Search a number
-
+
1134340342032 = 243296113359011
BaseRepresentation
bin10000100000011011111…
…101000000000100010000
311000102221010110220001110
4100200123331000010100
5122041112111421112
62225035254133320
7144645003550542
oct20403375000420
94012833426043
101134340342032
113a8086607257
12163a14351240
1382c77445ca1
143cc8c13b692
151e79067c13c
hex1081bf40110

1134340342032 has 80 divisors (see below), whose sum is σ = 3081122527680. Its totient is φ = 359090188800.

The previous prime is 1134340342019. The next prime is 1134340342033. The reversal of 1134340342032 is 2302430434311.

It is a happy number.

It is a super-2 number, since 2×11343403420322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1134340342033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6594594 + ... + 6764417.

It is an arithmetic number, because the mean of its divisors is an integer number (38514031596).

Almost surely, 21134340342032 is an apocalyptic number.

1134340342032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1134340342032 is an abundant number, since it is smaller than the sum of its proper divisors (1946782185648).

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

1134340342032 is a wasteful number, since it uses less digits than its factorization.

1134340342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359112 (or 13359106 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1134340342032 its reverse (2302430434311), we get a palindrome (3436770776343).

The spelling of 1134340342032 in words is "one trillion, one hundred thirty-four billion, three hundred forty million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 87 116 122 174 183 232 244 348 366 464 488 696 732 976 1392 1464 1769 2928 3538 5307 7076 10614 14152 21228 28304 42456 84912 13359011 26718022 40077033 53436044 80154066 106872088 160308132 213744176 320616264 387411319 641232528 774822638 814899671 1162233957 1549645276 1629799342 2324467914 2444699013 3099290552 3259598684 4648935828 4889398026 6198581104 6519197368 9297871656 9778796052 13038394736 18595743312 19557592104 23632090459 39115184208 47264180918 70896271377 94528361836 141792542754 189056723672 283585085508 378113447344 567170171016 1134340342032