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14222410004040 = 2335716931440481
BaseRepresentation
bin1100111011110110100110…
…1100100011011001001000
31212100122112012120210112120
43032331221230203121020
53331004443430112130
650125403541211240
72665351402242240
oct316755154433110
955318465523476
1014222410004040
114593765740587
121718494400b20
137c222402a034
1437252293ab20
15199e5698d910
hexcef69b23648

14222410004040 has 64 divisors (see below), whose sum is σ = 48762548588160. Its totient is φ = 3250836572160.

The previous prime is 14222410004029. The next prime is 14222410004129. The reversal of 14222410004040 is 4040001422241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14222410004040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8465719401 + ... + 8465721080.

It is an arithmetic number, because the mean of its divisors is an integer number (761914821690).

Almost surely, 214222410004040 is an apocalyptic number.

14222410004040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222410004040 is an abundant number, since it is smaller than the sum of its proper divisors (34540138584120).

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

14222410004040 is a wasteful number, since it uses less digits than its factorization.

14222410004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16931440502 (or 16931440498 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14222410004040 its reverse (4040001422241), we get a palindrome (18262411426281).

The spelling of 14222410004040 in words is "fourteen trillion, two hundred twenty-two billion, four hundred ten million, four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 16931440481 33862880962 50794321443 67725761924 84657202405 101588642886 118520083367 135451523848 169314404810 203177285772 237040166734 253971607215 338628809620 355560250101 406354571544 474080333468 507943214430 592600416835 677257619240 711120500202 948160666936 1015886428860 1185200833670 1422241000404 1777801250505 2031772857720 2370401667340 2844482000808 3555602501010 4740803334680 7111205002020 14222410004040