Search a number
-
+
1200874249134 = 2357433981353
BaseRepresentation
bin10001011110011001101…
…011101101101110101110
311020210122222202120100000
4101132121223231232232
5124133342301433014
62315401330445130
7152521532461230
oct21363153555656
94223588676300
101200874249134
1142331923043a
121748a24337a6
138931b7664a1
14421a06a0250
152138682c509
hex11799aedbae

1200874249134 has 96 divisors (see below), whose sum is σ = 3084475080960. Its totient is φ = 343023636672.

The previous prime is 1200874249129. The next prime is 1200874249163. The reversal of 1200874249134 is 4319424780021.

1200874249134 is a `hidden beast` number, since 1 + 200 + 8 + 7 + 424 + 9 + 13 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1200874249134.

It is a congruent number.

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, 14720602 + ... + 14801954.

It is an arithmetic number, because the mean of its divisors is an integer number (32129948760).

Almost surely, 21200874249134 is an apocalyptic number.

1200874249134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200874249134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542237540480).

1200874249134 is an abundant number, since it is smaller than the sum of its proper divisors (1883600831826).

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

1200874249134 is an equidigital number, since it uses as much as digits as its factorization.

1200874249134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85716 (or 85704 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1200874249134 in words is "one trillion, two hundred billion, eight hundred seventy-four million, two hundred forty-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 4339 8678 13017 26034 30373 39051 60746 78102 81353 91119 117153 162706 182238 234306 244059 273357 351459 488118 546714 569471 702918 732177 820071 1054377 1138942 1464354 1640142 1708413 2108754 2196531 2460213 3416826 4393062 4920426 5125239 6589593 7380639 10250478 13179186 14761278 15375717 19768779 30751434 39537558 46127151 92254302 138381453 276762906 352990667 705981334 1058972001 2117944002 2470934669 3176916003 4941869338 6353832006 7412804007 9530748009 14825608014 19061496018 22238412021 28592244027 44476824042 57184488054 66715236063 85776732081 133430472126 171553464162 200145708189 400291416378 600437124567 1200874249134