Search a number
-
+
14165403100 = 2252792576977
BaseRepresentation
bin11010011000101001…
…01110010111011100
31100120012201000222021
431030110232113130
5213002320344400
610301341425524
71011013640212
oct151424562734
940505630867
1014165403100
11600a001012
1228b3b6b2a4
131449971a34
14985450cb2
1557d90671a
hex34c52e5dc

14165403100 has 72 divisors (see below), whose sum is σ = 31253624640. Its totient is φ = 5571870720.

The previous prime is 14165403071. The next prime is 14165403107. The reversal of 14165403100 is 130456141.

It is a super-2 number, since 2×141654031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14165403107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026812 + ... + 2033788.

It is an arithmetic number, because the mean of its divisors is an integer number (434078120).

Almost surely, 214165403100 is an apocalyptic number.

14165403100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14165403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626812320).

14165403100 is an abundant number, since it is smaller than the sum of its proper divisors (17088221540).

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

14165403100 is a wasteful number, since it uses less digits than its factorization.

14165403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 14165403100 its reverse (130456141), we get a palindrome (14295859241).

The spelling of 14165403100 in words is "fourteen billion, one hundred sixty-five million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 257 316 395 514 790 1028 1285 1580 1975 2570 3950 5140 6425 6977 7900 12850 13954 20303 25700 27908 34885 40606 69770 81212 101515 139540 174425 203030 348850 406060 507575 551183 697700 1015150 1102366 1793089 2030300 2204732 2755915 3586178 5511830 7172356 8965445 11023660 13779575 17930890 27559150 35861780 44827225 55118300 89654450 141654031 179308900 283308062 566616124 708270155 1416540310 2833080620 3541350775 7082701550 14165403100