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14440102830 = 2325417155117
BaseRepresentation
bin11010111001011001…
…00111101110101110
31101021100121020011100
431130230213232232
5214033131242310
610344513303530
71020560564106
oct153454475656
941240536140
1014440102830
116140074a8a
12296bb64ba6
131491851a5a
149adb1a206
15597ab8ec0
hex35cb27bae

14440102830 has 96 divisors (see below), whose sum is σ = 39002378688. Its totient is φ = 3703795200.

The previous prime is 14440102829. The next prime is 14440102837. The reversal of 14440102830 is 3820104441.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14440102794 and 14440102803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440102837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234432 + ... + 289548.

It is an arithmetic number, because the mean of its divisors is an integer number (406274778).

Almost surely, 214440102830 is an apocalyptic number.

14440102830 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 14440102830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19501189344).

14440102830 is an abundant number, since it is smaller than the sum of its proper divisors (24562275858).

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

14440102830 is a wasteful number, since it uses less digits than its factorization.

14440102830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55242 (or 55239 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14440102830 in words is "fourteen billion, four hundred forty million, one hundred two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 71 82 90 123 142 205 213 246 355 369 410 426 615 639 710 738 1065 1230 1278 1845 2130 2911 3195 3690 5822 6390 8733 14555 17466 26199 29110 43665 52398 55117 87330 110234 130995 165351 261990 275585 330702 496053 551170 826755 992106 1653510 2259797 2480265 3913307 4519594 4960530 6779391 7826614 11298985 11739921 13558782 19566535 20338173 22597970 23479842 33896955 35219763 39133070 40676346 58699605 67793910 70439526 101690865 117399210 160445587 176098815 203381730 320891174 352197630 481336761 802227935 962673522 1444010283 1604455870 2406683805 2888020566 4813367610 7220051415 14440102830