Search a number
-
+
142035492753 = 327111977191447
BaseRepresentation
bin1000010001000111111…
…0011001111110010001
3111120121200211121212200
42010101332121332101
54311342041232003
6145130013313413
713155525524340
oct2042176317621
9446550747780
10142035492753
1155267372a60
122363b495869
13105174b548b
146c35ac5b57
153a647956a3
hex2111f99f91

142035492753 has 96 divisors (see below), whose sum is σ = 257620746240. Its totient is φ = 73257367680.

The previous prime is 142035492749. The next prime is 142035492787. The reversal of 142035492753 is 357294530241.

It is a happy number.

142035492753 is a `hidden beast` number, since 1 + 4 + 20 + 354 + 9 + 275 + 3 = 666.

142035492753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142035492753 - 22 = 142035492749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142035492699 and 142035492708.

It is not an unprimeable number, because it can be changed into a prime (142035492743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98157876 + ... + 98159322.

It is an arithmetic number, because the mean of its divisors is an integer number (2683549440).

Almost surely, 2142035492753 is an apocalyptic number.

It is an amenable number.

142035492753 is a deficient number, since it is larger than the sum of its proper divisors (115585253487).

142035492753 is a wasteful number, since it uses less digits than its factorization.

142035492753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 142035492753 in words is "one hundred forty-two billion, thirty-five million, four hundred ninety-two thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 197 231 591 693 719 1379 1447 1773 2157 2167 4137 4341 5033 6471 6501 7909 10129 12411 13023 15099 15169 15917 19503 23727 30387 45297 45507 47751 55363 71181 91161 111419 136521 141643 143253 166089 285059 334257 424929 498267 855177 991501 1002771 1040393 1274787 1558073 1995413 2565531 2974503 3121179 3135649 4674219 5986239 7282751 8923509 9363537 9406947 10906511 11444323 14022657 17958717 21848253 21949543 28220841 32719533 34332969 65544759 65848629 80110261 98158599 102998907 197545887 204957421 240330783 614872263 720992349 1434701947 1844616789 2254531631 4304105841 6763594893 12912317523 15781721417 20290784679 47345164251 142035492753