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146232282232641 = 3113101362595637
BaseRepresentation
bin100001001111111101011011…
…001111001011011101000001
3201011202200002011210002222210
4201033331123033023131001
5123131332203222421031
61235002103312252333
742541635163144503
oct4117753317133501
9634680064702883
10146232282232641
1142659843064000
12144989675410a9
136379850218767
14281797476bd73
1511d8c85a84746
hex84ff5b3cb741

146232282232641 has 32 divisors (see below), whose sum is σ = 216582725725056. Its totient is φ = 87748143912000.

The previous prime is 146232282232549. The next prime is 146232282232657.

146232282232641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146232282232641 - 29 = 146232282232129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146232282230641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180894526 + ... + 181701111.

It is an arithmetic number, because the mean of its divisors is an integer number (6768210178908).

Almost surely, 2146232282232641 is an apocalyptic number.

146232282232641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146232282232641 is a deficient number, since it is larger than the sum of its proper divisors (70350443492415).

146232282232641 is a wasteful number, since it uses less digits than its factorization.

146232282232641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362595774 (or 362595752 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 146232282232641 in words is "one hundred forty-six trillion, two hundred thirty-two billion, two hundred eighty-two million, two hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 1331 3333 3993 12221 36663 134431 403293 362595637 1087786911 3988552007 11965656021 36622159337 43874072077 109866478011 131622216231 402843752707 482614792847 1208531258121 1447844378541 4431281279777 13293843839331 48744094077547 146232282232641