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14204053242 = 2381736257
BaseRepresentation
bin11010011101010000…
…01010011011111010
31100122220102200000000
431032220022123322
5213042214200432
610305242053430
71011663313641
oct151650123372
940586380000
1014204053242
1160298aa485
122904aaa276
131454985042
1498a632358
15581edd57c
hex34ea0a6fa

14204053242 has 72 divisors (see below), whose sum is σ = 32147358516. Its totient is φ = 4706563968.

The previous prime is 14204053219. The next prime is 14204053271. The reversal of 14204053242 is 24235040241.

14204053242 is a `hidden beast` number, since 14 + 2 + 0 + 405 + 3 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9910003401 + 4294049841 = 99549^2 + 65529^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2266978 + ... + 2273234.

Almost surely, 214204053242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14204053242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073679258).

14204053242 is an abundant number, since it is smaller than the sum of its proper divisors (17943305274).

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

14204053242 is an frugal number, since it uses more digits than its factorization.

14204053242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 6435 counting only the distinct ones).

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

Adding to 14204053242 its reverse (24235040241), we get a palindrome (38439093483).

The spelling of 14204053242 in words is "fourteen billion, two hundred four million, fifty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 243 346 486 519 729 1038 1458 1557 2187 3114 4374 4671 6257 6561 9342 12514 13122 14013 18771 28026 37542 42039 56313 84078 112626 126117 168939 252234 337878 378351 506817 756702 1013634 1082461 1135053 1520451 2164922 2270106 3040902 3247383 4561353 6494766 9122706 9742149 13684059 19484298 27368118 29226447 41052177 58452894 82104354 87679341 175358682 263038023 526076046 789114069 1578228138 2367342207 4734684414 7102026621 14204053242