Search a number
-
+
15051402000 = 243253836189
BaseRepresentation
bin11100000010010001…
…00010101100010000
31102211221212102222100
432001020202230100
5221311124331000
610525311440400
71041662543325
oct160110425420
942757772870
1015051402000
116424140108
122b00826100
13155b3a563b
14a2ada4b4c
155d15b9a00
hex381222b10

15051402000 has 120 divisors (see below), whose sum is σ = 52569592920. Its totient is φ = 4013702400.

The previous prime is 15051401999. The next prime is 15051402017. The reversal of 15051402000 is 20415051.

15051402000 is a `hidden beast` number, since 1 + 505 + 140 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4627808784 + 10423593216 = 68028^2 + 102096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400095 + ... + 436094.

It is an arithmetic number, because the mean of its divisors is an integer number (438079941).

Almost surely, 215051402000 is an apocalyptic number.

15051402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15051402000 is an abundant number, since it is smaller than the sum of its proper divisors (37518190920).

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

15051402000 is a wasteful number, since it uses less digits than its factorization.

15051402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836218 (or 836199 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 15051402000 its reverse (20415051), we get a palindrome (15071817051).

The spelling of 15051402000 in words is "fifteen billion, fifty-one million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 836189 1672378 2508567 3344756 4180945 5017134 6689512 7525701 8361890 10034268 12542835 13379024 15051402 16723780 20068536 20904725 25085670 30102804 33447560 37628505 40137072 41809450 50171340 60205608 62714175 66895120 75257010 83618900 100342680 104523625 120411216 125428350 150514020 167237800 188142525 200685360 209047250 250856700 301028040 313570875 334475600 376285050 418094500 501713400 602056080 627141750 752570100 836189000 940712625 1003426800 1254283500 1505140200 1672378000 1881425250 2508567000 3010280400 3762850500 5017134000 7525701000 15051402000