Search a number
-
+
1434121301331 = 34109751216289
BaseRepresentation
bin10100110111101000010…
…010100110110101010011
312002002201101020111110000
4110313220102212311103
5141444040023120311
63014454244341043
7205416601633455
oct24675022466523
95062641214400
101434121301331
115032310a5a84
121b1b383a4783
13a5310a819c4
144d5aa1422d5
15274889c0056
hex14de84a6d53

1434121301331 has 40 divisors (see below), whose sum is σ = 2164872564800. Its totient is φ = 946043712000.

The previous prime is 1434121301317. The next prime is 1434121301339. The reversal of 1434121301331 is 1331031214341.

1434121301331 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 1 + 21 + 301 + 331 = 666.

It is not a de Polignac number, because 1434121301331 - 210 = 1434121300307 is a prime.

It is a super-2 number, since 2×14341213013312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1434121301295 and 1434121301304.

It is not an unprimeable number, because it can be changed into a prime (1434121301339) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6522435 + ... + 6738723.

It is an arithmetic number, because the mean of its divisors is an integer number (54121814120).

Almost surely, 21434121301331 is an apocalyptic number.

1434121301331 is a deficient number, since it is larger than the sum of its proper divisors (730751263469).

1434121301331 is a wasteful number, since it uses less digits than its factorization.

1434121301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217161 (or 217152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1434121301331 its reverse (1331031214341), we get a palindrome (2765152515672).

The spelling of 1434121301331 in words is "one trillion, four hundred thirty-four billion, one hundred twenty-one million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 109 327 751 981 2253 2943 6759 8829 20277 60831 81859 216289 245577 648867 736731 1946601 2210193 5839803 6630579 17519409 23575501 70726503 162433039 212179509 487299117 636538527 1461897351 1909615581 4385692053 13157076159 17705201251 53115603753 159346811259 478040433777 1434121301331