Search a number
-
+
40108640283264 = 273741363935833
BaseRepresentation
bin10010001111010100001010…
…10000011010101010000000
312021000100102002210012222110
421013222011100122222000
520224114443403031024
6221145353250335320
711306516332156320
oct1107520520325200
9167010362705873
1040108640283264
1111863a8489a943
1245b93a658a540
13194c2c817b647
149c93a8c75280
154984b777a629
hex247a8541aa80

40108640283264 has 128 divisors (see below), whose sum is σ = 124728089028480. Its totient is φ = 11180108759040.

The previous prime is 40108640283263. The next prime is 40108640283269. The reversal of 40108640283264 is 46238204680104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40108640283263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181857709 + ... + 182078124.

It is an arithmetic number, because the mean of its divisors is an integer number (974438195535).

Almost surely, 240108640283264 is an apocalyptic number.

It is an amenable number.

40108640283264 is an abundant number, since it is smaller than the sum of its proper divisors (84619448745216).

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

40108640283264 is a wasteful number, since it uses less digits than its factorization.

40108640283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363935898 (or 363935886 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 40108640283264 in words is "forty trillion, one hundred eight billion, six hundred forty million, two hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1148 1312 1344 1722 1968 2296 2624 2688 3444 3936 4592 5248 6888 7872 9184 13776 15744 18368 27552 36736 55104 110208 363935833 727871666 1091807499 1455743332 2183614998 2547550831 2911486664 4367229996 5095101662 5822973328 7642652493 8734459992 10190203324 11645946656 14921369153 15285304986 17468919984 20380406648 23291893312 29842738306 30570609972 34937839968 40760813296 44764107459 46583786624 59685476612 61141219944 69875679936 81521626592 89528214918 104449584071 119370953224 122282439888 139751359872 163043253184 179056429836 208899168142 238741906448 244564879776 313348752213 326086506368 358112859672 417798336284 477483812896 489129759552 626697504426 716225719344 835596672568 954967625792 978259519104 1253395008852 1432451438688 1671193345136 1909935251584 2506790017704 2864902877376 3342386690272 5013580035408 5729805754752 6684773380544 10027160070816 13369546761088 20054320141632 40108640283264