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14234010010110 = 23351114713258053
BaseRepresentation
bin1100111100100001110100…
…0111000100000111111110
31212101202110122001011101000
43033020131013010013332
53331202223030310420
650135003001431130
72666242015541022
oct317103507040776
955352418034330
1014234010010110
114598678630860
12171a79119b4a6
137c3352352c57
14372d03396382
1519a3d504c690
hexcf21d1c41fe

14234010010110 has 128 divisors (see below), whose sum is σ = 41436191416320. Its totient is φ = 3448322236800.

The previous prime is 14234010010069. The next prime is 14234010010111. The reversal of 14234010010110 is 1101001043241.

14234010010110 is a `hidden beast` number, since 1 + 423 + 40 + 100 + 101 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14234010010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2739844 + ... + 5997896.

It is an arithmetic number, because the mean of its divisors is an integer number (323720245440).

Almost surely, 214234010010110 is an apocalyptic number.

14234010010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14234010010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718095708160).

14234010010110 is an abundant number, since it is smaller than the sum of its proper divisors (27202181406210).

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

14234010010110 is a wasteful number, since it uses less digits than its factorization.

14234010010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259551 (or 3259545 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14234010010110 its reverse (1101001043241), we get a palindrome (15335011053351).

The spelling of 14234010010110 in words is "fourteen trillion, two hundred thirty-four billion, ten million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1471 1485 2942 2970 4413 7355 8826 13239 14710 16181 22065 26478 32362 39717 44130 48543 66195 79434 80905 97086 132390 145629 161810 198585 242715 291258 397170 436887 485430 728145 873774 1456290 2184435 3258053 4368870 6516106 9774159 16290265 19548318 29322477 32580530 35838583 48870795 58644954 71677166 87967431 97741590 107515749 146612385 175934862 179192915 215031498 293224770 322547247 358385830 439837155 537578745 645094494 879674310 967641741 1075157490 1612736235 1935283482 3225472470 4792595963 4838208705 9585191926 9676417410 14377787889 23962979815 28755575778 43133363667 47925959630 52718555593 71888939445 86266727334 105437111186 129400091001 143777878890 158155666779 215666818335 258800182002 263592777965 316311333558 431333636670 474467000337 527185555930 647000455005 790778333895 948934000674 1294000910010 1423401001011 1581556667790 2372335001685 2846802002022 4744670003370 7117005005055 14234010010110