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200040555312 = 24331379450883
BaseRepresentation
bin1011101001001101011…
…0001010001100110000
3201010100011121002221000
42322103112022030300
511234140340232222
6231521455202000
720311122444033
oct2722326121460
9633304532830
10200040555312
1177922750a94
1232929216300
1315b2c84b6c0
14997963b01a
15530bcd59ac
hex2e9358a330

200040555312 has 160 divisors (see below), whose sum is σ = 626187699200. Its totient is φ = 60771679488.

The previous prime is 200040555293. The next prime is 200040555317. The reversal of 200040555312 is 213555040002.

It is a happy number.

200040555312 is a `hidden beast` number, since 200 + 0 + 405 + 5 + 53 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200040555317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218223 + ... + 669105.

It is an arithmetic number, because the mean of its divisors is an integer number (3913673120).

Almost surely, 2200040555312 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 200040555312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313093849600).

200040555312 is an abundant number, since it is smaller than the sum of its proper divisors (426147143888).

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

200040555312 is a wasteful number, since it uses less digits than its factorization.

200040555312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450992 (or 450980 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 200040555312 its reverse (213555040002), we get a palindrome (413595595314).

The spelling of 200040555312 in words is "two hundred billion, forty million, five hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 79 104 108 117 144 156 158 208 216 234 237 312 316 351 432 468 474 624 632 702 711 936 948 1027 1264 1404 1422 1872 1896 2054 2133 2808 2844 3081 3792 4108 4266 5616 5688 6162 8216 8532 9243 11376 12324 16432 17064 18486 24648 27729 34128 36972 49296 55458 73944 110916 147888 221832 443664 450883 901766 1352649 1803532 2705298 3607064 4057947 5410596 5861479 7214128 8115894 10821192 11722958 12173841 16231788 17584437 21642384 23445916 24347682 32463576 35168874 35619757 46891832 48695364 52753311 64927152 70337748 71239514 93783664 97390728 105506622 106859271 140675496 142479028 158259933 194781456 211013244 213718542 281350992 284958056 316519866 320577813 422026488 427437084 463056841 569916112 633039732 641155626 844052976 854874168 926113682 961733439 1266079464 1282311252 1389170523 1709748336 1852227364 1923466878 2532158928 2564622504 2778341046 3704454728 3846933756 4167511569 5129245008 5556682092 7408909456 7693867512 8335023138 11113364184 12502534707 15387735024 16670046276 22226728368 25005069414 33340092552 50010138828 66680185104 100020277656 200040555312