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44252000025244 = 2211179103121432543
BaseRepresentation
bin10100000111111001110001…
…01111011111101010011100
312210200110010222010101012221
422003330320233133222130
521300011044001301434
6234041031013235124
712215046545655034
oct1203747057375234
9183613128111187
1044252000025244
1113111193404510
124b68401332aa4
131b8cc3a907a6b
14acdb45ad08c4
1551b1693ab2b4
hex283f38bdfa9c

44252000025244 has 96 divisors (see below), whose sum is σ = 85108586250240. Its totient is φ = 19965593995200.

The previous prime is 44252000025217. The next prime is 44252000025281.

It is a happy number.

44252000025244 is nontrivially palindromic in base 10.

It is a congruent number.

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, 17401493037 + ... + 17401495579.

It is an arithmetic number, because the mean of its divisors is an integer number (886547773440).

Almost surely, 244252000025244 is an apocalyptic number.

44252000025244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44252000025244 is a deficient number, since it is larger than the sum of its proper divisors (40856586224996).

44252000025244 is a wasteful number, since it uses less digits than its factorization.

44252000025244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

It can be divided in two parts, 442520000 and 25244, that added together give a palindrome (442545244).

The spelling of 44252000025244 in words is "forty-four trillion, two hundred fifty-two billion, twenty-five thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 179 358 716 1031 1969 2062 2143 2543 3938 4124 4286 5086 7876 8572 10172 11341 22682 23573 27973 45364 47146 55946 94292 111892 184549 369098 383597 455197 738196 767194 910394 1534388 1820788 2030039 2209433 2621833 4060078 4219567 4418866 5007167 5243666 5449649 8120156 8439134 8837732 10014334 10487332 10899298 16878268 20028668 21798596 24303763 28840163 48607526 57680326 59946139 97215052 115360652 119892278 239784556 395488507 469308107 790977014 938616214 975487171 1581954028 1877232428 1950974342 3901948684 4350373577 5162389177 5618588119 8700747154 10324778354 10730358881 11237176238 17401494308 20649556708 21460717762 22474352476 42921435524 61804469309 123608938618 247217877236 1005727273301 2011454546602 4022909093204 11063000006311 22126000012622 44252000025244