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144828292212 = 223219745192
BaseRepresentation
bin1000011011100001110…
…0000101110001110100
3111211211022222112111200
42012320130011301310
54333102020322322
6150311100532500
713314660112662
oct2067034056164
9454738875450
10144828292212
115646a88258a
122409a851130
1310870c91136
14701c993c32
153b79a5b8ac
hex21b8705c74

144828292212 has 54 divisors (see below), whose sum is σ = 368033523858. Its totient is φ = 48020412384.

The previous prime is 144828292139. The next prime is 144828292283. The reversal of 144828292212 is 212292828441.

It is a happy number.

144828292212 is a `hidden beast` number, since 1 + 4 + 482 + 82 + 92 + 2 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144093123216 + 735168996 = 379596^2 + 27114^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 32046489 + ... + 32051007.

It is an arithmetic number, because the mean of its divisors is an integer number (6815435627).

Almost surely, 2144828292212 is an apocalyptic number.

144828292212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144828292212 is an abundant number, since it is smaller than the sum of its proper divisors (223205231646).

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

144828292212 is an equidigital number, since it uses as much as digits as its factorization.

144828292212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 4721 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 144828292212 in words is "one hundred forty-four billion, eight hundred twenty-eight million, two hundred ninety-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 4519 7092 9038 13557 18076 27114 40671 54228 81342 162684 890243 1780486 2670729 3560972 5341458 8012187 10682916 16024374 20421361 32048748 40842722 61264083 81685444 122528166 183792249 245056332 367584498 735168996 4023008117 8046016234 12069024351 16092032468 24138048702 36207073053 48276097404 72414146106 144828292212