Search a number
-
+
429917142291 = 37138867177601
BaseRepresentation
bin1100100000110010000…
…11101111110100010011
31112002200122221122221220
412100121003233310103
524020432242023131
6525300132220123
743026514262130
oct6203103576423
91462618848856
10429917142291
1115636602318a
126b3a246a643
13317057b23c0
1416b455dd587
15b2b3106e96
hex64190efd13

429917142291 has 32 divisors (see below), whose sum is σ = 705588592128. Its totient is φ = 226742630400.

The previous prime is 429917142289. The next prime is 429917142329. The reversal of 429917142291 is 192241719924.

It is not a de Polignac number, because 429917142291 - 21 = 429917142289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (429917142091) 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 31 ways as a sum of consecutive naturals, for example, 2331891 + ... + 2509491.

It is an arithmetic number, because the mean of its divisors is an integer number (22049643504).

Almost surely, 2429917142291 is an apocalyptic number.

429917142291 is a deficient number, since it is larger than the sum of its proper divisors (275671449837).

429917142291 is a wasteful number, since it uses less digits than its factorization.

429917142291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186491.

The product of its digits is 653184, while the sum is 51.

The spelling of 429917142291 in words is "four hundred twenty-nine billion, nine hundred seventeen million, one hundred forty-two thousand, two hundred ninety-one".

Divisors: 1 3 7 13 21 39 91 273 8867 26601 62069 115271 177601 186207 345813 532803 806897 1243207 2308813 2420691 3729621 6926439 16161691 48485073 1574788067 4724364201 11023516469 20472244871 33070549407 61416734613 143305714097 429917142291