Search a number
-
+
14120055432532 = 2277357467120209
BaseRepresentation
bin1100110101111001010011…
…1000110110010101010100
31211222212022221101211101201
43031132110320312111110
53322320333142320112
650010355223402244
72655066064604620
oct315362470662524
954885287354351
1014120055432532
114554311201015
121700689bb3384
137b569177931a
1436b5b2cc4180
15197465ba3257
hexcd794e36554

14120055432532 has 48 divisors (see below), whose sum is σ = 28627697992320. Its totient is φ = 5968402209792.

The previous prime is 14120055432499. The next prime is 14120055432551. The reversal of 14120055432532 is 23523455002141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14120055432491 and 14120055432500.

It is a congruent number.

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, 117402444 + ... + 117522652.

It is an arithmetic number, because the mean of its divisors is an integer number (596410374840).

Almost surely, 214120055432532 is an apocalyptic number.

It is an amenable number.

14120055432532 is an abundant number, since it is smaller than the sum of its proper divisors (14507642559788).

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

14120055432532 is a wasteful number, since it uses less digits than its factorization.

14120055432532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177760 (or 177758 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 14120055432532 in words is "fourteen trillion, one hundred twenty billion, fifty-five million, four hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 73 146 292 511 1022 2044 57467 114934 120209 229868 240418 402269 480836 804538 841463 1609076 1682926 3365852 4195091 8390182 8775257 16780364 17550514 29365637 35101028 58731274 61426799 117462548 122853598 245707196 6908050603 13816101206 27632202412 48356354221 96712708442 193425416884 504287694019 1008575388038 2017150776076 3530013858133 7060027716266 14120055432532