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1044221041040 = 2451719149327067
BaseRepresentation
bin11110011001000000110…
…11001001100110010000
310200211022120010001201212
433030200123021212100
5114102031041303130
62115413012515252
7135304525253642
oct17144033114620
93624276101655
101044221041040
11372940611601
1214a46361bb28
13776149b3008
143877d466892
151c268ad6e95
hexf3206c9990

1044221041040 has 160 divisors (see below), whose sum is σ = 2707835080320. Its totient is φ = 372164861952.

The previous prime is 1044221041027. The next prime is 1044221041093. The reversal of 1044221041040 is 401401224401.

It is a super-2 number, since 2×10442210410402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1044221040997 and 1044221041015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38565587 + ... + 38592653.

It is an arithmetic number, because the mean of its divisors is an integer number (16923969252).

Almost surely, 21044221041040 is an apocalyptic number.

1044221041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044221041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353917540160).

1044221041040 is an abundant number, since it is smaller than the sum of its proper divisors (1663614039280).

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

1044221041040 is a wasteful number, since it uses less digits than its factorization.

1044221041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28609 (or 28603 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1044221041040 its reverse (401401224401), we get a palindrome (1445622265441).

The spelling of 1044221041040 in words is "one trillion, forty-four billion, two hundred twenty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1493 1520 1615 2584 2986 3230 5168 5972 6460 7465 11944 12920 14930 23888 25381 25840 27067 28367 29860 50762 54134 56734 59720 101524 108268 113468 119440 126905 135335 141835 203048 216536 226936 253810 270670 283670 406096 433072 453872 460139 482239 507620 514273 541340 567340 920278 964478 1015240 1028546 1082680 1134680 1840556 1928956 2030480 2057092 2165360 2269360 2300695 2411195 2571365 3681112 3857912 4114184 4601390 4822390 5142730 7362224 7715824 8228368 8742641 9202780 9644780 10285460 17485282 18405560 19289560 20570920 34970564 36811120 38579120 40411031 41141840 43713205 69941128 80822062 87426410 139882256 161644124 174852820 202055155 323288248 349705640 404110310 646576496 686987527 699411280 767809589 808220620 1373975054 1535619178 1616441240 2747950108 3071238356 3232882480 3434937635 3839047945 5495900216 6142476712 6869875270 7678095890 10991800432 12284953424 13052763013 13739750540 15356191780 26105526026 27479501080 30712383560 52211052052 54959002160 61424767120 65263815065 104422104104 130527630130 208844208208 261055260260 522110520520 1044221041040