Search a number
-
+
141383531761230 = 235114871047783969
BaseRepresentation
bin100000001001011001101011…
…001100000000111001001110
3200112121010121102100010102210
4200021121223030000321032
5122012411433112324410
61220410410422131250
741531423501154153
oct4011315314007116
9615533542303383
10141383531761230
114105a4678aaa50
1213a350aa880b26
1360b7543549a95
1426caddc6ba22a
151152a9b9b3220
hex80966b300e4e

141383531761230 has 128 divisors (see below), whose sum is σ = 370967712261120. Its totient is φ = 34200744099840.

The previous prime is 141383531761223. The next prime is 141383531761291. The reversal of 141383531761230 is 32167135383141.

It is a super-2 number, since 2×1413835317612302 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141383531761230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1683716686 + ... + 1683800654.

It is an arithmetic number, because the mean of its divisors is an integer number (2898185252040).

Almost surely, 2141383531761230 is an apocalyptic number.

141383531761230 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 141383531761230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185483856130560).

141383531761230 is an abundant number, since it is smaller than the sum of its proper divisors (229584180499890).

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

141383531761230 is a wasteful number, since it uses less digits than its factorization.

141383531761230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94954.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 141383531761230 in words is "one hundred forty-one trillion, three hundred eighty-three billion, five hundred thirty-one million, seven hundred sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 487 974 1461 2435 2922 4870 5357 7305 10477 10714 14610 16071 20954 26785 31431 32142 52385 53570 62862 80355 83969 104770 115247 157155 160710 167938 230494 251907 314310 345741 419845 503814 576235 691482 839690 923659 1152470 1259535 1728705 1847318 2519070 2770977 3457410 4618295 5102299 5541954 9236590 10204598 13854885 15306897 25511495 27709770 30613794 40892903 51022990 56125289 76534485 81785806 112250578 122678709 153068970 168375867 204464515 245357418 280626445 336751734 408929030 449821933 561252890 613393545 841879335 879743213 899643866 1226787090 1349465799 1683758670 1759486426 2249109665 2639229639 2698931598 4398716065 4498219330 5278459278 6747328995 8797432130 9677175343 13196148195 13494657990 19354350686 26392296390 29031526029 48385876715 58063052058 96771753430 145157630145 290315260290 428434944731 856869889462 1285304834193 2142174723655 2570609668386 4284349447310 4712784392041 6426524170965 9425568784082 12853048341930 14138353176123 23563921960205 28276706352246 47127843920410 70691765880615 141383531761230