Search a number
-
+
1452134312541 = 321128316065743
BaseRepresentation
bin10101001000011001111…
…100110010101001011101
312010211012201220021111100
4111020121330302221131
5142242432341000131
63031033513543313
7206625145666233
oct25103174625135
95124181807440
101452134312541
1150a934a64a00
121b5524a14b39
13a6c218b9613
14503d8598953
1527b900987e6
hex15219f32a5d

1452134312541 has 36 divisors (see below), whose sum is σ = 2333324395584. Its totient is φ = 869477957040.

The previous prime is 1452134312483. The next prime is 1452134312579.

1452134312541 is a `hidden beast` number, since 1 + 4 + 5 + 213 + 431 + 2 + 5 + 4 + 1 = 666.

1452134312541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1452134312541 - 26 = 1452134312477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1452134312496 and 1452134312505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452134312591) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7942485 + ... + 8123258.

It is an arithmetic number, because the mean of its divisors is an integer number (64814566544).

Almost surely, 21452134312541 is an apocalyptic number.

1452134312541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1452134312541 is a deficient number, since it is larger than the sum of its proper divisors (881190083043).

1452134312541 is a wasteful number, since it uses less digits than its factorization.

1452134312541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16065854 (or 16065840 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 1452134312541 in words is "one trillion, four hundred fifty-two billion, one hundred thirty-four million, three hundred twelve thousand, five hundred forty-one".

Divisors: 1 3 9 11 33 83 99 121 249 363 747 913 1089 2739 8217 10043 30129 90387 16065743 48197229 144591687 176723173 530169519 1333456669 1590508557 1943954903 4000370007 5831864709 12001110021 14668023359 17495594127 44004070077 132012210231 161348256949 484044770847 1452134312541