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14211356508 = 223219109319009
BaseRepresentation
bin11010011110001000…
…00001011101011100
31100200102011201012100
431033010001131130
5213101101402013
610310102405100
71012112352156
oct151704013534
940612151170
1014211356508
116032a38538
122907430790
1314563412bb
1498b5b3ad6
15582982473
hex34f10175c

14211356508 has 72 divisors (see below), whose sum is σ = 37850430800. Its totient is φ = 4483454976.

The previous prime is 14211356501. The next prime is 14211356513. The reversal of 14211356508 is 80565311241.

14211356508 is a `hidden beast` number, since 14 + 2 + 1 + 135 + 6 + 508 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14211356501) 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, 738108 + ... + 757116.

Almost surely, 214211356508 is an apocalyptic number.

14211356508 is a gapful number since it is divisible by the number (18) 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 14211356508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925215400).

14211356508 is an abundant number, since it is smaller than the sum of its proper divisors (23639074292).

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

14211356508 is a wasteful number, since it uses less digits than its factorization.

14211356508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20131 (or 20126 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 14211356508 its reverse (80565311241), we get a palindrome (94776667749).

The spelling of 14211356508 in words is "fourteen billion, two hundred eleven million, three hundred fifty-six thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1093 2186 3279 4372 6558 9837 13116 19009 19674 20767 38018 39348 41534 57027 62301 76036 83068 114054 124602 171081 186903 228108 249204 342162 361171 373806 684324 722342 747612 1083513 1444684 2167026 3250539 4334052 6501078 13002156 20776837 41553674 62330511 83107348 124661022 186991533 249322044 373983066 394759903 747966132 789519806 1184279709 1579039612 2368559418 3552839127 4737118836 7105678254 14211356508