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14004230203340 = 22513223401602333
BaseRepresentation
bin1100101111001001110100…
…1010101010011111001100
31211120210100212210112211022
43023302131022222133030
53313421130413001330
645441242103013312
72643525610444646
oct313623512523714
954523325715738
1014004230203340
11450a184951003
1216a214443a238
137a7793476350
14365b461c7896
15194437496ae5
hexcbc9d2aa7cc

14004230203340 has 96 divisors (see below), whose sum is σ = 31892515554816. Its totient is φ = 5134759833600.

The previous prime is 14004230203291. The next prime is 14004230203349. The reversal of 14004230203340 is 4330203240041.

It is a super-3 number, since 3×140042302033403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (14004230203349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22948814 + ... + 23551146.

It is an arithmetic number, because the mean of its divisors is an integer number (332213703696).

Almost surely, 214004230203340 is an apocalyptic number.

14004230203340 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 14004230203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946257777408).

14004230203340 is an abundant number, since it is smaller than the sum of its proper divisors (17888285351476).

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

14004230203340 is a wasteful number, since it uses less digits than its factorization.

14004230203340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602979 (or 602977 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 14004230203340 its reverse (4330203240041), we get a palindrome (18334433443381).

The spelling of 14004230203340 in words is "fourteen trillion, four billion, two hundred thirty million, two hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 223 260 401 446 802 892 1115 1604 2005 2230 2899 4010 4460 5213 5798 8020 10426 11596 14495 20852 26065 28990 52130 57980 89423 104260 178846 357692 447115 602333 894230 1162499 1204666 1788460 2324998 2409332 3011665 4649996 5812495 6023330 7830329 11624990 12046660 15660658 23249980 31321316 39151645 78303290 134320259 156606580 241535533 268640518 483071066 537281036 671601295 966142132 1207677665 1343202590 1746163367 2415355330 2686405180 3139961929 3492326734 4830710660 6279923858 6984653468 8730816835 12559847716 15699809645 17461633670 31399619290 34923267340 53862423859 62799238580 107724847718 215449695436 269312119295 538624238590 700211510167 1077248477180 1400423020334 2800846040668 3501057550835 7002115101670 14004230203340