Search a number
-
+
15140050400 = 2552171113239
BaseRepresentation
bin11100001100110101…
…01101010111100000
31110002010200020201102
432012122231113200
5222001323103100
610542155453532
71044120206426
oct160632552740
943063606642
1015140050400
11646a188a52
122b264572a8
131573873307
14a38a7d116
155d927acd5
hex3866ad5e0

15140050400 has 72 divisors (see below), whose sum is σ = 39134838960. Its totient is φ = 5699778560.

The previous prime is 15140050397. The next prime is 15140050427. The reversal of 15140050400 is 405004151.

15140050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151400504002 (a number of 21 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543020 + ... + 570219.

It is an arithmetic number, because the mean of its divisors is an integer number (543539430).

Almost surely, 215140050400 is an apocalyptic number.

15140050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15140050400 is an abundant number, since it is smaller than the sum of its proper divisors (23994788560).

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

15140050400 is a wasteful number, since it uses less digits than its factorization.

15140050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113276 (or 1113263 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 15140050400 its reverse (405004151), we get a palindrome (15545054551).

The spelling of 15140050400 in words is "fifteen billion, one hundred forty million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 1113239 2226478 4452956 5566195 8905912 11132390 17811824 18925063 22264780 27830975 35623648 37850126 44529560 55661950 75700252 89059120 94625315 111323900 151400504 178118240 189250630 222647800 302801008 378501260 445295600 473126575 605602016 757002520 890591200 946253150 1514005040 1892506300 3028010080 3785012600 7570025200 15140050400