Search a number
-
+
40450533505404 = 223111733834624933
BaseRepresentation
bin10010011001010000111111…
…01011100011100101111100
312022020000220020012102202120
421030220133223203211330
520300220143034133104
6222010415112522540
711343311633462601
oct1114503753434574
9168200806172676
1040450533505404
1111985a7a690a80
1246537019b0450
13197561335c299
149dbb5dba66a8
154a2327c40cd9
hex24ca1fae397c

40450533505404 has 96 divisors (see below), whose sum is σ = 103830582288384. Its totient is φ = 12155061285120.

The previous prime is 40450533505391. The next prime is 40450533505439.

40450533505404 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6433722 + ... + 11058654.

It is an arithmetic number, because the mean of its divisors is an integer number (1081568565504).

Almost surely, 240450533505404 is an apocalyptic number.

40450533505404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40450533505404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51915291144192).

40450533505404 is an abundant number, since it is smaller than the sum of its proper divisors (63380048782980).

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

40450533505404 is a wasteful number, since it uses less digits than its factorization.

40450533505404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625507 (or 4625505 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 40450533505404 in words is "forty trillion, four hundred fifty billion, five hundred thirty-three million, five hundred five thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 383 519 692 766 1038 1149 1532 1903 2076 2298 3806 4213 4596 5709 7612 8426 11418 12639 16852 22836 25278 50556 66259 132518 198777 265036 397554 728849 795108 1457698 2186547 2915396 4373094 4624933 8746188 9249866 13874799 18499732 27749598 50874263 55499196 101748526 152622789 203497052 305245578 610491156 800113409 1600226818 1771349339 2400340227 3200453636 3542698678 4800680454 5314048017 7085397356 8801247499 9601360908 10628096034 17602494998 19484842729 21256192068 26403742497 35204989996 38969685458 52807484994 58454528187 77939370916 105614969988 116909056374 233818112748 306443435647 612886871294 919330306941 1225773742588 1838660613882 3370877792117 3677321227764 6741755584234 10112633376351 13483511168468 20225266752702 40450533505404