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14350445300 = 22521972293181
BaseRepresentation
bin11010101110101101…
…00110101011110100
31101001002220011011002
431113112212223310
5213342203222200
610331551502432
71015421525642
oct152726465364
941032804132
1014350445300
1160a44a7a54
122945b27a18
1314790bc969
149a1c5c192
1558eca8bd5
hex3575a6af4

14350445300 has 72 divisors (see below), whose sum is σ = 31445096760. Its totient is φ = 5684313600.

The previous prime is 14350445293. The next prime is 14350445309. The reversal of 14350445300 is 354405341.

It can be written as a sum of positive squares in 12 ways, for example, as 608510224 + 13741935076 = 24668^2 + 117226^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14350445309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4509710 + ... + 4512890.

It is an arithmetic number, because the mean of its divisors is an integer number (436737455).

Almost surely, 214350445300 is an apocalyptic number.

14350445300 is a gapful number since it is divisible by the number (10) 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 14350445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722548380).

14350445300 is an abundant number, since it is smaller than the sum of its proper divisors (17094651460).

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

14350445300 is a wasteful number, since it uses less digits than its factorization.

14350445300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 14350445300 in words is "fourteen billion, three hundred fifty million, four hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 229 394 458 788 916 985 1145 1970 2290 3181 3940 4580 4925 5725 6362 9850 11450 12724 15905 19700 22900 31810 45113 63620 79525 90226 159050 180452 225565 318100 451130 626657 728449 902260 1127825 1253314 1456898 2255650 2506628 2913796 3133285 3642245 4511300 6266570 7284490 12533140 14568980 15666425 18211225 31332850 36422450 62665700 72844900 143504453 287008906 574017812 717522265 1435044530 2870089060 3587611325 7175222650 14350445300