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42134099544192 = 273176796333817
BaseRepresentation
bin10011001010010000111000…
…00010010100100010000000
312112011222110211201112022110
421211020130002110202000
521010311113440403232
6225340045455535320
711606042156626035
oct1145103402244200
9175158424645273
1042134099544192
1112474a75839237
124885a5482a540
131a682c8139246
14a59430a9b38c
154d10108e7acc
hex26521c094880

42134099544192 has 128 divisors (see below), whose sum is σ = 120270845096640. Its totient is φ = 13021249241088.

The previous prime is 42134099544191. The next prime is 42134099544253. The reversal of 42134099544192 is 29144599043124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×421340995441923 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42134099544191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47729533 + ... + 48604284.

Almost surely, 242134099544192 is an apocalyptic number.

It is an amenable number.

42134099544192 is an abundant number, since it is smaller than the sum of its proper divisors (78136745552448).

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

42134099544192 is a wasteful number, since it uses less digits than its factorization.

42134099544192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96333918 (or 96333906 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 42134099544192 in words is "forty-two trillion, one hundred thirty-four billion, ninety-nine million, five hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 67 68 96 102 128 134 136 192 201 204 268 272 384 402 408 536 544 804 816 1072 1088 1139 1608 1632 2144 2176 2278 3216 3264 3417 4288 4556 6432 6528 6834 8576 9112 12864 13668 18224 25728 27336 36448 54672 72896 109344 145792 218688 437376 96333817 192667634 289001451 385335268 578002902 770670536 1156005804 1541341072 1637674889 2312011608 3082682144 3275349778 4624023216 4913024667 6165364288 6454365739 6550699556 9248046432 9826049334 12330728576 12908731478 13101399112 18496092864 19363097217 19652098668 25817462956 26202798224 36992185728 38726194434 39304197336 51634925912 52405596448 77452388868 78608394672 103269851824 104811192896 109724217563 154904777736 157216789344 206539703648 209622385792 219448435126 309809555472 314433578688 329172652689 413079407296 438896870252 619619110944 628867157376 658345305378 826158814592 877793740504 1239238221888 1316690610756 1755587481008 2478476443776 2633381221512 3511174962016 5266762443024 7022349924032 10533524886048 14044699848064 21067049772096 42134099544192