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14222434033440 = 253259876690301
BaseRepresentation
bin1100111011110110101100…
…1000001101111100100000
31212100122120212210121200100
43032331223020031330200
53331010021103032230
650125410200222400
72665352113422633
oct316755310157440
955318525717610
1014222434033440
114593778263196
1217184a046aa00
137c2228cc1509
14372525bd3c1a
15199e58b38660
hexcef6b20df20

14222434033440 has 72 divisors (see below), whose sum is σ = 48534056144028. Its totient is φ = 3792649075200.

The previous prime is 14222434033439. The next prime is 14222434033477. The reversal of 14222434033440 is 4433043422241.

14222434033440 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 243 + 40 + 334 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14158693942416 + 63740091024 = 3762804^2 + 252468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14222434033395 and 14222434033404.

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 11 ways as a sum of consecutive naturals, for example, 4938343711 + ... + 4938346590.

Almost surely, 214222434033440 is an apocalyptic number.

14222434033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222434033440 is an abundant number, since it is smaller than the sum of its proper divisors (34311622110588).

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

14222434033440 is a wasteful number, since it uses less digits than its factorization.

14222434033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9876690322 (or 9876690311 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 14222434033440 its reverse (4433043422241), we get a palindrome (18655477455681).

The spelling of 14222434033440 in words is "fourteen trillion, two hundred twenty-two billion, four hundred thirty-four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9876690301 19753380602 29630070903 39506761204 49383451505 59260141806 79013522408 88890212709 98766903010 118520283612 148150354515 158027044816 177780425418 197533806020 237040567224 296300709030 316054089632 355560850836 395067612040 444451063545 474081134448 592601418060 711121701672 790135224080 888902127090 948162268896 1185202836120 1422243403344 1580270448160 1777804254180 2370405672240 2844486806688 3555608508360 4740811344480 7111217016720 14222434033440