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14342104344140 = 225191911030119183
BaseRepresentation
bin1101000010110100100000…
…0010001110011001001100
31212210002110220121021110222
43100231020002032121030
53334440112203003030
650300401034250512
73010116500323016
oct320551002163114
955702426537428
1014342104344140
11462a4a8005911
121737719886a38
138005baab4351
143782394391b6
1519d10ebb83e5
hexd0b4808e64c

14342104344140 has 96 divisors (see below), whose sum is σ = 31874341847040. Its totient is φ = 5405641056000.

The previous prime is 14342104344131. The next prime is 14342104344157. The reversal of 14342104344140 is 4144340124341.

It is a self number, because there is not a number n which added to its sum of digits gives 14342104344140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747636989 + ... + 747656171.

It is an arithmetic number, because the mean of its divisors is an integer number (332024394240).

Almost surely, 214342104344140 is an apocalyptic number.

14342104344140 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 14342104344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937170923520).

14342104344140 is an abundant number, since it is smaller than the sum of its proper divisors (17532237502900).

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

14342104344140 is a wasteful number, since it uses less digits than its factorization.

14342104344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29703 (or 29701 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 14342104344140 its reverse (4144340124341), we get a palindrome (18486444468481).

The spelling of 14342104344140 in words is "fourteen trillion, three hundred forty-two billion, one hundred four million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 191 380 382 764 955 1910 3629 3820 7258 10301 14516 18145 19183 20602 36290 38366 41204 51505 72580 76732 95915 103010 191830 195719 206020 364477 383660 391438 728954 782876 978595 1457908 1822385 1957190 1967491 3644770 3663953 3914380 3934982 7289540 7327906 7869964 9837455 14655812 18319765 19674910 36639530 37382329 39349820 69615107 73279060 74764658 139230214 149529316 186911645 197604083 278460428 348075535 373823290 395208166 696151070 747646580 790416332 988020415 1392302140 1976040830 3754477577 3952081660 7508955154 15017910308 18772387885 37544775770 37742379853 75089551540 75484759706 150969519412 188711899265 377423798530 717105217207 754847597060 1434210434414 2868420868828 3585526086035 7171052172070 14342104344140