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14141015330 = 25135371137211
BaseRepresentation
bin11010010101101111…
…01100010100100010
31100111111211000020112
431022313230110202
5212430044442310
610255111011322
71010266434641
oct151267542442
940444730215
1014141015330
115aa7264132
1228a7969b42
1314448b33c0
14982103358
1557b6da705
hex34adec522

14141015330 has 128 divisors (see below), whose sum is σ = 28664326656. Its totient is φ = 4990003200.

The previous prime is 14141015323. The next prime is 14141015381. The reversal of 14141015330 is 3351014141.

It is a happy number.

14141015330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14141015296 and 14141015305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67018925 + ... + 67019135.

It is an arithmetic number, because the mean of its divisors is an integer number (223940052).

Almost surely, 214141015330 is an apocalyptic number.

14141015330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14141015330 is an abundant number, since it is smaller than the sum of its proper divisors (14523311326).

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

14141015330 is a wasteful number, since it uses less digits than its factorization.

14141015330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 14141015330 its reverse (3351014141), we get a palindrome (17492029471).

The spelling of 14141015330 in words is "fourteen billion, one hundred forty-one million, fifteen thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 53 65 71 106 130 137 142 211 265 274 355 422 530 685 689 710 923 1055 1370 1378 1781 1846 2110 2743 3445 3562 3763 4615 5486 6890 7261 7526 8905 9230 9727 11183 13715 14522 14981 17810 18815 19454 22366 27430 28907 29962 36305 37630 48635 48919 55915 57814 72610 74905 94393 97270 97838 111830 126451 144535 145379 149810 188786 194753 244595 252902 289070 290758 375791 389506 471965 489190 515531 632255 726895 751582 793993 943930 973765 1031062 1264510 1453790 1532071 1587986 1878955 1947530 2052397 2577655 3064142 3757910 3969965 4104794 5155310 6701903 7660355 7939930 10261985 10321909 13403806 15320710 19916923 20523970 20643818 26681161 33509515 39833846 51609545 53362322 67019030 99584615 103219090 108777041 133405805 199169230 217554082 266811610 543885205 1087770410 1414101533 2828203066 7070507665 14141015330