Search a number
-
+
414030133140 = 223513530807863
BaseRepresentation
bin1100000011001100001…
…11100111011110010100
31110120200110201222110120
412001212013213132110
523240413203230030
6514111450351540
741625024031161
oct6014607473624
91416613658416
10414030133140
1114a653242058
12682a9a2b5b0
133007326a980
1416079681068
15ab834d0010
hex60661e7794

414030133140 has 48 divisors (see below), whose sum is σ = 1248460096128. Its totient is φ = 101915109504.

The previous prime is 414030133123. The next prime is 414030133177. The reversal of 414030133140 is 41331030414.

It is a super-2 number, since 2×4140301331402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414030133140.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 265403152 + ... + 265404711.

It is an arithmetic number, because the mean of its divisors is an integer number (26009585336).

Almost surely, 2414030133140 is an apocalyptic number.

It is an amenable number.

414030133140 is an abundant number, since it is smaller than the sum of its proper divisors (834429962988).

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

414030133140 is a wasteful number, since it uses less digits than its factorization.

414030133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530807888 (or 530807886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 414030133140 its reverse (41331030414), we get a palindrome (455361163554).

The spelling of 414030133140 in words is "four hundred fourteen billion, thirty million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 530807863 1061615726 1592423589 2123231452 2654039315 3184847178 5308078630 6369694356 6900502219 7962117945 10616157260 13801004438 15924235890 20701506657 27602008876 31848471780 34502511095 41403013314 69005022190 82806026628 103507533285 138010044380 207015066570 414030133140