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40140114041144 = 23133122111903441
BaseRepresentation
bin10010010000001110110010…
…01111010001100100111000
312021010100122120012210002202
421020013121033101210320
520230123423143304034
6221212040330245332
711312012305535345
oct1110073117214470
9167110576183082
1040140114041144
1111876365a1aa97
12460350ab86848
131952272978310
149cab12d117cc
1549920a96847e
hex2481d93d1938

40140114041144 has 96 divisors (see below), whose sum is σ = 84148049175120. Its totient is φ = 17843607936000.

The previous prime is 40140114041081. The next prime is 40140114041161. The reversal of 40140114041144 is 44114041104104.

It is a super-2 number, since 2×401401140411442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20136464 + ... + 22039904.

Almost surely, 240140114041144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40140114041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42074024587560).

40140114041144 is an abundant number, since it is smaller than the sum of its proper divisors (44007935133976).

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

40140114041144 is a wasteful number, since it uses less digits than its factorization.

40140114041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903733 (or 1903698 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 40140114041144 its reverse (44114041104104), we get a palindrome (84254155145248).

The spelling of 40140114041144 in words is "forty trillion, one hundred forty billion, one hundred fourteen million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 211 248 403 422 806 844 961 1612 1688 1922 2743 3224 3844 5486 6541 7688 10972 12493 13082 21944 24986 26164 49972 52328 85033 99944 170066 202771 340132 405542 680264 811084 1622168 1903441 2636023 3806882 5272046 7613764 10544092 15227528 21088184 24744733 49489466 59006671 98978932 118013342 197957864 236026684 401626051 472053368 767086723 803252102 1534173446 1606504204 1829206801 3068346892 3213008408 3658413602 5221138663 6136693784 7316827204 10442277326 12450407581 14633654408 20884554652 23779688413 24900815162 41769109304 47559376826 49801630324 95118753652 99603260648 161855298553 190237507304 323710597106 385962635011 647421194212 771925270022 1294842388424 1543850540044 3087701080088 5017514255143 10035028510286 20070057020572 40140114041144