Search a number
-
+
1342311605505 = 325134634955831
BaseRepresentation
bin10011100010001000000…
…000011010010100000001
311202022202000002201100100
4103202020000122110001
5133443023232334010
62504352140113013
7165656506251003
oct23421000322401
94668660081310
101342311605505
114782a89a8702
12198195535769
139976c0563c0
1448d7ab66373
1524db38222c0
hex1388801a501

1342311605505 has 48 divisors (see below), whose sum is σ = 2511060604416. Its totient is φ = 659402916480.

The previous prime is 1342311605497. The next prime is 1342311605521. The reversal of 1342311605505 is 5055061132431.

1342311605505 is a `hidden beast` number, since 1 + 3 + 42 + 3 + 1 + 1 + 60 + 550 + 5 = 666.

It is not a de Polignac number, because 1342311605505 - 23 = 1342311605497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1342311605505.

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, 2207061 + ... + 2748770.

It is an arithmetic number, because the mean of its divisors is an integer number (52313762592).

Almost surely, 21342311605505 is an apocalyptic number.

1342311605505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1342311605505 is a deficient number, since it is larger than the sum of its proper divisors (1168748998911).

1342311605505 is a wasteful number, since it uses less digits than its factorization.

1342311605505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956318 (or 4956315 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 1342311605505 its reverse (5055061132431), we get a palindrome (6397372737936).

The spelling of 1342311605505 in words is "one trillion, three hundred forty-two billion, three hundred eleven million, six hundred five thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 463 585 1389 2315 4167 6019 6945 18057 20835 30095 54171 90285 270855 4955831 14867493 24779155 44602479 64425803 74337465 193277409 223012395 322129015 579832227 966387045 2294549753 2899161135 6883649259 11472748765 20650947777 29829146789 34418246295 89487440367 103254738885 149145733945 268462321101 447437201835 1342311605505