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14220251136 = 21235713157
BaseRepresentation
bin11010011111001011…
…11101000000000000
31100201000220121100000
431033211331000000
5213110341014021
610311021200000
71012251066060
oct151745750000
940630817300
1014220251136
116037a63173
12290a400000
1314581369b0
1498c84b3a0
1558363cb26
hex34f97d000

14220251136 has 624 divisors, whose sum is σ = 52761048704. Its totient is φ = 3726508032.

The previous prime is 14220251099. The next prime is 14220251159. The reversal of 14220251136 is 63115202241.

14220251136 is a `hidden beast` number, since 142 + 2 + 0 + 2 + 511 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90574770 + ... + 90574926.

Almost surely, 214220251136 is an apocalyptic number.

14220251136 is a gapful number since it is divisible by the number (16) 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 14220251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26380524352).

14220251136 is an abundant number, since it is smaller than the sum of its proper divisors (38540797568).

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

14220251136 is an equidigital number, since it uses as much as digits as its factorization.

14220251136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14220251136 its reverse (63115202241), we get a palindrome (77335453377).

It can be divided in two parts, 14220 and 251136, that added together give a triangular number (265356 = T728).

The spelling of 14220251136 in words is "fourteen billion, two hundred twenty million, two hundred fifty-one thousand, one hundred thirty-six".