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144034012024340 = 22513615291477297
BaseRepresentation
bin100000101111111110001000…
…000111110100111000010100
3200212222111221221120002122112
4200233332020013310320110
5122334323124034234330
61230200151152450152
742224054042525054
oct4057761007647024
9625874857502575
10144034012024340
1141991532913139
12141a290b249958
13624a46cb42a09
14277d3d7839564
15119b9c641d795
hex82ff881f4e14

144034012024340 has 24 divisors (see below), whose sum is σ = 302693667354792. Its totient is φ = 57571272980480.

The previous prime is 144034012024321. The next prime is 144034012024349. The reversal of 144034012024340 is 43420210430441.

It can be written as a sum of positive squares in 4 ways, for example, as 1346495668996 + 142687516355344 = 1160386^2 + 11945188^2 .

It is a super-3 number, since 3×1440340120243403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144034012024297 and 144034012024306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034012024349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2645711429 + ... + 2645765868.

It is an arithmetic number, because the mean of its divisors is an integer number (12612236139783).

Almost surely, 2144034012024340 is an apocalyptic number.

144034012024340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034012024340 is an abundant number, since it is smaller than the sum of its proper divisors (158659655330452).

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

144034012024340 is a wasteful number, since it uses less digits than its factorization.

144034012024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291478667 (or 5291478665 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144034012024340 its reverse (43420210430441), we get a palindrome (187454222454781).

The spelling of 144034012024340 in words is "one hundred forty-four trillion, thirty-four billion, twelve million, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1361 2722 5444 6805 13610 27220 5291477297 10582954594 21165909188 26457386485 52914772970 105829545940 7201700601217 14403401202434 28806802404868 36008503006085 72017006012170 144034012024340