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14111034401430 = 23251816411351387
BaseRepresentation
bin1100110101010111101100…
…1100010110001010010110
31211222000001020201222010200
43031111323030112022112
53322143344301321210
650002304131401330
72654326405241451
oct315257314261226
954860036658120
1014111034401430
11455050205590a
1216ba990a53246
137b48848444b5
1436ad98b96498
151970d8c200c0
hexcd57b316296

14111034401430 has 96 divisors (see below), whose sum is σ = 36948969596448. Its totient is φ = 3736312012800.

The previous prime is 14111034401417. The next prime is 14111034401479. The reversal of 14111034401430 is 3410443011141.

14111034401430 is a `hidden beast` number, since 1 + 411 + 103 + 4 + 4 + 0 + 143 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14111034401394 and 14111034401403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9766197 + ... + 11117583.

It is an arithmetic number, because the mean of its divisors is an integer number (384885099963).

Almost surely, 214111034401430 is an apocalyptic number.

14111034401430 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 14111034401430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474484798224).

14111034401430 is an abundant number, since it is smaller than the sum of its proper divisors (22837935195018).

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

14111034401430 is a wasteful number, since it uses less digits than its factorization.

14111034401430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352222 (or 1352219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14111034401430 its reverse (3410443011141), we get a palindrome (17521477412571).

The spelling of 14111034401430 in words is "fourteen trillion, one hundred eleven billion, thirty-four million, four hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 641 905 1086 1282 1629 1810 1923 2715 3205 3258 3846 5430 5769 6410 8145 9615 11538 16290 19230 28845 57690 116021 232042 348063 580105 696126 1044189 1160210 1351387 1740315 2088378 2702774 3480630 4054161 5220945 6756935 8108322 10441890 12162483 13513870 20270805 24324966 40541610 60812415 121624830 244601047 489202094 733803141 866239067 1223005235 1467606282 1732478134 2201409423 2446010470 2598717201 3669015705 4331195335 4402818846 5197434402 7338031410 7796151603 8662390670 11007047115 12993586005 15592303206 22014094230 25987172010 38980758015 77961516030 156789271127 313578542254 470367813381 783946355635 940735626762 1411103440143 1567892711270 2351839066905 2822206880286 4703678133810 7055517200715 14111034401430