Search a number
-
+
3134061210114 = 2321976182714561
BaseRepresentation
bin101101100110110100100…
…110101110101000000010
3102002121120010002101000100
4231212310212232220002
5402322024132210424
610355433504303230
7442266646512132
oct55466446565002
912077503071010
103134061210114
11aa91699370aa
1242749a911b16
13199704c07b33
14ab9918caac2
15567cddbddc9
hex2d9b49aea02

3134061210114 has 96 divisors (see below), whose sum is σ = 7166398224960. Its totient is φ = 987140044800.

The previous prime is 3134061210067. The next prime is 3134061210131. The reversal of 3134061210114 is 4110121604313.

3134061210114 is a `hidden beast` number, since 3 + 1 + 3 + 40 + 612 + 1 + 0 + 1 + 1 + 4 = 666.

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, 215229394 + ... + 215243954.

It is an arithmetic number, because the mean of its divisors is an integer number (74649981510).

Almost surely, 23134061210114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134061210114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583199112480).

3134061210114 is an abundant number, since it is smaller than the sum of its proper divisors (4032337014846).

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

3134061210114 is a wasteful number, since it uses less digits than its factorization.

3134061210114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16176 (or 16173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 3134061210114 its reverse (4110121604313), we get a palindrome (7244182814427).

The spelling of 3134061210114 in words is "three trillion, one hundred thirty-four billion, sixty-one million, two hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 761 827 1522 1654 2283 2481 4566 4962 6849 7443 13698 14459 14561 14886 15713 28918 29122 31426 43377 43683 47139 86754 87366 94278 130131 131049 141417 260262 262098 276659 282834 553318 629347 829977 1258694 1659954 1888041 2489931 3776082 4979862 5664123 11080921 11328246 11957593 12041947 22161842 23915186 24083894 33242763 35872779 36125841 66485526 71745558 72251682 99728289 107618337 108377523 199456578 210537499 215236674 216755046 228796993 421074998 457593986 631612497 686390979 1263224994 1372781958 1894837491 2059172937 3789674982 4118345874 9163921667 18327843334 27491765001 54983530002 82475295003 164950590006 174114511673 348229023346 522343535019 1044687070038 1567030605057 3134061210114