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14032404144 = 24331123128389
BaseRepresentation
bin11010001000110010…
…10111111010110000
31100012221102222201000
431010121113322300
5212214243413034
610240231042000
71004510316153
oct150431277260
940187388630
1014032404144
115a50a20a20
122877510300
131428246225
1497190dc9a
15571dd4599
hex344657eb0

14032404144 has 160 divisors (see below), whose sum is σ = 45850636800. Its totient is φ = 4067331840.

The previous prime is 14032404143. The next prime is 14032404233. The reversal of 14032404144 is 44140423041.

14032404144 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 240 + 414 + 4 = 666.

14032404144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14032404143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45102 + ... + 173490.

It is an arithmetic number, because the mean of its divisors is an integer number (286566480).

Almost surely, 214032404144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14032404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22925318400).

14032404144 is an abundant number, since it is smaller than the sum of its proper divisors (31818232656).

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

14032404144 is a wasteful number, since it uses less digits than its factorization.

14032404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128440 (or 128428 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14032404144 its reverse (44140423041), we get a palindrome (58172827185).

The spelling of 14032404144 in words is "fourteen billion, thirty-two million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2277 2376 2484 3036 3312 4048 4554 4752 4968 6072 6831 9108 9936 12144 13662 18216 27324 36432 54648 109296 128389 256778 385167 513556 770334 1027112 1155501 1412279 1540668 2054224 2311002 2824558 2952947 3081336 3466503 4236837 4622004 5649116 5905894 6162672 6933006 8473674 8858841 9244008 11298232 11811788 12710511 13866012 16947348 17717682 18488016 22596464 23623576 25421022 26576523 27732024 32482417 33894696 35435364 38131533 47247152 50842044 53153046 55464048 64964834 67789392 70870728 76263066 79729569 97447251 101684088 106306092 129929668 141741456 152526132 159459138 194894502 203368176 212612184 259859336 292341753 305052264 318918276 389789004 425224368 519718672 584683506 610104528 637836552 779578008 877025259 1169367012 1275673104 1559156016 1754050518 2338734024 3508101036 4677468048 7016202072 14032404144