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144100016644045 = 57211277450742829
BaseRepresentation
bin100000110000111011100110…
…010011011101111111001101
3200220012211022220220012010011
4200300323212103131333031
5122341413313230102140
61230250344520513221
742231611513531500
oct4060734623357715
9626184286805104
10144100016644045
1141a07523796920
12141b367001b811
13625375b5c55c7
142782699981137
15119d58adbccea
hex830ee64ddfcd

144100016644045 has 96 divisors (see below), whose sum is σ = 220284596407680. Its totient is φ = 89482342602240.

The previous prime is 144100016643983. The next prime is 144100016644109. The reversal of 144100016644045 is 540446610001441.

It is not a de Polignac number, because 144100016644045 - 27 = 144100016643917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144100016643989 and 144100016644007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3364521691 + ... + 3364564519.

It is an arithmetic number, because the mean of its divisors is an integer number (2294631212580).

Almost surely, 2144100016644045 is an apocalyptic number.

It is an amenable number.

144100016644045 is a deficient number, since it is larger than the sum of its proper divisors (76184579763635).

144100016644045 is a wasteful number, since it uses less digits than its factorization.

144100016644045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47643 (or 47636 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

Adding to 144100016644045 its reverse (540446610001441), we get a palindrome (684546626645486).

The spelling of 144100016644045 in words is "one hundred forty-four trillion, one hundred billion, sixteen million, six hundred forty-four thousand, forty-five".

Divisors: 1 5 7 11 35 49 55 77 245 277 385 539 1385 1939 2695 3047 4507 9695 13573 15235 21329 22535 31549 42829 49577 67865 106645 149303 157745 214145 220843 247885 299803 347039 471119 746515 1104215 1248439 1499015 1735195 2098621 2355595 2429273 3297833 6242195 8739073 10493105 11863633 12146365 13732829 16489165 23084831 43695365 59318165 61173511 68664145 83045431 96129803 115424155 130499963 193030303 305867555 415227155 480649015 581318017 652499815 672908621 913499741 965151515 1351212121 2123333333 2906590085 3364543105 4567498705 6394498187 6756060605 9458484847 10616666665 14863333331 31972490935 47292424235 53469393931 74316666655 104043333317 267346969655 374285757517 520216666585 588163333241 1871428787585 2620000302619 2940816666205 4117143332687 13100001513095 20585716663435 28820003328809 144100016644045