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144300404323000 = 23531156031248241
BaseRepresentation
bin100000110011110110001110…
…010101110011001010111000
3200220220222120021200000011101
4200303312032111303022320
5122403204212001314000
61230522405100141144
742252234352643032
oct4063661625631270
9626828507600141
10144300404323000
1141a84504377a52
12142264755377b4
136269615030bc3
14278c26933ac52
1511a38b83bee6a
hex833d8e5732b8

144300404323000 has 64 divisors (see below), whose sum is σ = 337666137513120. Its totient is φ = 57719616192000.

The previous prime is 144300404322989. The next prime is 144300404323001. The reversal of 144300404323000 is 323404003441.

144300404323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1443004043230003 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144300404323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300404323001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114978880 + ... + 116227120.

Almost surely, 2144300404323000 is an apocalyptic number.

144300404323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300404323000 is an abundant number, since it is smaller than the sum of its proper divisors (193365733190120).

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

144300404323000 is a wasteful number, since it uses less digits than its factorization.

144300404323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363865 (or 1363851 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 144300404323000 its reverse (323404003441), we get a palindrome (144623808326441).

The spelling of 144300404323000 in words is "one hundred forty-four trillion, three hundred billion, four hundred four million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 115603 231206 462412 578015 924824 1156030 1248241 2312060 2496482 2890075 4624120 4992964 5780150 6241205 9985928 11560300 12482410 14450375 23120600 24964820 28900750 31206025 49929640 57801500 62412050 115603000 124824100 156030125 249648200 312060250 624120500 1248241000 144300404323 288600808646 577201617292 721502021615 1154403234584 1443004043230 2886008086460 3607510108075 5772016172920 7215020216150 14430040432300 18037550540375 28860080864600 36075101080750 72150202161500 144300404323000