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146455040020221 = 321091356711004023
BaseRepresentation
bin100001010011001100111000…
…101000101100111011111101
3201012112222001112212012002200
4201103030320220230323331
5123144004410221121341
61235252303324542113
742564012264122442
oct4123147050547375
9635488045765080
10146455040020221
114273526301a909
1214513b746b1939
13639486037cc1a
1428246670cb9c9
1511de971e21db6
hex853338a2cefd

146455040020221 has 24 divisors (see below), whose sum is σ = 213502714613760. Its totient is φ = 96733804468896.

The previous prime is 146455040020213. The next prime is 146455040020231. The reversal of 146455040020221 is 122020040554641.

146455040020221 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 5 + 5 + 0 + 400 + 20 + 221 = 666.

It is not a de Polignac number, because 146455040020221 - 23 = 146455040020213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146455040020231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7807216 + ... + 18811238.

It is an arithmetic number, because the mean of its divisors is an integer number (8895946442240).

Almost surely, 2146455040020221 is an apocalyptic number.

It is an amenable number.

146455040020221 is a deficient number, since it is larger than the sum of its proper divisors (67047674593539).

146455040020221 is a wasteful number, since it uses less digits than its factorization.

146455040020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017705 (or 11017702 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 146455040020221 its reverse (122020040554641), we get a palindrome (268475080574862).

The spelling of 146455040020221 in words is "one hundred forty-six trillion, four hundred fifty-five billion, forty million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 109 327 981 13567 40701 122103 1478803 4436409 11004023 13309227 33012069 99036207 1199438507 3598315521 10794946563 149291580041 447874740123 1343624220369 16272782224469 48818346673407 146455040020221