Search a number
-
+
40406703740334 = 232172111275749057
BaseRepresentation
bin10010010111111111010110…
…01110010001010110101110
312022001211202122202200020100
421023333223032101112232
520244010412124142314
6221534330004531530
711340200533563141
oct1113775316212656
9168054678680210
1040406703740334
1111969428951838
12464710b3b0ba6
131971449a20559
149d99a2b1a058
154a110ee0dc09
hex24bfeb3915ae

40406703740334 has 96 divisors (see below), whose sum is σ = 93146257410336. Its totient is φ = 12615288053760.

The previous prime is 40406703740327. The next prime is 40406703740339. The reversal of 40406703740334 is 43304730760404.

It is a self number, because there is not a number n which added to its sum of digits gives 40406703740334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40406703740339) 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, 823643934 + ... + 823692990.

It is an arithmetic number, because the mean of its divisors is an integer number (970273514691).

Almost surely, 240406703740334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40406703740334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46573128705168).

40406703740334 is an abundant number, since it is smaller than the sum of its proper divisors (52739553670002).

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

40406703740334 is a wasteful number, since it uses less digits than its factorization.

40406703740334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62050 (or 62047 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 45.

The spelling of 40406703740334 in words is "forty trillion, four hundred six billion, seven hundred three million, seven hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 211 306 422 633 1266 1899 3587 3798 7174 10761 12757 21522 25514 32283 38271 49057 64566 76542 98114 114813 147171 216869 229626 294342 433738 441513 650607 833969 883026 1301214 1667938 1951821 2501907 2691727 3903642 5003814 5383454 7505721 8075181 10351027 15011442 16150362 20702054 24225543 31053081 45759359 48451086 62106162 91518718 93159243 137278077 175967459 186318486 274556154 351934918 411834231 527902377 625820149 823668462 1055804754 1251640298 1583707131 1877460447 3167414262 3754920894 5632381341 10638942533 11264762682 21277885066 31916827599 63833655198 95750482797 132048051439 191500965594 264096102878 396144154317 792288308634 1188432462951 2244816874463 2376864925902 4489633748926 6734450623389 13468901246778 20203351870167 40406703740334