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14246134452 = 223211337106751
BaseRepresentation
bin11010100010010001…
…01100001010110100
31100202211121121120100
431101020230022310
5213134002300302
610313344034100
71013014100454
oct152110541264
940684547510
1014246134452
116050631740
122917002930
1314605c9c74
14992067d64
15585a51d1c
hex35122c2b4

14246134452 has 72 divisors (see below), whose sum is σ = 39401736192. Its totient is φ = 4304160000.

The previous prime is 14246134447. The next prime is 14246134489. The reversal of 14246134452 is 25443164241.

14246134452 is a `hidden beast` number, since 14 + 24 + 613 + 4 + 4 + 5 + 2 = 666.

It is a super-2 number, since 2×142461344522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80077 + ... + 186827.

It is an arithmetic number, because the mean of its divisors is an integer number (547246336).

Almost surely, 214246134452 is an apocalyptic number.

14246134452 is a gapful number since it is divisible by the number (12) 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 14246134452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19700868096).

14246134452 is an abundant number, since it is smaller than the sum of its proper divisors (25155601740).

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

14246134452 is a wasteful number, since it uses less digits than its factorization.

14246134452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107109 (or 107104 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 14246134452 its reverse (25443164241), we get a palindrome (39689298693).

The spelling of 14246134452 in words is "fourteen billion, two hundred forty-six million, one hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 337 396 674 1011 1348 2022 3033 3707 4044 6066 7414 11121 12132 14828 22242 33363 44484 66726 106751 133452 213502 320253 427004 640506 960759 1174261 1281012 1921518 2348522 3522783 3843036 4697044 7045566 10568349 14091132 21136698 35975087 42273396 71950174 107925261 143900348 215850522 323775783 395725957 431701044 647551566 791451914 1187177871 1295103132 1582903828 2374355742 3561533613 4748711484 7123067226 14246134452