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203322143211440 = 245111371978560817
BaseRepresentation
bin101110001110101110100000…
…000111101111111110110000
3222122220101222202012001101212
4232032232200013233332300
5203122212222130231230
62000232523024015252
760553353151560101
oct5616564007577660
9878811882161355
10203322143211440
115986a489277870
121a97923a461528
13895b271332656
14382cbb683c3a8
151878d1ee5d895
hexb8eba01effb0

203322143211440 has 160 divisors (see below), whose sum is σ = 522100045583424. Its totient is φ = 73023075614720.

The previous prime is 203322143211431. The next prime is 203322143211457. The reversal of 203322143211440 is 44112341223302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 203322143211397 and 203322143211406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19469912 + ... + 28030728.

Almost surely, 2203322143211440 is an apocalyptic number.

203322143211440 is a gapful number since it is divisible by the number (20) 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 203322143211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261050022791712).

203322143211440 is an abundant number, since it is smaller than the sum of its proper divisors (318777902371984).

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

203322143211440 is a wasteful number, since it uses less digits than its factorization.

203322143211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561175 (or 8561169 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 203322143211440 its reverse (44112341223302), we get a palindrome (247434484434742).

The spelling of 203322143211440 in words is "two hundred three trillion, three hundred twenty-two billion, one hundred forty-three million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 137 176 197 220 274 394 440 548 685 788 880 985 1096 1370 1507 1576 1970 2167 2192 2740 3014 3152 3940 4334 5480 6028 7535 7880 8668 10835 10960 12056 15070 15760 17336 21670 24112 26989 30140 34672 43340 53978 60280 86680 107956 120560 134945 173360 215912 269890 296879 431824 539780 593758 1079560 1187516 1484395 2159120 2375032 2968790 4750064 5937580 8560817 11875160 17121634 23750320 34243268 42804085 68486536 85608170 94168987 136973072 171216340 188337974 342432680 376675948 470844935 684865360 753351896 941689870 1172831929 1506703792 1686480949 1883379740 2345663858 3372961898 3766759480 4691327716 5864159645 6745923796 7533518960 8432404745 9382655432 11728319290 12901151219 13491847592 16864809490 18551290439 18765310864 23456638580 25802302438 26983695184 33729618980 37102580878 46913277160 51604604876 64505756095 67459237960 74205161756 92756452195 93826554320 103209209752 129011512190 134918475920 148410323512 185512904390 206418419504 231047890013 258023024380 296820647024 371025808780 462095780026 516046048760 742051617560 924191560052 1032092097520 1155239450065 1484103235120 1848383120104 2310478900130 2541526790143 3696766240208 4620957800260 5083053580286 9241915600520 10166107160572 12707633950715 18483831201040 20332214321144 25415267901430 40664428642288 50830535802860 101661071605720 203322143211440