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146313424313641 = 1341999127105233
BaseRepresentation
bin100001010001001000111111…
…101011101001110100101001
3201012001102112002220220121001
4201101020333223221310221
5123134144343111014031
61235103243104515001
742550540023355354
oct4121107753516451
9635042462826531
10146313424313641
11426901a1707482
12144b063191ba61
1363843b1b46040
14281b87107b29b
1511dae3444c861
hex85123fae9d29

146313424313641 has 16 divisors (see below), whose sum is σ = 158103745712640. Its totient is φ = 134600245274880.

The previous prime is 146313424313611. The next prime is 146313424313647.

146313424313641 is nontrivially palindromic in base 10.

146313424313641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 146313424313641 - 29 = 146313424313129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146313424313591 and 146313424313600.

It is not an unprimeable number, because it can be changed into a prime (146313424313647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8154640 + ... + 18950593.

It is an arithmetic number, because the mean of its divisors is an integer number (9881484107040).

Almost surely, 2146313424313641 is an apocalyptic number.

It is an amenable number.

146313424313641 is a deficient number, since it is larger than the sum of its proper divisors (11790321398999).

146313424313641 is a wasteful number, since it uses less digits than its factorization.

146313424313641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27106656.

The product of its digits is 1492992, while the sum is 46.

The spelling of 146313424313641 in words is "one hundred forty-six trillion, three hundred thirteen billion, four hundred twenty-four million, three hundred thirteen thousand, six hundred forty-one".

Divisors: 1 13 419 991 5447 12883 415229 5397977 27105233 352368029 11357092627 26861285903 147642204151 349196716739 11254878793357 146313424313641