390545.

It is an arithmetic number, because the mean of its divisors is an integer number (4612938012000).

Almost surely, 2135115402440414 is an apocalyptic number.

135115402440414 is an abundant number, since it is smaller than the sum of its proper divisors (160112630327586).

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

135115402440414 is a wasteful number, since it uses less digits than its factorization.

135115402440414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848193.

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 135115402440414 its reverse (414044204511531), we get a palindrome (549159606951945).

The spelling of 135115402440414 in words is "one hundred thirty-five trillion, one hundred fifteen billion, four hundred two million, four hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 929 1858 2609 2787 5218 5574 7827 10219 15654 20438 28699 30657 57398 61314 86097 172194 844639 1689278 2423761 2533917 4847522 5067834 7271283 9291029 14542566 18582058 26661371 27873087 53322742 55746174 79984113 159968226 784669631 1569339262 2203663151 2354008893 4407326302 4708017786 6610989453 8631365941 13221978906 17262731882 24240294661 25894097823 48480589322 51788195646 72720883983 145441767966 2047203067279 4094406134558 6141609201837 12283218403674 22519233740069 45038467480138 67557701220207 135115402440414