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34210123430413 = 71721931137209567
BaseRepresentation
bin1111100011101001010100…
…10000010011101000001101
311111010110022022200200201211
413301310222100103220031
513440444313044233123
6200431525211334421
710130412515160610
oct761645220235015
9144113268620654
1034210123430413
11a99a482902a37
123a06199151411
13161200199c758
14863ac90a0177
153e4d3cd4840d
hex1f1d2a413a0d

34210123430413 has 96 divisors (see below), whose sum is σ = 45458216386560. Its totient is φ = 25117340129280.

The previous prime is 34210123430393. The next prime is 34210123430423. The reversal of 34210123430413 is 31403432101243.

It is a de Polignac number, because none of the positive numbers 2k-34210123430413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34210123430423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163137156 + ... + 163346722.

It is an arithmetic number, because the mean of its divisors is an integer number (473523087360).

Almost surely, 234210123430413 is an apocalyptic number.

It is an amenable number.

34210123430413 is a deficient number, since it is larger than the sum of its proper divisors (11248092956147).

34210123430413 is a wasteful number, since it uses less digits than its factorization.

34210123430413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209795 (or 209778 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 34210123430413 its reverse (31403432101243), we get a palindrome (65613555531656).

The spelling of 34210123430413 in words is "thirty-four trillion, two hundred ten billion, one hundred twenty-three million, four hundred thirty thousand, four hundred thirteen".

Divisors: 1 7 17 19 31 119 133 137 217 289 323 527 589 959 2023 2261 2329 2603 3689 4123 4247 5491 8959 10013 16303 18221 29729 38437 39593 44251 62713 70091 72199 80693 170221 209567 277151 309757 505393 564851 752267 1191547 1227383 1371781 1466969 3562639 3981773 5265869 6496577 8591681 9602467 23320277 24938473 27872411 28710679 45476039 60564863 67690141 110441809 123434963 163241939 200974753 423954041 473830987 488081543 545502901 773092663 864044741 890031049 1150732397 1877510753 2098394371 3416570801 3818520307 6230217343 8055126779 8297386231 9273549317 13142575271 14688760597 15130527833 16910589931 35672704307 58081703617 64914845219 105913694831 118374129517 157650338389 249708930149 257218973161 287480028827 1103552368723 1800532812127 2012360201789 4887160490059 34210123430413