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444011121403999 = 31411914998534297
BaseRepresentation
bin110010011110100110110010…
…1001010101110100001011111
32011020010001022110202200121021
41210331031211022232201133
5431144134234034411444
64212155520535345011
7162344513335254532
oct14475154512564137
92136101273680537
10444011121403999
11119526071760806
12419703b6222167
131609a0b8a34566
147b903780d6a19
15364eb35376584
hex193d3652ae85f

444011121403999 has 64 divisors (see below), whose sum is σ = 473581559808000. Its totient is φ = 415592840448000.

The previous prime is 444011121403919. The next prime is 444011121404009. The reversal of 444011121403999 is 999304121110444.

It is a cyclic number.

It is not a de Polignac number, because 444011121403999 - 233 = 444002531469407 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 (444011121403919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103330489219 + ... + 103330493515.

It is an arithmetic number, because the mean of its divisors is an integer number (7399711872000).

Almost surely, 2444011121403999 is an apocalyptic number.

444011121403999 is a deficient number, since it is larger than the sum of its proper divisors (29570438404001).

444011121403999 is a wasteful number, since it uses less digits than its factorization.

444011121403999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912.

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 444011121403999 in words is "four hundred forty-four trillion, eleven billion, one hundred twenty-one million, four hundred three thousand, nine hundred ninety-nine".

Divisors: 1 31 41 191 499 853 1271 4297 5921 7831 15469 20459 26443 34973 95309 133207 162923 176177 242761 425647 634229 820727 1084163 2144203 2954579 3665341 3907669 5050613 5461487 6679843 13195057 17451527 25442537 33649807 66470293 81298577 87912323 113625571 121137739 150278981 207075133 409542773 540997337 700080131 1043144017 1829005159 2520255887 2725282013 3333241657 4658648411 12695825963 16791253693 21702484061 28703285371 56699159929 74989211519 103330491367 349339985369 520528864483 889801846501 2324665557089 10829539546439 14322939400129 444011121403999