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314413030350 = 23452223934673
BaseRepresentation
bin1001001001101000111…
…10100001101111001110
31010001112222120211110000
410210310132201233032
520122404213432400
6400234522225130
731500306443106
oct4446436415716
91101488524400
10314413030350
11111383a60331
1250b283551a6
1323858b92033
1411309412206
1582a2bcb600
hex49347a1bce

314413030350 has 120 divisors (see below), whose sum is σ = 874017809280. Its totient is φ = 83803610880.

The previous prime is 314413030343. The next prime is 314413030361. The reversal of 314413030350 is 53030314413.

314413030350 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 1 + 303 + 0 + 350 = 666.

314413030350 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3144130303502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9050614 + ... + 9085286.

It is an arithmetic number, because the mean of its divisors is an integer number (7283481744).

Almost surely, 2314413030350 is an apocalyptic number.

314413030350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314413030350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437008904640).

314413030350 is an abundant number, since it is smaller than the sum of its proper divisors (559604778930).

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

314413030350 is a wasteful number, since it uses less digits than its factorization.

314413030350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36936 (or 36922 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 314413030350 its reverse (53030314413), we get a palindrome (367443344763).

The spelling of 314413030350 in words is "three hundred fourteen billion, four hundred thirteen million, thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 2239 4050 4478 6717 11195 13434 20151 22390 33585 34673 40302 55975 60453 67170 69346 100755 104019 111950 120906 167925 173365 181359 201510 208038 302265 312057 335850 346730 362718 503775 520095 604530 624114 866825 906795 936171 1007550 1040190 1511325 1560285 1733650 1813590 1872342 2600475 2808513 3022650 3120570 4533975 4680855 5200950 5617026 7801425 9067950 9361710 14042565 15602850 23404275 28085130 46808550 70212825 77632847 140425650 155265694 232898541 388164235 465797082 698695623 776328470 1164492705 1397391246 1940821175 2096086869 2328985410 3493478115 3881642350 4192173738 5822463525 6288260607 6986956230 10480434345 11644927050 12576521214 17467390575 20960868690 31441303035 34934781150 52402171725 62882606070 104804343450 157206515175 314413030350