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73340441004 = 22341313476249
BaseRepresentation
bin100010001001101101…
…1100101000110101100
321000022012222102110210
41010103123211012230
52200200123103004
653405300102420
75204305314465
oct1042333450654
9230265872423
1073340441004
1129115848916
1212269694a10
136bba51916c
14379a51bd6c
151d93a01089
hex11136e51ac

73340441004 has 48 divisors (see below), whose sum is σ = 175861980000. Its totient is φ = 23774300160.

The previous prime is 73340441003. The next prime is 73340441059. The reversal of 73340441004 is 40014404337.

It is a super-2 number, since 2×733404410042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73340441003) 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 15 ways as a sum of consecutive naturals, for example, 84129 + ... + 392120.

It is an arithmetic number, because the mean of its divisors is an integer number (3663791250).

Almost surely, 273340441004 is an apocalyptic number.

It is an amenable number.

73340441004 is an abundant number, since it is smaller than the sum of its proper divisors (102521538996).

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

73340441004 is a wasteful number, since it uses less digits than its factorization.

73340441004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476610 (or 476608 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 73340441004 in words is "seventy-three billion, three hundred forty million, four hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 313 492 626 939 1252 1878 3756 12833 25666 38499 51332 76998 153996 476249 952498 1428747 1904996 2857494 5714988 19526209 39052418 58578627 78104836 117157254 149065937 234314508 298131874 447197811 596263748 894395622 1788791244 6111703417 12223406834 18335110251 24446813668 36670220502 73340441004