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14133402324 = 22323129343223
BaseRepresentation
bin11010010100110101…
…01001101011010100
31100110222111020011100
431022122221223110
5212421122333244
610254235510100
71010144636406
oct151232515324
940428436140
1014133402324
115aa2a34398
1228a52b8330
131443149172
149810c0b76
1557abd4b69
hex34a6a9ad4

14133402324 has 72 divisors (see below), whose sum is σ = 37005276672. Its totient is φ = 4543496640.

The previous prime is 14133402313. The next prime is 14133402331. The reversal of 14133402324 is 42320433141.

14133402324 is a `hidden beast` number, since 1 + 4 + 1 + 334 + 0 + 2 + 324 = 666.

14133402324 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 2×141334023242 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 305377 + ... + 348599.

It is an arithmetic number, because the mean of its divisors is an integer number (513962176).

Almost surely, 214133402324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14133402324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502638336).

14133402324 is an abundant number, since it is smaller than the sum of its proper divisors (22871874348).

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

14133402324 is a wasteful number, since it uses less digits than its factorization.

14133402324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43557 (or 43552 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14133402324 its reverse (42320433141), we get a palindrome (56453835465).

The spelling of 14133402324 in words is "fourteen billion, one hundred thirty-three million, four hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 293 372 558 586 879 1116 1172 1758 2637 3516 5274 9083 10548 18166 27249 36332 43223 54498 81747 86446 108996 129669 163494 172892 259338 326988 389007 518676 778014 1339913 1556028 2679826 4019739 5359652 8039478 12059217 12664339 16078956 24118434 25328678 37993017 48236868 50657356 75986034 113979051 151972068 227958102 392594509 455916204 785189018 1177783527 1570378036 2355567054 3533350581 4711134108 7066701162 14133402324