Search a number
-
+
14767770042 = 233795236619
BaseRepresentation
bin11011100000011101…
…00100100110111010
31102010012011110002000
431300032210212322
5220221022120132
610441220321430
71031646655104
oct156016444672
942105143060
1014767770042
116299026233
122a41843276
1315146b8a8c
14a01452574
155b674087c
hex3703a49ba

14767770042 has 64 divisors (see below), whose sum is σ = 33301248000. Its totient is φ = 4850252784.

The previous prime is 14767770023. The next prime is 14767770047. The reversal of 14767770042 is 24007776741.

14767770042 is a `hidden beast` number, since 1 + 476 + 77 + 70 + 0 + 42 = 666.

14767770042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14767770042.

It is not an unprimeable number, because it can be changed into a prime (14767770047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2227809 + ... + 2234427.

It is an arithmetic number, because the mean of its divisors is an integer number (520332000).

Almost surely, 214767770042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14767770042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16650624000).

14767770042 is an abundant number, since it is smaller than the sum of its proper divisors (18533477958).

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

14767770042 is a wasteful number, since it uses less digits than its factorization.

14767770042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 14767770042 in words is "fourteen billion, seven hundred sixty-seven million, seven hundred seventy thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 523 711 1046 1422 1569 2133 3138 4266 4707 6619 9414 13238 14121 19857 28242 39714 41317 59571 82634 119142 123951 178713 247902 357426 371853 522901 743706 1045802 1115559 1568703 2231118 3137406 3461737 4706109 6923474 9412218 10385211 14118327 20770422 28236654 31155633 62311266 93466899 186933798 273477223 546954446 820431669 1640863338 2461295007 4922590014 7383885021 14767770042