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13946229200 = 245253657841
BaseRepresentation
bin11001111110100001…
…01001000111010000
31022222221021211220102
430333100221013100
5212030213313300
610223512031532
71002412664231
oct147720510720
938887254812
1013946229200
115a07312462
1228526925a8
131413433337
149642bb088
155695610d5
hex33f4291d0

13946229200 has 60 divisors (see below), whose sum is σ = 34138052748. Its totient is φ = 5473228800.

The previous prime is 13946229169. The next prime is 13946229217. The reversal of 13946229200 is 292264931.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 170981776 + 13775247424 = 13076^2 + 117368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307721 + ... + 350120.

Almost surely, 213946229200 is an apocalyptic number.

13946229200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13946229200 is an abundant number, since it is smaller than the sum of its proper divisors (20191823548).

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

13946229200 is a wasteful number, since it uses less digits than its factorization.

13946229200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657912 (or 657901 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 13946229200 in words is "thirteen billion, nine hundred forty-six million, two hundred twenty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 657841 1315682 2631364 3289205 5262728 6578410 10525456 13156820 16446025 26313640 32892050 34865573 52627280 65784100 69731146 131568200 139462292 174327865 263136400 278924584 348655730 557849168 697311460 871639325 1394622920 1743278650 2789245840 3486557300 6973114600 13946229200