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1104333450400 = 25521790789527
BaseRepresentation
bin10000000100011111011…
…001110010110010100000
310220120110220012212010201
4100010133121302302200
5121043133330403100
62203153534234544
7142533261306505
oct20043731626240
93816426185121
101104333450400
11396388496464
1215a03b055a54
13801a480a0cb
143b642c1b4ac
151dad614136a
hex1011f672ca0

1104333450400 has 144 divisors (see below), whose sum is σ = 2857718719296. Its totient is φ = 415286046720.

The previous prime is 1104333450371. The next prime is 1104333450419. The reversal of 1104333450400 is 40543334011.

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 23 ways as a sum of consecutive naturals, for example, 12290437 + ... + 12379963.

It is an arithmetic number, because the mean of its divisors is an integer number (19845268884).

Almost surely, 21104333450400 is an apocalyptic number.

1104333450400 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 1104333450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428859359648).

1104333450400 is an abundant number, since it is smaller than the sum of its proper divisors (1753385268896).

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

1104333450400 is a wasteful number, since it uses less digits than its factorization.

1104333450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90471 (or 90458 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 1104333450400 its reverse (40543334011), we get a palindrome (1144876784411).

The spelling of 1104333450400 in words is "one trillion, one hundred four billion, three hundred thirty-three million, four hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 907 1360 1700 1814 2720 3400 3628 4535 6800 7256 9070 13600 14512 15419 18140 22675 29024 30838 36280 45350 61676 72560 77095 89527 90700 123352 145120 154190 179054 181400 246704 308380 358108 362800 385475 447635 493408 616760 716216 725600 770950 895270 1233520 1432432 1521959 1541900 1790540 2238175 2467040 2864864 3043918 3083800 3581080 4476350 6087836 6167600 7162160 7609795 8952700 12175672 12335200 14324320 15219590 17905400 24351344 30439180 35810800 38048975 48702688 60878360 71621600 76097950 81200989 121756720 152195900 162401978 243513440 304391800 324803956 406004945 608783600 649607912 812009890 1217567200 1299215824 1380416813 1624019780 2030024725 2598431648 2760833626 3248039560 4060049450 5521667252 6496079120 6902084065 8120098900 11043334504 12992158240 13804168130 16240197800 22086669008 27608336260 32480395600 34510420325 44173338016 55216672520 64960791200 69020840650 110433345040 138041681300 220866690080 276083362600 552166725200 1104333450400