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441343649568 = 25326342141521
BaseRepresentation
bin1100110110000100010…
…00011010011100100000
31120012011222221101012010
412123002020122130200
524212332433241233
6534430034032520
743612623060333
oct6330210323440
91505158841163
10441343649568
11160199a91228
1271651118740
1332806b9c603
141750adb461a
15b731343b63
hex66c221a720

441343649568 has 96 divisors (see below), whose sum is σ = 1165722509952. Its totient is φ = 146203545600.

The previous prime is 441343649543. The next prime is 441343649609. The reversal of 441343649568 is 865946343144.

It is a Cunningham number, because it is equal to 6643372-1.

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

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, 10608648 + ... + 10650168.

It is an arithmetic number, because the mean of its divisors is an integer number (12142942812).

Almost surely, 2441343649568 is an apocalyptic number.

441343649568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441343649568 is an abundant number, since it is smaller than the sum of its proper divisors (724378860384).

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

441343649568 is a wasteful number, since it uses less digits than its factorization.

441343649568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42218 (or 42210 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 57.

The spelling of 441343649568 in words is "four hundred forty-one billion, three hundred forty-three million, six hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 421 526 789 842 1052 1263 1578 1684 2104 2526 3156 3368 4208 5052 6312 6736 8416 10104 12624 13472 20208 25248 40416 41521 83042 110723 124563 166084 221446 249126 332168 332169 442892 498252 664336 664338 885784 996504 1328672 1328676 1771568 1993008 2657352 3543136 3986016 5314704 10629408 10920023 17480341 21840046 32760069 34960682 43680092 52441023 65520138 69921364 87360184 104882046 131040276 139842728 174720368 209764092 262080552 279685456 349440736 419528184 524161104 559370912 839056368 1048322208 1678112736 4597329683 9194659366 13791989049 18389318732 27583978098 36778637464 55167956196 73557274928 110335912392 147114549856 220671824784 441343649568