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1044321394928 = 2471131513671489
BaseRepresentation
bin11110011001001100110…
…01111110000011110000
310200211120112221120101112
433030212121332003300
5114102232234114203
62115430555452452
7135310154251610
oct17144631760360
93624515846345
101044321394928
113729922249a9
1214a491157128
137762c71b906
143878c90aa40
151c27280b6d8
hexf32667e0f0

1044321394928 has 160 divisors (see below), whose sum is σ = 2356319662080. Its totient is φ = 439171891200.

The previous prime is 1044321394889. The next prime is 1044321394933. The reversal of 1044321394928 is 8294931234401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701356808 + ... + 701358296.

It is an arithmetic number, because the mean of its divisors is an integer number (14726997888).

Almost surely, 21044321394928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044321394928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178159831040).

1044321394928 is an abundant number, since it is smaller than the sum of its proper divisors (1311998267152).

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

1044321394928 is a wasteful number, since it uses less digits than its factorization.

1044321394928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 1044321394928 in words is "one trillion, forty-four billion, three hundred twenty-one million, three hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 151 226 302 367 452 604 734 791 904 1057 1208 1468 1489 1582 1808 2114 2416 2569 2936 2978 3164 4228 5138 5872 5956 6328 8456 10276 10423 11912 12656 16912 17063 20552 20846 23824 34126 41104 41471 41692 55417 68252 82942 83384 110834 119441 136504 165884 166768 168257 221668 224839 238882 273008 290297 331768 336514 387919 443336 449678 477764 546463 580594 663536 673028 775838 886672 899356 955528 1092926 1161188 1177799 1346056 1551676 1573873 1798712 1911056 2185852 2322376 2355598 2692112 3103352 3147746 3597424 3825241 4371704 4644752 4711196 6206704 6262121 6295492 7650482 8743408 9422392 12524242 12590984 15300964 18844784 25048484 25181968 25406807 30601928 43834847 50096968 50813614 61203856 61750319 82515913 87669694 100193936 101627228 123500638 165031826 175339388 177847649 203254456 247001276 330063652 350678776 355695298 406508912 432252233 494002552 577611391 660127304 701357552 711390596 864504466 988005104 1155222782 1320254608 1422781192 1729008932 2310445564 2845562384 3458017864 4620891128 6916035728 9241782256 9324298169 18648596338 37297192676 65270087183 74594385352 130540174366 149188770704 261080348732 522160697464 1044321394928