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1441058894688 = 253721110163189
BaseRepresentation
bin10100111110000101110…
…011011011001101100000
312002202121212112202102010
4110332011303123031200
5142102242034112223
63022002513152520
7206053532333250
oct24760563331540
95082555482363
101441058894688
115061711a5606
121b335385b740
13a5b7817742a
144da67695960
1527742aad393
hex14f85cdb360

1441058894688 has 96 divisors (see below), whose sum is σ = 4343666100480. Its totient is φ = 409779740160.

The previous prime is 1441058894683. The next prime is 1441058894701. The reversal of 1441058894688 is 8864988501441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441058894683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4939803 + ... + 5223386.

It is an arithmetic number, because the mean of its divisors is an integer number (45246521880).

Almost surely, 21441058894688 is an apocalyptic number.

It is an amenable number.

1441058894688 is an abundant number, since it is smaller than the sum of its proper divisors (2902607205792).

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

1441058894688 is a wasteful number, since it uses less digits than its factorization.

1441058894688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10163420 (or 10163412 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 66.

The spelling of 1441058894688 in words is "one trillion, four hundred forty-one billion, fifty-eight million, eight hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 422 633 672 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 17724 20256 23632 35448 47264 70896 141792 10163189 20326378 30489567 40652756 60979134 71142323 81305512 121958268 142284646 162611024 213426969 243916536 284569292 325222048 426853938 487833072 569138584 853707876 975666144 1138277168 1707415752 2144432879 2276554336 3414831504 4288865758 6433298637 6829663008 8577731516 12866597274 15011030153 17155463032 25733194548 30022060306 34310926064 45033090459 51466389096 60044120612 68621852128 90066180918 102932778192 120088241224 180132361836 205865556384 240176482448 360264723672 480352964896 720529447344 1441058894688