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144744307440 = 2435603101281
BaseRepresentation
bin1000011011001101101…
…1101101101011110000
3111211121110221200001120
42012303123231223300
54332414020314230
6150254500502240
713312620212265
oct2066333555360
9454543850046
10144744307440
115642742a587
12240766aa980
13108597670c5
14701177126c
153b724bc310
hex21b36edaf0

144744307440 has 40 divisors (see below), whose sum is σ = 448707353808. Its totient is φ = 38598481920.

The previous prime is 144744307427. The next prime is 144744307441. The reversal of 144744307440 is 44703447441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 144744307392 and 144744307401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144744307441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301550401 + ... + 301550880.

Almost surely, 2144744307440 is an apocalyptic number.

144744307440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144744307440 is an abundant number, since it is smaller than the sum of its proper divisors (303963046368).

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

144744307440 is a wasteful number, since it uses less digits than its factorization.

144744307440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603101297 (or 603101291 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 42.

The spelling of 144744307440 in words is "one hundred forty-four billion, seven hundred forty-four million, three hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 603101281 1206202562 1809303843 2412405124 3015506405 3618607686 4824810248 6031012810 7237215372 9046519215 9649620496 12062025620 14474430744 18093038430 24124051240 28948861488 36186076860 48248102480 72372153720 144744307440