Search a number
-
+
1345350535431 = 37101634300111
BaseRepresentation
bin10011100100111101001…
…001000000100100000111
311202121120210101100111120
4103210331021000210013
5134020234214113211
62510013455005023
7166125016604010
oct23447511004407
94677523340446
101345350535431
11479618338741
121988a3209773
1399b3481b3a6
14491885c4007
1524ee0505d06
hex1393d240907

1345350535431 has 16 divisors (see below), whose sum is σ = 2070355565568. Its totient is φ = 761160132000.

The previous prime is 1345350535421. The next prime is 1345350535511.

1345350535431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1345350535431 - 29 = 1345350534919 is a prime.

It is a super-2 number, since 2×13453505354312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345350535411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317147935 + ... + 317152176.

It is an arithmetic number, because the mean of its divisors is an integer number (129397222848).

Almost surely, 21345350535431 is an apocalyptic number.

1345350535431 is a deficient number, since it is larger than the sum of its proper divisors (725005030137).

1345350535431 is a wasteful number, since it uses less digits than its factorization.

1345350535431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634300222.

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 1345350535431 in words is "one trillion, three hundred forty-five billion, three hundred fifty million, five hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 7 21 101 303 707 2121 634300111 1902900333 4440100777 13320302331 64064311211 192192933633 448450178477 1345350535431