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40159080810 = 23252923366037
BaseRepresentation
bin100101011001101010…
…101111000101101010
310211122202101200100100
4211121222233011222
51124221211041220
630240540250230
72621115361152
oct453152570552
9124582350310
1040159080810
1116038832892
127949240976
133a30010814
141d2d77b762
1510a095bd90
hex959aaf16a

40159080810 has 96 divisors (see below), whose sum is σ = 108479301840. Its totient is φ = 10295276544.

The previous prime is 40159080799. The next prime is 40159080811. The reversal of 40159080810 is 1808095104.

It can be written as a sum of positive squares in 8 ways, for example, as 20988186129 + 19170894681 = 144873^2 + 138459^2 .

It is a super-2 number, since 2×401590808102 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40159080811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575112 + ... + 641148.

Almost surely, 240159080810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40159080810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54239650920).

40159080810 is an abundant number, since it is smaller than the sum of its proper divisors (68320221030).

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

40159080810 is a wasteful number, since it uses less digits than its factorization.

40159080810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66312 (or 66309 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 40159080810 in words is "forty billion, one hundred fifty-nine million, eighty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 233 261 290 435 466 522 699 870 1165 1305 1398 2097 2330 2610 3495 4194 6757 6990 10485 13514 20271 20970 33785 40542 60813 66037 67570 101355 121626 132074 198111 202710 304065 330185 396222 594333 608130 660370 990555 1188666 1915073 1981110 2971665 3830146 5745219 5943330 9575365 11490438 15386621 17235657 19150730 28726095 30773242 34471314 46159863 57452190 76933105 86178285 92319726 138479589 153866210 172356570 230799315 276959178 446212009 461598630 692397945 892424018 1338636027 1384795890 2231060045 2677272054 4015908081 4462120090 6693180135 8031816162 13386360270 20079540405 40159080810