Search a number
-
+
14303442120 = 23351119935437
BaseRepresentation
bin11010101001000110…
…10011010011001000
31100220211110010220120
431110203103103020
5213243140121440
610323152223240
71014311152302
oct152443232310
940824403816
1014303442120
11607aa13850
12293223ab20
13146c443626
14999904972
1558aac1dd0
hex3548d34c8

14303442120 has 128 divisors (see below), whose sum is σ = 46843367040. Its totient is φ = 3465123840.

The previous prime is 14303442071. The next prime is 14303442143. The reversal of 14303442120 is 2124430341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628042 + ... + 2633478.

It is an arithmetic number, because the mean of its divisors is an integer number (365963805).

Almost surely, 214303442120 is an apocalyptic number.

14303442120 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 14303442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23421683520).

14303442120 is an abundant number, since it is smaller than the sum of its proper divisors (32539924920).

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

14303442120 is a wasteful number, since it uses less digits than its factorization.

14303442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7455 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14303442120 its reverse (2124430341), we get a palindrome (16427872461).

The spelling of 14303442120 in words is "fourteen billion, three hundred three million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1993 3986 5437 5979 7972 9965 10874 11958 15944 16311 19930 21748 21923 23916 27185 29895 32622 39860 43496 43846 47832 54370 59790 59807 65244 65769 79720 81555 87692 108740 109615 119580 119614 130488 131538 163110 175384 179421 217480 219230 239160 239228 263076 299035 326220 328845 358842 438460 478456 526152 598070 652440 657690 717684 876920 897105 1196140 1315380 1435368 1794210 2392280 2630760 3588420 7176840 10835941 21671882 32507823 43343764 54179705 65015646 86687528 108359410 119195351 130031292 162539115 216718820 238390702 260062584 325078230 357586053 433437640 476781404 595976755 650156460 715172106 953562808 1191953510 1300312920 1430344212 1787930265 2383907020 2860688424 3575860530 4767814040 7151721060 14303442120