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4441342423120 = 245577206346639
BaseRepresentation
bin100000010100001010010…
…1000110011000001010000
3120201120212210022202202021
41000220110220303001100
51040231332130014440
613240154033501224
7635606414465011
oct100502450630120
916646783282667
104441342423120
1114626210153a9
125b8918711814
13262a80658a25
14114d680b5008
157a7e215a84a
hex40a14a33050

4441342423120 has 80 divisors (see below), whose sum is σ = 10349253319680. Its totient is φ = 1772560392192.

The previous prime is 4441342423099. The next prime is 4441342423127. The reversal of 4441342423120 is 213242431444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44413424231202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441342423127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95204761 + ... + 95251399.

It is an arithmetic number, because the mean of its divisors is an integer number (129365666496).

Almost surely, 24441342423120 is an apocalyptic number.

4441342423120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441342423120 is an abundant number, since it is smaller than the sum of its proper divisors (5907910896560).

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

4441342423120 is a wasteful number, since it uses less digits than its factorization.

4441342423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49292 (or 49286 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 4441342423120 its reverse (213242431444), we get a palindrome (4654584854564).

The spelling of 4441342423120 in words is "four trillion, four hundred forty-one billion, three hundred forty-two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 577 1154 2063 2308 2885 4126 4616 5770 8252 9232 10315 11540 16504 20630 23080 33008 41260 46160 46639 82520 93278 165040 186556 233195 373112 466390 746224 932780 1190351 1865560 2380702 3731120 4761404 5951755 9522808 11903510 19045616 23807020 26910703 47614040 53821406 95228080 96216257 107642812 134553515 192432514 215285624 269107030 384865028 430571248 481081285 538214060 769730056 962162570 1076428120 1539460112 1924325140 2152856240 3848650280 7697300560 55516780289 111033560578 222067121156 277583901445 444134242312 555167802890 888268484624 1110335605780 2220671211560 4441342423120