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40740283643766 = 23731412689283817
BaseRepresentation
bin10010100001101100101100…
…01000100111011101110110
312100020201210102012112122120
421100312112020213131312
520314442100103100031
6222351454455540410
711403250131145560
oct1120662610473566
9170221712175576
1040740283643766
1111a87948024543
12469b8a668a706
131996a3b7a8cb5
14a0bba9904330
154a9b35638a96
hex250d96227776

40740283643766 has 128 divisors (see below), whose sum is σ = 98506007470080. Its totient is φ = 10985722675200.

The previous prime is 40740283643713. The next prime is 40740283643791. The reversal of 40740283643766 is 66734638204704.

40740283643766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×407402836437663 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 143402290 + ... + 143686106.

It is an arithmetic number, because the mean of its divisors is an integer number (769578183360).

Almost surely, 240740283643766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40740283643766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49253003735040).

40740283643766 is an abundant number, since it is smaller than the sum of its proper divisors (57765723826314).

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

40740283643766 is a wasteful number, since it uses less digits than its factorization.

40740283643766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286590.

The product of its (nonzero) digits is 97542144, while the sum is 60.

The spelling of 40740283643766 in words is "forty trillion, seven hundred forty billion, two hundred eighty-three million, six hundred forty-three thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 41 42 62 82 93 123 186 217 246 287 434 574 651 861 1271 1302 1722 2542 2689 3813 5378 7626 8067 8897 16134 17794 18823 26691 37646 53382 56469 83359 110249 112938 166718 220498 250077 283817 330747 500154 567634 583513 661494 771743 851451 1167026 1543486 1702902 1750539 1986719 2315229 3417719 3501078 3973438 4630458 5960157 6835438 8798327 10253157 11636497 11920314 17596654 20506314 23272994 23924033 26394981 34909491 47848066 52789962 61588289 69818982 71772099 81455479 123176578 143544198 162910958 184764867 244366437 360731407 369529734 488732874 721462814 763183913 1082194221 1526367826 2164388442 2289551739 2525119849 4579103478 5050239698 5342287391 7575359547 10684574782 15150719094 16026862173 23658701303 31290540433 32053724346 47317402606 62581080866 70976103909 93871621299 141952207818 165610909121 187743242598 219033783031 331221818242 438067566062 496832727363 657101349093 970006753423 993665454726 1314202698186 1940013506846 2910020260269 5820040520538 6790047273961 13580094547922 20370141821883 40740283643766