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14042022435 = 3357130711369
BaseRepresentation
bin11010001001111100…
…00100001000100011
31100020121112122112000
431010332010020203
5212224224204220
610241213135043
71004655135630
oct150476041043
940217478460
1014042022435
115a563a0321
12287a78a483
13142a23311c
14972cd5187
15572b84390
hex344f84223

14042022435 has 64 divisors (see below), whose sum is σ = 28554163200. Its totient is φ = 6413734656.

The previous prime is 14042022427. The next prime is 14042022443. The reversal of 14042022435 is 53422024041.

14042022435 is a `hidden beast` number, since 1 + 404 + 2 + 0 + 224 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (14042022427) and next prime (14042022443).

It is not a de Polignac number, because 14042022435 - 23 = 14042022427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14042022399 and 14042022408.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229431 + ... + 1240799.

It is an arithmetic number, because the mean of its divisors is an integer number (446158800).

Almost surely, 214042022435 is an apocalyptic number.

14042022435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14042022435 is an abundant number, since it is smaller than the sum of its proper divisors (14512140765).

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

14042022435 is a wasteful number, since it uses less digits than its factorization.

14042022435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697 (or 12691 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14042022435 its reverse (53422024041), we get a palindrome (67464046476).

The spelling of 14042022435 in words is "fourteen billion, forty-two million, twenty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1307 3921 6535 9149 11369 11763 19605 27447 34107 35289 45745 56845 58815 79583 82341 102321 137235 170535 176445 238749 247023 306963 397915 411705 511605 716247 1193745 1235115 1534815 2148741 3581235 10743705 14859283 44577849 74296415 104014981 133733547 222889245 312044943 401200641 520074905 668667735 936134829 1560224715 2006003205 2808404487 4680674145 14042022435