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144425412000 = 2532534011817
BaseRepresentation
bin1000011010000001101…
…1001110010110100000
3111210210020220002202100
42012200123032112200
54331240401141000
6150203105450400
713301665514052
oct2064033162640
9453706802670
10144425412000
115628341a731
1223ba7940a00
131080868188c
146dc127d8d2
153b544c9a00
hex21a06ce5a0

144425412000 has 144 divisors (see below), whose sum is σ = 512565914952. Its totient is φ = 38513433600.

The previous prime is 144425411971. The next prime is 144425412013. The reversal of 144425412000 is 214524441.

144425412000 is a `hidden beast` number, since 14 + 442 + 5 + 4 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81108761616 + 63316650384 = 284796^2 + 251628^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969909 + ... + 2041908.

Almost surely, 2144425412000 is an apocalyptic number.

144425412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144425412000 is an abundant number, since it is smaller than the sum of its proper divisors (368140502952).

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

144425412000 is a wasteful number, since it uses less digits than its factorization.

144425412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011848 (or 4011827 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 144425412000 its reverse (214524441), we get a palindrome (144639936441).

The spelling of 144425412000 in words is "one hundred forty-four billion, four hundred twenty-five million, four hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 4011817 8023634 12035451 16047268 20059085 24070902 32094536 36106353 40118170 48141804 60177255 64189072 72212706 80236340 96283608 100295425 120354510 128378144 144425412 160472680 180531765 192567216 200590850 240709020 288850824 300886275 320945360 361063530 385134432 401181700 481418040 501477125 577701648 601772550 641890720 722127060 802363400 902658825 962836080 1002954250 1155403296 1203545100 1444254120 1504431375 1604726800 1805317650 1925672160 2005908500 2407090200 2888508240 3008862750 3209453600 3610635300 4011817000 4513294125 4814180400 5777016480 6017725500 7221270600 8023634000 9026588250 9628360800 12035451000 14442541200 16047268000 18053176500 24070902000 28885082400 36106353000 48141804000 72212706000 144425412000