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120140020424300 = 2252191391321344363
BaseRepresentation
bin11011010100010001000111…
…001111011001111001101100
3120202101021101120220120120012
4123110101013033121321230
5111221333230212034200
61103303321412312352
734206554463150422
oct3324210717317154
9522337346816505
10120140020424300
113530a107538438
1211583b359126b8
1352062032c0246
142194b45297112
15dd51b705da35
hex6d44473d9e6c

120140020424300 has 144 divisors (see below), whose sum is σ = 276609418780800. Its totient is φ = 45164866982400.

The previous prime is 120140020424287. The next prime is 120140020424329. The reversal of 120140020424300 is 3424020041021.

120140020424300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348703919 + ... + 349048281.

Almost surely, 2120140020424300 is an apocalyptic number.

120140020424300 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 120140020424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138304709390400).

120140020424300 is an abundant number, since it is smaller than the sum of its proper divisors (156469398356500).

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

120140020424300 is a wasteful number, since it uses less digits than its factorization.

120140020424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345856 (or 345849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 120140020424300 its reverse (3424020041021), we get a palindrome (123564040465321).

The spelling of 120140020424300 in words is "one hundred twenty trillion, one hundred forty billion, twenty million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 139 190 278 380 475 556 695 950 1321 1390 1900 2641 2642 2780 3475 5282 5284 6605 6950 10564 13205 13210 13900 25099 26410 26420 33025 50198 52820 66025 66050 100396 125495 132050 132100 183619 250990 264100 344363 367238 501980 627475 688726 734476 918095 1254950 1377452 1721815 1836190 2509900 3443630 3488761 3672380 4590475 6542897 6887260 6977522 8609075 9180950 13085794 13955044 17218150 17443805 18361900 26171588 32714485 34436300 34887610 47866457 65428970 69775220 87219025 95732914 130857940 163572425 174438050 191465828 239332285 327144850 348876100 454903523 478664570 654289700 909462683 909807046 957329140 1196661425 1818925366 1819614092 2274517615 2393322850 3637850732 4547313415 4549035230 4786645700 8643166937 9094626830 9098070460 11372588075 17286333874 18189253660 22736567075 22745176150 34572667748 43215834685 45473134150 45490352300 63231589697 86431669370 90946268300 126463179394 172863338740 216079173425 252926358788 316157948485 432158346850 632315896970 864316693700 1201400204243 1264631793940 1580789742425 2402800408486 3161579484850 4805600816972 6007001021215 6323158969700 12014002042430 24028004084860 30035005106075 60070010212150 120140020424300