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348418141407 = 3275530446689
BaseRepresentation
bin1010001000111110101…
…01101110110011011111
31020022022212012110022200
411010133111232303133
521202030021011112
6424021105542543
734113061223430
oct5043725566337
91208285173280
10348418141407
11124843a595a6
1257638644a53
1326b17c4801b
1412c13741487
1590e3239cdc
hex511f56ecdf

348418141407 has 12 divisors (see below), whose sum is σ = 575166455760. Its totient is φ = 199096080768.

The previous prime is 348418141397. The next prime is 348418141433. The reversal of 348418141407 is 704141814843.

348418141407 is a `hidden beast` number, since 3 + 484 + 18 + 14 + 140 + 7 = 666.

It is not a de Polignac number, because 348418141407 - 24 = 348418141391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348418141307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2765223282 + ... + 2765223407.

It is an arithmetic number, because the mean of its divisors is an integer number (47930537980).

Almost surely, 2348418141407 is an apocalyptic number.

348418141407 is a deficient number, since it is larger than the sum of its proper divisors (226748314353).

348418141407 is a wasteful number, since it uses less digits than its factorization.

348418141407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530446702 (or 5530446699 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 348418141407 in words is "three hundred forty-eight billion, four hundred eighteen million, one hundred forty-one thousand, four hundred seven".

Divisors: 1 3 7 9 21 63 5530446689 16591340067 38713126823 49774020201 116139380469 348418141407