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42803193919134 = 231111313185351361
BaseRepresentation
bin10011011101101111001010…
…01010110011011010011110
312121112221112011211111122110
421232313211022303122132
521102241420120403014
6231011303230254450
712005300022156315
oct1156674512633236
9177487464744573
1042803193919134
11127028070aa340
124973667057426
131ab64296c827c
14a7d98557527c
154e36215d7d59
hex26ede52b369e

42803193919134 has 128 divisors (see below), whose sum is σ = 95047581758976. Its totient is φ = 12742539264000.

The previous prime is 42803193919133. The next prime is 42803193919147. The reversal of 42803193919134 is 43191939130824.

It is a super-2 number, since 2×428031939191342 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42803193919133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833353614 + ... + 833404974.

It is an arithmetic number, because the mean of its divisors is an integer number (742559232492).

Almost surely, 242803193919134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42803193919134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47523790879488).

42803193919134 is an abundant number, since it is smaller than the sum of its proper divisors (52244387839842).

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

42803193919134 is a wasteful number, since it uses less digits than its factorization.

42803193919134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52474.

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 42803193919134 in words is "forty-two trillion, eight hundred three billion, one hundred ninety-three million, nine hundred nineteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 113 131 226 262 339 393 678 786 853 1243 1441 1706 2486 2559 2882 3729 4323 5118 7458 8646 9383 14803 18766 28149 29606 44409 51361 56298 88818 96389 102722 111743 154083 162833 192778 223486 289167 308166 325666 335229 488499 564971 578334 670458 976998 1060279 1129942 1229173 1694913 2120558 2458346 3180837 3389826 3687519 5803793 6361674 6728291 7375038 11607586 12626959 13456582 17411379 20184873 25253918 34822758 37880877 40369746 43810933 63841723 74011201 75761754 87621866 127683446 131432799 138896549 148022402 191525169 222033603 262865598 277793098 383050338 416689647 444067206 481920263 760296883 833379294 963840526 1445760789 1520593766 2280890649 2891521578 4561781298 4950635429 5739232223 8363265713 9901270858 11478464446 14851906287 16726531426 17217696669 25089797139 29703812574 34435393338 50179594278 54456989719 63131554453 108913979438 126263108906 163370969157 189394663359 326741938314 378789326718 648533241199 1297066482398 1945599723597 3891199447194 7133865653189 14267731306378 21401596959567 42803193919134