Search a number
-
+
200144134312032 = 25317891377947609
BaseRepresentation
bin101101100000011110110000…
…000001111001000001100000
3222020122120222211202202020110
4231200132300001321001200
5202213130141340441112
61545400540200011320
760104636140620621
oct5540366001710140
9866576884682213
10200144134312032
1158854718088299
121a545335760b40
13878a68453a951
14375d056369a48
15182131cc1713c
hexb607b0079060

200144134312032 has 96 divisors (see below), whose sum is σ = 562533332306400. Its totient is φ = 62084807426048.

The previous prime is 200144134312021. The next prime is 200144134312051. The reversal of 200144134312032 is 230213431441002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688828557 + ... + 689119052.

It is an arithmetic number, because the mean of its divisors is an integer number (5859722211525).

Almost surely, 2200144134312032 is an apocalyptic number.

It is an amenable number.

200144134312032 is an abundant number, since it is smaller than the sum of its proper divisors (362389197994368).

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

200144134312032 is a wasteful number, since it uses less digits than its factorization.

200144134312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377947728 (or 1377947720 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 200144134312032 its reverse (230213431441002), we get a palindrome (430357565753034).

The spelling of 200144134312032 in words is "two hundred trillion, one hundred forty-four billion, one hundred thirty-four million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 89 96 102 136 178 204 267 272 356 408 534 544 712 816 1068 1424 1513 1632 2136 2848 3026 4272 4539 6052 8544 9078 12104 18156 24208 36312 48416 72624 145248 1377947609 2755895218 4133842827 5511790436 8267685654 11023580872 16535371308 22047161744 23425109353 33070742616 44094323488 46850218706 66141485232 70275328059 93700437412 122637337201 132282970464 140550656118 187400874824 245274674402 281101312236 367912011603 374801749648 490549348804 562202624472 735824023206 749603499296 981098697608 1124405248944 1471648046412 1962197395216 2084834732417 2248810497888 2943296092824 3924394790432 4169669464834 5886592185648 6254504197251 8339338929668 11773184371296 12509008394502 16678677859336 25018016789004 33357355718672 50036033578008 66714711437344 100072067156016 200144134312032