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14104513350 = 2325240178163
BaseRepresentation
bin11010010001011000…
…11100101101000110
31100101222010111221100
431020230130231012
5212341223411400
610251324400530
71006344246114
oct151054345506
940358114840
1014104513350
115a886a2704
1228976a6146
13143a172ab5
1497b320ab4
155783ca100
hex348b1cb46

14104513350 has 72 divisors (see below), whose sum is σ = 37989110952. Its totient is φ = 3751776000.

The previous prime is 14104513349. The next prime is 14104513351. The reversal of 14104513350 is 5331540141.

It is a happy number.

14104513350 is a `hidden beast` number, since 14 + 104 + 513 + 35 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14104513349) and next prime (14104513351).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104513351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141369 + ... + 219531.

It is an arithmetic number, because the mean of its divisors is an integer number (527626541).

Almost surely, 214104513350 is an apocalyptic number.

14104513350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14104513350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994555476).

14104513350 is an abundant number, since it is smaller than the sum of its proper divisors (23884597602).

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

14104513350 is a wasteful number, since it uses less digits than its factorization.

14104513350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78582 (or 78574 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 14104513350 in words is "fourteen billion, one hundred four million, five hundred thirteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 401 450 802 1203 2005 2406 3609 4010 6015 7218 10025 12030 18045 20050 30075 36090 60150 78163 90225 156326 180450 234489 390815 468978 703467 781630 1172445 1406934 1954075 2344890 3517335 3908150 5862225 7034670 11724450 17586675 31343363 35173350 62686726 94030089 156716815 188060178 282090267 313433630 470150445 564180534 783584075 940300890 1410451335 1567168150 2350752225 2820902670 4701504450 7052256675 14104513350