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1331450819457 = 311293466329531
BaseRepresentation
bin10011011000000000101…
…001110011001110000001
311201021201002121121202020
4103120000221303032001
5133303302402210312
62455354323512053
7165123410142513
oct23300051631601
94637632547666
101331450819457
11473735305370
12196064228629
139872ac22395
144862a573bb3
152497a0d178c
hex13600a73381

1331450819457 has 32 divisors (see below), whose sum is σ = 1943748043776. Its totient is φ = 803986142400.

The previous prime is 1331450819443. The next prime is 1331450819483. The reversal of 1331450819457 is 7549180541331.

It is not a de Polignac number, because 1331450819457 - 24 = 1331450819441 is a prime.

It is a super-3 number, since 3×13314508194573 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1331450814457) 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, 45071782 + ... + 45101312.

It is an arithmetic number, because the mean of its divisors is an integer number (60742126368).

Almost surely, 21331450819457 is an apocalyptic number.

It is an amenable number.

1331450819457 is a deficient number, since it is larger than the sum of its proper divisors (612297224319).

1331450819457 is a wasteful number, since it uses less digits than its factorization.

1331450819457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34501.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1331450819457 in words is "one trillion, three hundred thirty-one billion, four hundred fifty million, eight hundred nineteen thousand, four hundred fifty-seven".

Divisors: 1 3 11 33 293 879 3223 4663 9669 13989 29531 51293 88593 153879 324841 974523 1366259 4098777 8652583 15028849 25957749 45086547 95178413 137703053 285535239 413109159 1514733583 4544200749 40346994529 121040983587 443816939819 1331450819457