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14441130120 = 23351926324083
BaseRepresentation
bin11010111001100001…
…00010100010001000
31101021102112102100010
431130300202202020
5214033412130440
610344551311520
71020602403114
oct153460424210
941242472303
1014441130120
11614070688a
12297037b5a0
131491b21511
149add06744
15597c1d580
hex35cc22888

14441130120 has 128 divisors (see below), whose sum is σ = 45778867200. Its totient is φ = 3634262784.

The previous prime is 14441130091. The next prime is 14441130127. The reversal of 14441130120 is 2103114441.

It is not an unprimeable number, because it can be changed into a prime (14441130127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587599 + ... + 611681.

It is an arithmetic number, because the mean of its divisors is an integer number (357647400).

Almost surely, 214441130120 is an apocalyptic number.

14441130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889433600).

14441130120 is an abundant number, since it is smaller than the sum of its proper divisors (31337737080).

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

14441130120 is a wasteful number, since it uses less digits than its factorization.

14441130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24379 (or 24375 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14441130120 its reverse (2103114441), we get a palindrome (16544244561).

The spelling of 14441130120 in words is "fourteen billion, four hundred forty-one million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 263 285 380 456 526 570 760 789 1052 1140 1315 1578 2104 2280 2630 3156 3945 4997 5260 6312 7890 9994 10520 14991 15780 19988 24083 24985 29982 31560 39976 48166 49970 59964 72249 74955 96332 99940 119928 120415 144498 149910 192664 199880 240830 288996 299820 361245 457577 481660 577992 599640 722490 915154 963320 1372731 1444980 1830308 2287885 2745462 2889960 3660616 4575770 5490924 6333829 6863655 9151540 10981848 12667658 13727310 18303080 19001487 25335316 27454620 31669145 38002974 50670632 54909240 63338290 76005948 95007435 120342751 126676580 152011896 190014870 240685502 253353160 361028253 380029740 481371004 601713755 722056506 760059480 962742008 1203427510 1444113012 1805141265 2406855020 2888226024 3610282530 4813710040 7220565060 14441130120