Search a number
-
+
30143203040 = 255533839281
BaseRepresentation
bin11100000100101011…
…001100011011100000
32212210201202101000102
4130010223030123200
5443213124444130
621503025241532
72114655666266
oct340453143340
985721671012
1030143203040
1111869063655
125a12a932a8
132ac4c54322
14165d484436
15bb64b4645
hex704acc6e0

30143203040 has 96 divisors (see below), whose sum is σ = 72754246656. Its totient is φ = 11797626880.

The previous prime is 30143203033. The next prime is 30143203061. The reversal of 30143203040 is 4030234103.

It is a super-2 number, since 2×301432030402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3243200 + ... + 3252480.

It is an arithmetic number, because the mean of its divisors is an integer number (757856736).

Almost surely, 230143203040 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 30143203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36377123328).

30143203040 is an abundant number, since it is smaller than the sum of its proper divisors (42611043616).

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

30143203040 is a wasteful number, since it uses less digits than its factorization.

30143203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30143203040 its reverse (4030234103), we get a palindrome (34173437143).

The spelling of 30143203040 in words is "thirty billion, one hundred forty-three million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 383 424 530 766 848 1060 1532 1696 1915 2120 3064 3830 4240 6128 7660 8480 9281 12256 15320 18562 20299 30640 37124 40598 46405 61280 74248 81196 92810 101495 148496 162392 185620 202990 296992 324784 371240 405980 491893 649568 742480 811960 983786 1484960 1623920 1967572 2459465 3247840 3554623 3935144 4918930 7109246 7870288 9837860 14218492 15740576 17773115 19675720 28436984 35546230 39351440 56873968 71092460 78702880 113747936 142184920 188395019 284369840 376790038 568739680 753580076 941975095 1507160152 1883950190 3014320304 3767900380 6028640608 7535800760 15071601520 30143203040