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141342441022134 = 233111187517938707
BaseRepresentation
bin100000001000110011011001…
…111111010010001010110110
3200112110012112201212022012000
4200020303121333102022312
5122011223304400202014
61220335453201040130
741525440310511042
oct4010633177221266
9615405481768160
10141342441022134
1141043aa1192540
1213a29141626046
1360b36c5509b91
1426c9021301022
151151994374509
hex808cd9fd22b6

141342441022134 has 128 divisors (see below), whose sum is σ = 343012087756800. Its totient is φ = 42785590724640.

The previous prime is 141342441022117. The next prime is 141342441022163. The reversal of 141342441022134 is 431220144243141.

141342441022134 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 4 + 24 + 410 + 2 + 213 + 4 = 666.

141342441022134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651579609 + ... + 3651618315.

It is an arithmetic number, because the mean of its divisors is an integer number (2679781935600).

Almost surely, 2141342441022134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141342441022134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171506043878400).

141342441022134 is an abundant number, since it is smaller than the sum of its proper divisors (201669646734666).

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

141342441022134 is a wasteful number, since it uses less digits than its factorization.

141342441022134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45095 (or 45089 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 141342441022134 its reverse (431220144243141), we get a palindrome (572562585265275).

The spelling of 141342441022134 in words is "one hundred forty-one trillion, three hundred forty-two billion, four hundred forty-one million, twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1187 2374 3561 5179 7122 10358 10683 13057 15537 21366 26114 31074 32049 38707 39171 46611 56969 64098 77414 78342 93222 113938 116121 117513 139833 170907 232242 235026 279666 341814 348363 352539 425777 512721 696726 705078 851554 1025442 1045089 1277331 1538163 2090178 2554662 3076326 3831993 6147473 7663986 11495979 12294946 18442419 22991958 36884838 45945209 55327257 67622203 91890418 110654514 135244406 137835627 165981771 200463553 202866609 275671254 331963542 400927106 405733218 413506881 505397299 601390659 608599827 827013762 1010794598 1202781318 1217199654 1240520643 1516191897 1804171977 1825799481 2205099083 2481041286 3032383794 3608343954 3651598962 4410198166 4548575691 5412515931 6615297249 9097151382 10825031862 13230594498 13645727073 19845891747 27291454146 39691783494 59537675241 119075350482 237950237411 475900474822 713850712233 1427701424466 2141552136699 2617452611521 4283104273398 5234905223042 6424656410097 7852357834563 12849312820194 15704715669126 23557073503689 47114147007378 70671220511067 141342441022134