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146431606134641 = 1715157043866823
BaseRepresentation
bin100001010010110111000011…
…110111100001011101110001
3201012110201120101212110101112
4201102313003313201131301
5123143113412132302031
61235233430131243105
742562222464310352
oct4122670367413561
9635421511773345
10146431606134641
1142726328220823
121450b514749495
136392597446a39
142823482b37d29
1511de04e9a862b
hex852dc3de1771

146431606134641 has 8 divisors (see below), whose sum is σ = 156072019630464. Its totient is φ = 136905280372800.

The previous prime is 146431606134617. The next prime is 146431606134661.

It is a happy number.

146431606134641 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146431606134641 - 26 = 146431606134577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146431606134641.

It is not an unprimeable number, because it can be changed into a prime (146431606134661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28521930845 + ... + 28521935978.

It is an arithmetic number, because the mean of its divisors is an integer number (19509002453808).

Almost surely, 2146431606134641 is an apocalyptic number.

It is an amenable number.

146431606134641 is a deficient number, since it is larger than the sum of its proper divisors (9640413495823).

146431606134641 is a wasteful number, since it uses less digits than its factorization.

146431606134641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57043866991.

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 146431606134641 in words is "one hundred forty-six trillion, four hundred thirty-one billion, six hundred six million, one hundred thirty-four thousand, six hundred forty-one".

Divisors: 1 17 151 2567 57043866823 969745735991 8613623890273 146431606134641