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14410224341430 = 23553131269925633
BaseRepresentation
bin1101000110110010010001…
…0011011001000110110110
31220000121022022101200110120
43101230210103121012312
53342044114412411210
650351544330232410
73015050535621141
oct321544423310666
956017268350416
1014410224341430
114656383a70035
12174896ab85706
13806b558aa258
1437b65c4b1058
1519ec9a21b270
hexd1b244d91b6

14410224341430 has 128 divisors (see below), whose sum is σ = 35520603148800. Its totient is φ = 3739909754880.

The previous prime is 14410224341411. The next prime is 14410224341551. The reversal of 14410224341430 is 3414342201441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14410224341391 and 14410224341400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562161894 + ... + 562187526.

It is an arithmetic number, because the mean of its divisors is an integer number (277504712100).

Almost surely, 214410224341430 is an apocalyptic number.

14410224341430 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 14410224341430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760301574400).

14410224341430 is an abundant number, since it is smaller than the sum of its proper divisors (21110378807370).

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

14410224341430 is a wasteful number, since it uses less digits than its factorization.

14410224341430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28526.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14410224341430 its reverse (3414342201441), we get a palindrome (17824566542871).

The spelling of 14410224341430 in words is "fourteen trillion, four hundred ten billion, two hundred twenty-four million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 131 159 262 265 318 393 530 655 786 795 1310 1590 1965 2699 3930 5398 6943 8097 13495 13886 16194 20829 25633 26990 34715 40485 41658 51266 69430 76899 80970 104145 128165 143047 153798 208290 256330 286094 353569 384495 429141 707138 715235 768990 858282 1060707 1358549 1430470 1767845 2121414 2145705 2717098 3357923 3535690 4075647 4291410 5303535 6715846 6792745 8151294 10073769 10607070 13585490 16789615 18739157 20147538 20378235 33579230 37478314 40756470 50368845 56217471 69183467 93695785 100737690 112434942 138366934 177969919 187391570 207550401 281087355 345917335 355939838 415100802 533909757 562174710 691834670 889849595 1037752005 1067819514 1779699190 2075504010 2669548785 3666723751 5339097570 7333447502 9063034177 11000171253 18126068354 18333618755 22000342506 27189102531 36667237510 45315170885 54378205062 55000856265 90630341770 110001712530 135945512655 271891025310 480340811381 960681622762 1441022434143 2401704056905 2882044868286 4803408113810 7205112170715 14410224341430