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146131233213461 = 37157197127695457
BaseRepresentation
bin100001001110011111010100…
…001111110000110000010101
3201011102000020220020001221212
4201032133110033300300111
5123123203231200312321
61234443432313151205
742531430120514156
oct4116372417606025
9634360226201855
10146131233213461
114261a9a9574301
12144812663bb505
136370168298012
142812b0a27d92d
1511d631e6d455b
hex84e7d43f0c15

146131233213461 has 16 divisors (see below), whose sum is σ = 151803338906736. Its totient is φ = 140558985455616.

The previous prime is 146131233213437. The next prime is 146131233213463. The reversal of 146131233213461 is 164312332131641.

It can be written as a sum of positive squares in 8 ways, for example, as 33060315036100 + 113070918177361 = 5749810^2 + 10633481^2 .

It is a cyclic number.

It is not a de Polignac number, because 146131233213461 - 218 = 146131232951317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146131233213463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62703356 + ... + 64992101.

It is an arithmetic number, because the mean of its divisors is an integer number (9487708681671).

Almost surely, 2146131233213461 is an apocalyptic number.

It is an amenable number.

146131233213461 is a deficient number, since it is larger than the sum of its proper divisors (5672105693275).

146131233213461 is a wasteful number, since it uses less digits than its factorization.

146131233213461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127695848.

The product of its digits is 186624, while the sum is 41.

The spelling of 146131233213461 in words is "one hundred forty-six trillion, one hundred thirty-one billion, two hundred thirty-three million, two hundred thirteen thousand, four hundred sixty-one".

Divisors: 1 37 157 197 5809 7289 30929 1144373 127695457 4724731909 20048186749 25156005029 741782909713 930772186073 3949492789553 146131233213461