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14153004430 = 25193141103569
BaseRepresentation
bin11010010111001010…
…11011010110001110
31100112100101010012021
431023211123112032
5212441132120210
610300220000354
71010503360405
oct151345332616
940470333167
1014153004430
116003002784
1228ab9900ba
131447220446
1498394463c
1557c7a7bda
hex34b95b58e

14153004430 has 128 divisors (see below), whose sum is σ = 28682035200. Its totient is φ = 5005670400.

The previous prime is 14153004427. The next prime is 14153004431. The reversal of 14153004430 is 3440035141.

It is a junction number, because it is equal to n+sod(n) for n = 14153004395 and 14153004404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14153004431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24873186 + ... + 24873754.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 214153004430 is an apocalyptic number.

14153004430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14153004430 is an abundant number, since it is smaller than the sum of its proper divisors (14529030770).

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

14153004430 is a wasteful number, since it uses less digits than its factorization.

14153004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14153004430 its reverse (3440035141), we get a palindrome (17593039571).

The spelling of 14153004430 in words is "fourteen billion, one hundred fifty-three million, four thousand, four hundred thirty".

Divisors: 1 2 5 10 19 31 38 41 62 82 95 103 155 190 205 206 310 410 515 569 589 779 1030 1138 1178 1271 1558 1957 2542 2845 2945 3193 3895 3914 4223 5690 5890 6355 6386 7790 8446 9785 10811 12710 15965 17639 19570 21115 21622 23329 24149 31930 35278 42230 46658 48298 54055 58607 60667 80237 88195 108110 116645 117214 120745 121334 130913 160474 176390 233290 241490 261826 293035 303335 335141 401185 443251 586070 606670 654565 670282 723199 802370 886502 1113533 1309130 1446398 1675705 1816817 2216255 2227066 2402887 2487347 3351410 3615995 3633634 4432510 4805774 4974694 5567665 7231990 9084085 11135330 12014435 12436735 13740781 18168170 24028870 24873470 27481562 34519523 45654853 68703905 69039046 74489497 91309706 137407810 148978994 172597615 228274265 345195230 372447485 456548530 744894970 1415300443 2830600886 7076502215 14153004430