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143214133140 = 2232513459113331
BaseRepresentation
bin1000010101100000111…
…0100011111110010100
3111200122211122202112100
42011120032203332110
54321300304230030
6145442555522100
713226660021601
oct2053016437624
9450584582470
10143214133140
115581170aa21
122390a159330
131067473b720
146d084556a8
153ad2eb2360
hex21583a3f94

143214133140 has 144 divisors (see below), whose sum is σ = 467969838336. Its totient is φ = 35242387200.

The previous prime is 143214133129. The next prime is 143214133147. The reversal of 143214133140 is 41331412341.

143214133140 is a `hidden beast` number, since 1 + 4 + 321 + 4 + 1 + 331 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143214133147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10736275 + ... + 10749605.

It is an arithmetic number, because the mean of its divisors is an integer number (3249790544).

Almost surely, 2143214133140 is an apocalyptic number.

143214133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143214133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233984919168).

143214133140 is an abundant number, since it is smaller than the sum of its proper divisors (324755705196).

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

143214133140 is a wasteful number, since it uses less digits than its factorization.

143214133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17950 (or 17945 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 143214133140 its reverse (41331412341), we get a palindrome (184545545481).

The spelling of 143214133140 in words is "one hundred forty-three billion, two hundred fourteen million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4591 9182 13331 13773 18364 22955 26662 27546 39993 41319 45910 53324 55092 59683 66655 68865 79986 82638 91820 119366 119979 133310 137730 159972 165276 173303 179049 199965 206595 238732 239958 266620 275460 298415 346606 358098 399930 413190 479916 519909 537147 596830 599895 693212 716196 799860 826380 866515 895245 1039818 1074294 1193660 1199790 1559727 1733030 1790490 2079636 2148588 2399580 2599545 2685735 3119454 3466060 3580980 5199090 5371470 6238908 7798635 10398180 10742940 15597270 31194540 61202621 122405242 183607863 244810484 306013105 367215726 550823589 612026210 734431452 795634073 918039315 1101647178 1224052420 1591268146 1836078630 2203294356 2386902219 2754117945 3182536292 3672157260 3978170365 4773804438 5508235890 7160706657 7956340730 9547608876 11016471780 11934511095 14321413314 15912681460 23869022190 28642826628 35803533285 47738044380 71607066570 143214133140