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4314313442430 = 23251092271937389
BaseRepresentation
bin111110110010000001000…
…111101100010001111110
3120021102222220212221102200
4332302001013230101332
51031141203220124210
613101545045532330
7623461465121355
oct76620107542176
916242886787380
104314313442430
111413765512032
12598186a140a6
13253ab815c6b4
1410cb5742a99c
157735a0640c0
hex3ec811ec47e

4314313442430 has 96 divisors (see below), whose sum is σ = 11369999440800. Its totient is φ = 1134906391296.

The previous prime is 4314313442389. The next prime is 4314313442471. The reversal of 4314313442430 is 342443134134.

4314313442430 is a `hidden beast` number, since 4 + 31 + 43 + 1 + 344 + 243 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4314313442389) and next prime (4314313442471).

It is a super-2 number, since 2×43143134424302 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258176 + ... + 3195564.

It is an arithmetic number, because the mean of its divisors is an integer number (118437494175).

Almost surely, 24314313442430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314313442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684999720400).

4314313442430 is an abundant number, since it is smaller than the sum of its proper divisors (7055685998370).

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

4314313442430 is a wasteful number, since it uses less digits than its factorization.

4314313442430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937738 (or 1937735 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4314313442430 its reverse (342443134134), we get a palindrome (4656756576564).

The spelling of 4314313442430 in words is "four trillion, three hundred fourteen billion, three hundred thirteen million, four hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 227 327 454 545 654 681 981 1090 1135 1362 1635 1962 2043 2270 3270 3405 4086 4905 6810 9810 10215 20430 24743 49486 74229 123715 148458 222687 247430 371145 445374 742290 1113435 1937389 2226870 3874778 5812167 9686945 11624334 17436501 19373890 29060835 34873002 58121670 87182505 174365010 211175401 422350802 439787303 633526203 879574606 1055877005 1267052406 1319361909 1900578609 2111754010 2198936515 2638723818 3167631015 3801157218 3958085727 4397873030 6335262030 6596809545 7916171454 9502893045 13193619090 19005786090 19790428635 39580857270 47936816027 95873632054 143810448081 239684080135 287620896162 431431344243 479368160270 719052240405 862862688486 1438104480810 2157156721215 4314313442430