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14230342680 = 2335791519941
BaseRepresentation
bin11010100000011000…
…11100110000011000
31100201201220022022220
431100030130300120
5213120431431210
610312021344040
71012432626351
oct152014346030
940651808286
1014230342680
116042726094
122911868020
13145a25b118
1498dd16d28
15584482c70
hex35031cc18

14230342680 has 128 divisors (see below), whose sum is σ = 43522099200. Its totient is φ = 3721536000.

The previous prime is 14230342649. The next prime is 14230342747. The reversal of 14230342680 is 8624303241.

It is a Cunningham number, because it is equal to 1192912-1.

It is a congruent number.

It is an unprimeable number.

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, 1426510 + ... + 1436450.

It is an arithmetic number, because the mean of its divisors is an integer number (340016400).

Almost surely, 214230342680 is an apocalyptic number.

14230342680 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 14230342680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21761049600).

14230342680 is an abundant number, since it is smaller than the sum of its proper divisors (29291756520).

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

14230342680 is a wasteful number, since it uses less digits than its factorization.

14230342680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 14230342680 in words is "fourteen billion, two hundred thirty million, three hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 151 158 237 302 316 395 453 474 604 632 755 790 906 948 1185 1208 1510 1580 1812 1896 2265 2370 3020 3160 3624 4530 4740 6040 9060 9480 9941 11929 18120 19882 23858 29823 35787 39764 47716 49705 59645 59646 71574 79528 95432 99410 119290 119292 143148 149115 178935 198820 238580 238584 286296 298230 357870 397640 477160 596460 715740 785339 1192920 1431480 1501091 1570678 2356017 3002182 3141356 3926695 4503273 4712034 6004364 6282712 7505455 7853390 9006546 9424068 11780085 12008728 15010910 15706780 18013092 18848136 22516365 23560170 30021820 31413560 36026184 45032730 47120340 60043640 90065460 94240680 118586189 180130920 237172378 355758567 474344756 592930945 711517134 948689512 1185861890 1423034268 1778792835 2371723780 2846068536 3557585670 4743447560 7115171340 14230342680