Search a number
-
+
114733897012 = 22731413539133
BaseRepresentation
bin110101011011010101…
…1000101010100110100
3101222011000001212021001
41222312223011110310
53334433334201022
6124412533333044
711201133014320
oct1526653052464
9358130055231
10114733897012
1144727325a99
121a2a0197184
13aa861986b7
1457a5bb6980
152eb79d8b27
hex1ab6ac5534

114733897012 has 96 divisors (see below), whose sum is σ = 243361327104. Its totient is φ = 46288281600.

The previous prime is 114733896997. The next prime is 114733897027. The reversal of 114733897012 is 210798337411.

It is an interprime number because it is at equal distance from previous prime (114733896997) and next prime (114733897027).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12557998 + ... + 12567130.

It is an arithmetic number, because the mean of its divisors is an integer number (2535013824).

Almost surely, 2114733897012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114733897012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121680663552).

114733897012 is an abundant number, since it is smaller than the sum of its proper divisors (128627430092).

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

114733897012 is a wasteful number, since it uses less digits than its factorization.

114733897012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 114733897012 in words is "one hundred fourteen billion, seven hundred thirty-three million, eight hundred ninety-seven thousand, twelve".

Divisors: 1 2 4 7 14 28 31 41 62 82 124 164 217 287 353 434 574 706 868 1148 1271 1412 2471 2542 4942 5084 8897 9133 9884 10943 14473 17794 18266 21886 28946 35588 36532 43772 57892 63931 76601 101311 127862 153202 202622 255724 283123 306404 374453 405244 448663 566246 748906 897326 1132492 1497812 1794652 1981861 2621171 3140641 3223949 3963722 5242342 6281282 6447898 7927444 10484684 11608043 12562564 12895796 22567643 23216086 45135286 46432172 81256301 90270572 99942419 132181909 162512602 199884838 264363818 325025204 399769676 528727636 699596933 925273363 1399193866 1850546726 2798387732 3701093452 4097639179 8195278358 16390556716 28683474253 57366948506 114733897012