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144444012431440 = 2451995028955547
BaseRepresentation
bin100000110101111011111110…
…000011010000100001010000
3200221102201020120122210012111
4200311323332003100201100
5122413032314140301230
61231112355132235104
742265510165504651
oct4065737603204120
9627381216583174
10144444012431440
114202a3a8408397
121424a27360ba94
13627a0202818b7
1427951adc29528
1511a74c0c5592a
hex835efe0d0850

144444012431440 has 40 divisors (see below), whose sum is σ = 353507714638560. Its totient is φ = 54736678394496.

The previous prime is 144444012431423. The next prime is 144444012431441. The reversal of 144444012431440 is 44134210444441.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144444012431393 and 144444012431402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144444012431441) 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, 47514476254 + ... + 47514479293.

It is an arithmetic number, because the mean of its divisors is an integer number (8837692865964).

Almost surely, 2144444012431440 is an apocalyptic number.

144444012431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144444012431440 is an abundant number, since it is smaller than the sum of its proper divisors (209063702207120).

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

144444012431440 is a wasteful number, since it uses less digits than its factorization.

144444012431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95028955579 (or 95028955573 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 144444012431440 its reverse (44134210444441), we get a palindrome (188578222875881).

The spelling of 144444012431440 in words is "one hundred forty-four trillion, four hundred forty-four billion, twelve million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 95028955547 190057911094 380115822188 475144777735 760231644376 950289555470 1520463288752 1805550155393 1900579110940 3611100310786 3801158221880 7222200621572 7602316443760 9027750776965 14444401243144 18055501553930 28888802486288 36111003107860 72222006215720 144444012431440