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34201420323030 = 23251674335255297
BaseRepresentation
bin1111100011011001000111…
…00000100101100011010110
311111002121211210021000211100
413301230203200211203112
513440324002100314110
6200423525433450530
710126654036034652
oct761544340454326
9144077753230740
1034201420323030
11a996817163604
123a0456a570a46
13161124589ca7c
1486350128da62
153e49cdc64bc0
hex1f1b238258d6

34201420323030 has 96 divisors (see below), whose sum is σ = 89662783339584. Its totient is φ = 9044826882048.

The previous prime is 34201420323001. The next prime is 34201420323047. The reversal of 34201420323030 is 3032302410243.

34201420323030 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 1 + 420 + 3 + 230 + 3 + 0 = 666.

It is a super-2 number, since 2×342014203230302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34201420322985 and 34201420323003.

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, 3880342 + ... + 9135638.

It is an arithmetic number, because the mean of its divisors is an integer number (933987326454).

Almost surely, 234201420323030 is an apocalyptic number.

34201420323030 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 34201420323030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44831391669792).

34201420323030 is an abundant number, since it is smaller than the sum of its proper divisors (55461363016554).

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

34201420323030 is a wasteful number, since it uses less digits than its factorization.

34201420323030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255910 (or 5255907 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34201420323030 its reverse (3032302410243), we get a palindrome (37233722733273).

The spelling of 34201420323030 in words is "thirty-four trillion, two hundred one billion, four hundred twenty million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 433 501 835 866 1002 1299 1503 1670 2165 2505 2598 3006 3897 4330 5010 6495 7515 7794 12990 15030 19485 38970 72311 144622 216933 361555 433866 650799 723110 1084665 1301598 2169330 3253995 5255297 6507990 10510594 15765891 26276485 31531782 47297673 52552970 78829455 94595346 157658910 236488365 472976730 877634599 1755269198 2275543601 2632903797 4388172995 4551087202 5265807594 6826630803 7898711391 8776345990 11377718005 13164518985 13653261606 15797422782 20479892409 22755436010 26329037970 34133154015 39493556955 40959784818 68266308030 78987113910 102399462045 204798924090 380015781367 760031562734 1140047344101 1900078906835 2280094688202 3420142032303 3800157813670 5700236720505 6840284064606 11400473441010 17100710161515 34201420323030