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144688912470 = 2345617289511
BaseRepresentation
bin1000011011000000100…
…0011001100001010110
3111211110121201022110000
42012300020121201112
54332310330144340
6150245201312130
713311345315024
oct2066010314126
9454417638400
10144688912470
11563a9134513
1224060035646
131084b14020b
147008271714
153b6c6c8d30
hex21b0219856

144688912470 has 80 divisors (see below), whose sum is σ = 389684310048. Its totient is φ = 38521042560.

The previous prime is 144688912457. The next prime is 144688912471. The reversal of 144688912470 is 74219886441.

144688912470 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 88 + 91 + 2 + 470 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144688912471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355015 + ... + 644525.

Almost surely, 2144688912470 is an apocalyptic number.

144688912470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144688912470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194842155024).

144688912470 is an abundant number, since it is smaller than the sum of its proper divisors (244995397578).

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

144688912470 is a wasteful number, since it uses less digits than its factorization.

144688912470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290147 (or 290138 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 144688912470 in words is "one hundred forty-four billion, six hundred eighty-eight million, nine hundred twelve thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 617 810 1234 1851 3085 3702 5553 6170 9255 11106 16659 18510 27765 33318 49977 55530 83295 99954 166590 249885 289511 499770 579022 868533 1447555 1737066 2605599 2895110 4342665 5211198 7816797 8685330 13027995 15633594 23450391 26055990 39083985 46900782 78167970 117251955 178628287 234503910 357256574 535884861 893141435 1071769722 1607654583 1786282870 2679424305 3215309166 4822963749 5358848610 8038272915 9645927498 14468891247 16076545830 24114818745 28937782494 48229637490 72344456235 144688912470