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144414340120 = 2355961192517
BaseRepresentation
bin1000011001111111000…
…0111111010000011000
3111210202111001120222201
42012133300333100120
54331230032340440
6150202032255544
713301502431401
oct2063760772030
9453674046881
10144414340120
1156278148216
1223ba40a15b4
13108062a617b
146dbd9da9a8
153b5353e19a
hex219fc3f418

144414340120 has 32 divisors (see below), whose sum is σ = 330439597200. Its totient is φ = 56786654848.

The previous prime is 144414340097. The next prime is 144414340141. The reversal of 144414340120 is 21043414441.

144414340120 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-2 number, since 2×1444143401202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30593899 + ... + 30598618.

Almost surely, 2144414340120 is an apocalyptic number.

144414340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144414340120 is an abundant number, since it is smaller than the sum of its proper divisors (186025257080).

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

144414340120 is a wasteful number, since it uses less digits than its factorization.

144414340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61192587 (or 61192583 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144414340120 its reverse (21043414441), we get a palindrome (165457754561).

The spelling of 144414340120 in words is "one hundred forty-four billion, four hundred fourteen million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 61192517 122385034 244770068 305962585 489540136 611925170 1223850340 2447700680 3610358503 7220717006 14441434012 18051792515 28882868024 36103585030 72207170060 144414340120