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13750443441 = 35723557631
BaseRepresentation
bin11001100111001011…
…10001110110110001
31022111021212220100000
430303211301312301
5211130103142231
610152235420213
7664514561250
oct146345616661
938437786300
1013750443441
115916848749
1227b8bb4669
1313b19c3287
149462b4797
1555728a6e6
hex333971db1

13750443441 has 96 divisors (see below), whose sum is σ = 24646422528. Its totient is φ = 7490387520.

The previous prime is 13750443439. The next prime is 13750443451. The reversal of 13750443441 is 14434405731.

13750443441 is a `hidden beast` number, since 137 + 50 + 4 + 434 + 41 = 666.

It is not a de Polignac number, because 13750443441 - 21 = 13750443439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13750443396 and 13750443405.

It is not an unprimeable number, because it can be changed into a prime (13750443401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21791196 + ... + 21791826.

It is an arithmetic number, because the mean of its divisors is an integer number (256733568).

Almost surely, 213750443441 is an apocalyptic number.

It is an amenable number.

13750443441 is a deficient number, since it is larger than the sum of its proper divisors (10895979087).

13750443441 is an equidigital number, since it uses as much as digits as its factorization.

13750443441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13750443441 in words is "thirteen billion, seven hundred fifty million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 243 483 557 567 621 631 1449 1671 1701 1863 1893 3899 4347 4417 5013 5589 5679 11697 12811 13041 13251 14513 15039 17037 35091 38433 39123 39753 43539 45117 51111 89677 101591 105273 115299 119259 130617 135351 153333 269031 304773 315819 345897 351467 357777 391851 807093 914319 947457 1037691 1054401 1073331 1175553 2421279 2460269 2742957 3113073 3163203 3526659 7263837 7380807 8083741 8228871 9489609 21791511 22142421 24251223 24686613 28468827 56586187 66427263 72753669 85406481 169758561 199281789 218261007 509275683 597845367 654783021 1527827049 1964349063 4583481147 13750443441