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2145435310305 = 325731219706637
BaseRepresentation
bin11111001110000101111…
…010001101100011100001
321121002202002001002202100
4133032011322031203201
5240122322414412210
64321333244241013
7311000613150060
oct37160572154341
97532662032670
102145435310305
11757968335011
122a7971b40169
1312741020a5c1
1475ba7cd61d7
153ac1ae915c0
hex1f385e8d8e1

2145435310305 has 48 divisors (see below), whose sum is σ = 4387102147584. Its totient is φ = 949132667520.

The previous prime is 2145435310279. The next prime is 2145435310339. The reversal of 2145435310305 is 5030135345412.

2145435310305 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 4 + 35 + 310 + 305 = 666.

It is not a de Polignac number, because 2145435310305 - 25 = 2145435310273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2145435310305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109843554 + ... + 109863083.

It is an arithmetic number, because the mean of its divisors is an integer number (91397961408).

Almost surely, 22145435310305 is an apocalyptic number.

It is an amenable number.

2145435310305 is an abundant number, since it is smaller than the sum of its proper divisors (2241666837279).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2145435310305 is a wasteful number, since it uses less digits than its factorization.

2145435310305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219706686 (or 219706683 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2145435310305 in words is "two trillion, one hundred forty-five billion, four hundred thirty-five million, three hundred ten thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 219706637 659119911 1098533185 1537946459 1977359733 3295599555 4613839377 6810905747 7689732295 9886798665 13841518131 20432717241 23069196885 34054528735 47676340229 61298151723 69207590655 102163586205 143029020687 238381701145 306490758615 429087062061 715145103435 2145435310305