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200104423124144 = 247111919134468661
BaseRepresentation
bin101101011111111001110001…
…000011101110110010110000
3222020111210111022011101110212
4231133321301003232302300
5202212002324304433034
61545330411455243252
760102032101241630
oct5537716103566260
9866453438141425
10200104423124144
115883989a162050
121a5396b2519528
1387869c6269a36
14375b16a29c6c0
15182029677e2ce
hexb5fe710eecb0

200104423124144 has 160 divisors (see below), whose sum is σ = 509075694927360. Its totient is φ = 73820833228800.

The previous prime is 200104423124129. The next prime is 200104423124189. The reversal of 200104423124144 is 441421324401002.

It is a super-3 number, since 3×2001044231241443 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200104423124144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42545174 + ... + 47013834.

It is an arithmetic number, because the mean of its divisors is an integer number (3181723093296).

Almost surely, 2200104423124144 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 200104423124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254537847463680).

200104423124144 is an abundant number, since it is smaller than the sum of its proper divisors (308971271803216).

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

200104423124144 is a wasteful number, since it uses less digits than its factorization.

200104423124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470619 (or 4470613 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 200104423124144 its reverse (441421324401002), we get a palindrome (641525747525146).

The spelling of 200104423124144 in words is "two hundred trillion, one hundred four billion, four hundred twenty-three million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 1913 2128 2926 3344 3826 5852 7652 11704 13391 15304 21043 23408 26782 30608 36347 42086 53564 72694 84172 107128 145388 147301 168344 214256 254429 290776 294602 336688 399817 508858 581552 589204 799634 1017716 1178408 1599268 2035432 2356816 2798719 3198536 4070864 4468661 5597438 6397072 8937322 11194876 17874644 22389752 31280627 35749288 44779504 49155271 62561254 71498576 84904559 98310542 125122508 169809118 196621084 250245016 339618236 344086897 393242168 500490032 594331913 679236472 688173794 786484336 933950149 1188663826 1358472944 1376347588 1867900298 2377327652 2752695176 3735800596 4754655304 5505390352 6537651043 7471601192 8548548493 9509310608 13075302086 14943202384 17097096986 26150604172 34194193972 52301208344 59839839451 68388387944 94034033423 104602416688 119679678902 136776775888 162422421367 188068066846 239359357804 324844842734 376136133692 478718715608 649689685468 658238233961 752272267384 957437431216 1136956949569 1299379370936 1316476467922 1504544534768 1786646635037 2273913899138 2598758741872 2632952935844 3573293270074 4547827798276 5265905871688 7146586540148 9095655596552 10531811743376 12506526445259 14293173080296 18191311193104 25013052890518 28586346160592 50026105781036 100052211562072 200104423124144