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444030100200204 = 223726597243158209
BaseRepresentation
bin110010011110101111101000…
…0011001000101101100001100
32011020011212022010201102121020
41210331133100121011230030
5431144442121122401304
64212212340105034140
7162346054550336100
oct14475372031055414
92136155263642536
10444030100200204
111195331207a4251
1241974012185950
131609bb2198999b
147b91258911900
1536503966235d9
hex193d7d0645b0c

444030100200204 has 144 divisors (see below), whose sum is σ = 1207227708086400. Its totient is φ = 126654940790784.

The previous prime is 444030100200157. The next prime is 444030100200307. The reversal of 444030100200204 is 402002001030444.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2806525452 + ... + 2806683660.

It is an arithmetic number, because the mean of its divisors is an integer number (8383525750600).

Almost surely, 2444030100200204 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 444030100200204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603613854043200).

444030100200204 is an abundant number, since it is smaller than the sum of its proper divisors (763197607886196).

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

444030100200204 is a wasteful number, since it uses less digits than its factorization.

444030100200204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166132 (or 166123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444030100200204 its reverse (402002001030444), we get a palindrome (846032101230648).

The spelling of 444030100200204 in words is "four hundred forty-four trillion, thirty billion, one hundred million, two hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 659 1318 1977 2636 3954 4613 7243 7908 9226 13839 14486 18452 21729 27678 28972 32291 43458 50701 55356 64582 86916 96873 101402 129164 152103 158209 193746 202804 304206 316418 354907 387492 474627 608412 632836 709814 949254 1064721 1107463 1419628 1898508 2129442 2214926 3322389 4258884 4429852 4773137 6644778 7752241 9546274 13289556 14319411 15504482 19092548 23256723 28638822 31008964 33411959 46513446 57277644 66823918 93026892 100235877 104259731 133647836 200471754 208519462 233883713 312779193 400943508 417038924 467767426 625558386 701651139 729818117 935534852 1145907787 1251116772 1403302278 1459636234 2189454351 2291815574 2806604556 2919272468 3437723361 4378908702 4583631148 5108726819 6875446722 8021354509 8757817404 10217453638 13750893444 15326180457 16042709018 20434907276 24064063527 30652360914 32085418036 48128127054 56149481563 61304721828 96256254108 112298963126 168448444689 224597926252 336896889378 673793778756 755153231633 1510306463266 2265459694899 3020612926532 4530919389798 5286072621431 9061838779596 10572145242862 15858217864293 21144290485724 31716435728586 37002508350017 63432871457172 74005016700034 111007525050051 148010033400068 222015050100102 444030100200204