Search a number
-
+
114344234041032 = 23327179283136809
BaseRepresentation
bin11001111111111011010111…
…011100111011111011001000
3112222212012110021022121200100
4121333323113130323323020
5104441403442403303112
61043105003240005400
733041045466556152
oct3177732734737310
9488765407277610
10114344234041032
1133485132193866
12109a8818760860
134ba57cc215168
14203440d027ad2
15d345514192dc
hex67fed773bec8

114344234041032 has 96 divisors (see below), whose sum is σ = 318019264992000. Its totient is φ = 37102247320320.

The previous prime is 114344234041031. The next prime is 114344234041039. The reversal of 114344234041032 is 230140432443411.

114344234041032 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 4 + 4 + 234 + 0 + 410 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114344234041031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141164557 + ... + 141972252.

It is an arithmetic number, because the mean of its divisors is an integer number (3312700677000).

Almost surely, 2114344234041032 is an apocalyptic number.

114344234041032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114344234041032 is an abundant number, since it is smaller than the sum of its proper divisors (203675030950968).

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

114344234041032 is a wasteful number, since it uses less digits than its factorization.

114344234041032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283136971 (or 283136964 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 114344234041032 its reverse (230140432443411), we get a palindrome (344484666484443).

The spelling of 114344234041032 in words is "one hundred fourteen trillion, three hundred forty-four billion, two hundred thirty-four million, forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 79 142 158 213 237 284 316 426 474 568 632 639 711 852 948 1278 1422 1704 1896 2556 2844 5112 5609 5688 11218 16827 22436 33654 44872 50481 67308 100962 134616 201924 403848 283136809 566273618 849410427 1132547236 1698820854 2265094472 2548231281 3397641708 5096462562 6795283416 10192925124 20102713439 20385850248 22367807911 40205426878 44735615822 60308140317 67103423733 80410853756 89471231644 120616280634 134206847466 160821707512 178942463288 180924420951 201310271199 241232561268 268413694932 361848841902 402620542398 482465122536 536827389864 723697683804 805241084796 1447395367608 1588114361681 1610482169592 3176228723362 4764343085043 6352457446724 9528686170086 12704914893448 14293029255129 19057372340172 28586058510258 38114744680344 57172117020516 114344234041032