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141013626417 = 32171567588167
BaseRepresentation
bin1000001101010100010…
…0010010111000110001
3111110222111000102210100
42003111010102320301
54302243442021132
6144440351223013
713121310022236
oct2032504227061
9443874012710
10141013626417
1154892574724
12233b5217a69
13103b3890541
146b7a0c578d
153a04be537c
hex20d5112e31

141013626417 has 24 divisors (see below), whose sum is σ = 215805897216. Its totient is φ = 88422523776.

The previous prime is 141013626407. The next prime is 141013626421. The reversal of 141013626417 is 714626310141.

141013626417 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 1 + 3 + 6 + 2 + 641 + 7 = 666.

It is not a de Polignac number, because 141013626417 - 28 = 141013626161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141013626407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54333 + ... + 533834.

It is an arithmetic number, because the mean of its divisors is an integer number (8991912384).

Almost surely, 2141013626417 is an apocalyptic number.

141013626417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

141013626417 is a deficient number, since it is larger than the sum of its proper divisors (74792270799).

141013626417 is a wasteful number, since it uses less digits than its factorization.

141013626417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589757 (or 589754 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 141013626417 its reverse (714626310141), we get a palindrome (855639936558).

The spelling of 141013626417 in words is "one hundred forty-one billion, thirteen million, six hundred twenty-six thousand, four hundred seventeen".

Divisors: 1 3 9 17 51 153 1567 4701 14103 26639 79917 239751 588167 1764501 5293503 9998839 29996517 89989551 921657689 2764973067 8294919201 15668180713 47004542139 141013626417