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14405034120 = 2335316136317
BaseRepresentation
bin11010110101001101…
…10110000010001000
31101011220121112221020
431122212312002020
5214000142042440
610341221512440
71016653525011
oct153246660210
941156545836
1014405034120
1161222a2384
122960272720
1314874c3939
149a91cc008
1559498d3d0
hex35a9b6088

14405034120 has 128 divisors (see below), whose sum is σ = 44688983040. Its totient is φ = 3710776320.

The previous prime is 14405034097. The next prime is 14405034131. The reversal of 14405034120 is 2143050441.

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, 2277202 + ... + 2283518.

It is an arithmetic number, because the mean of its divisors is an integer number (349132680).

Almost surely, 214405034120 is an apocalyptic number.

14405034120 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 14405034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22344491520).

14405034120 is an abundant number, since it is smaller than the sum of its proper divisors (30283948920).

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

14405034120 is a wasteful number, since it uses less digits than its factorization.

14405034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 14405034120 its reverse (2143050441), we get a palindrome (16548084561).

The spelling of 14405034120 in words is "fourteen billion, four hundred five million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 613 620 744 930 1226 1240 1839 1860 2452 3065 3678 3720 4904 6130 6317 7356 9195 12260 12634 14712 18390 18951 19003 24520 25268 31585 36780 37902 38006 50536 57009 63170 73560 75804 76012 94755 95015 114018 126340 151608 152024 189510 190030 195827 228036 252680 285045 379020 380060 391654 456072 570090 587481 758040 760120 783308 979135 1140180 1174962 1566616 1958270 2280360 2349924 2937405 3872321 3916540 4699848 5874810 7744642 7833080 11616963 11749620 15489284 19361605 23233926 23499240 30978568 38723210 46467852 58084815 77446420 92935704 116169630 120041951 154892840 232339260 240083902 360125853 464678520 480167804 600209755 720251706 960335608 1200419510 1440503412 1800629265 2400839020 2881006824 3601258530 4801678040 7202517060 14405034120