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140527356855318 = 232237115053317599
BaseRepresentation
bin11111111100111100010011…
…001011111100010000010110
3200102120021200010012111100100
4133330330103023330100112
5121404400011323332233
61214513213154354530
741412523622430216
oct3774742313742026
9612507603174310
10140527356855318
114085a354449a84
121391718758ba46
136054899455614
14269b7bb8c6246
15113a68bb94813
hex7fcf132fc416

140527356855318 has 96 divisors (see below), whose sum is σ = 322211287756800. Its totient is φ = 44171682287040.

The previous prime is 140527356855311. The next prime is 140527356855331. The reversal of 140527356855318 is 813558653725041.

140527356855318 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 2 + 7 + 3 + 5 + 68 + 553 + 18 = 666.

It is a super-2 number, since 2×1405273568553182 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140527356855311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442309083 + ... + 442626681.

It is an arithmetic number, because the mean of its divisors is an integer number (3356367580800).

Almost surely, 2140527356855318 is an apocalyptic number.

140527356855318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140527356855318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161105643878400).

140527356855318 is an abundant number, since it is smaller than the sum of its proper divisors (181683930901482).

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

140527356855318 is a wasteful number, since it uses less digits than its factorization.

140527356855318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332754 (or 332751 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 140527356855318 in words is "one hundred forty trillion, five hundred twenty-seven billion, three hundred fifty-six million, eight hundred fifty-five thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 69 71 138 142 207 213 414 426 639 1278 1633 3266 4899 9798 14697 15053 29394 30106 45159 90318 135477 270954 317599 346219 635198 692438 952797 1038657 1068763 1905594 2077314 2137526 2858391 3115971 3206289 5716782 6231942 6412578 7304777 9618867 14609554 19237734 21914331 22549529 24581549 43828662 45099058 49163098 65742993 67648587 73744647 131485986 135297174 147489294 202945761 221233941 405891522 442467882 518639167 1037278334 1555917501 3111835002 4667752503 4780817747 9335505006 9561635494 14342453241 28684906482 43027359723 86054719446 109958808181 219917616362 329876424543 339438060037 659752849086 678876120074 989629273629 1018314180111 1979258547258 2036628360222 3054942540333 6109885080666 7807075380851 15614150761702 23421226142553 46842452285106 70263678427659 140527356855318