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144300141213440 = 2851011116183023
BaseRepresentation
bin100000110011110101111110…
…101010000111011100000000
3200220220221212221120122200212
4200303311332222013130000
5122403203142122312230
61230522323020533252
742252225006360542
oct4063657652073400
9626827787518625
10144300141213440
1141a843898aa933
12142264013b1228
1362695a267b484
14278c24240b692
1511a38a024b895
hex833d7ea87700

144300141213440 has 72 divisors (see below), whose sum is σ = 349066149461568. Its totient is φ = 57148570726400.

The previous prime is 144300141213383. The next prime is 144300141213443. The reversal of 144300141213440 is 44312141003441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144300141213397 and 144300141213406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300141213443) 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, 557962232 + ... + 558220791.

It is an arithmetic number, because the mean of its divisors is an integer number (4848140964744).

Almost surely, 2144300141213440 is an apocalyptic number.

144300141213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300141213440 is an abundant number, since it is smaller than the sum of its proper divisors (204766008248128).

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

144300141213440 is a wasteful number, since it uses less digits than its factorization.

144300141213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116183145 (or 1116183131 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144300141213440 its reverse (44312141003441), we get a palindrome (188612282216881).

The spelling of 144300141213440 in words is "one hundred forty-four trillion, three hundred billion, one hundred forty-one million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 3232 4040 6464 8080 12928 16160 25856 32320 64640 129280 1116183023 2232366046 4464732092 5580915115 8929464184 11161830230 17858928368 22323660460 35717856736 44647320920 71435713472 89294641840 112734485323 142871426944 178589283680 225468970646 285742853888 357178567360 450937941292 563672426615 714357134720 901875882584 1127344853230 1428714269440 1803751765168 2254689706460 3607503530336 4509379412920 7215007060672 9018758825840 14430014121344 18037517651680 28860028242688 36075035303360 72150070606720 144300141213440