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144441211131620 = 22513701299792163
BaseRepresentation
bin100000110101111001010111…
…000101001001011011100100
3200221102110000100112000021022
4200311321113011021123210
5122413011100022202440
61231111213142510312
742265350602034044
oct4065712705113344
9627373010460238
10144441211131620
11420291a0122377
1214249811435398
136279994abab40
142794dc5b87724
1511a73a9d60cb5
hex835e571496e4

144441211131620 has 48 divisors (see below), whose sum is σ = 326660232561600. Its totient is φ = 53331996122496.

The previous prime is 144441211131587. The next prime is 144441211131671. The reversal of 144441211131620 is 26131112144441.

It is an unprimeable number.

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, 181941659 + ... + 182733821.

It is an arithmetic number, because the mean of its divisors is an integer number (6805421511700).

Almost surely, 2144441211131620 is an apocalyptic number.

144441211131620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441211131620 is an abundant number, since it is smaller than the sum of its proper divisors (182219021429980).

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

144441211131620 is a wasteful number, since it uses less digits than its factorization.

144441211131620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493484 (or 1493482 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 144441211131620 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred eleven million, one hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 701299 792163 1402598 1584326 2805196 3168652 3506495 3960815 7012990 7921630 9116887 10298119 14025980 15843260 18233774 20596238 36467548 41192476 45584435 51490595 91168870 102981190 182337740 205962380 555543119737 1111086239474 2222172478948 2777715598685 5555431197370 7222060556581 11110862394740 14444121113162 28888242226324 36110302782905 72220605565810 144441211131620