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1055841482400 = 253521321333031
BaseRepresentation
bin11110101110101010000…
…11100111011010100000
310201221022102000122111220
433113111003213122200
5114244330404414100
62125014043135040
7136165510343505
oct17272503473240
93657272018456
101055841482400
11377863a9a151
12150767214480
1378747312513
14391628c14ac
151c6e8d80aa0
hexf5d50e76a0

1055841482400 has 144 divisors (see below), whose sum is σ = 3439375990848. Its totient is φ = 281343744000.

The previous prime is 1055841482387. The next prime is 1055841482417. The reversal of 1055841482400 is 42841485501.

It is a super-2 number, since 2×10558414824002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3003885 + ... + 3336915.

It is an arithmetic number, because the mean of its divisors is an integer number (23884555492).

Almost surely, 21055841482400 is an apocalyptic number.

1055841482400 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 1055841482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719687995424).

1055841482400 is an abundant number, since it is smaller than the sum of its proper divisors (2383534508448).

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

1055841482400 is a wasteful number, since it uses less digits than its factorization.

1055841482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334375 (or 334362 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The spelling of 1055841482400 in words is "one trillion, fifty-five billion, eight hundred forty-one million, four hundred eighty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1321 2400 2642 3963 5284 6605 7926 10568 13210 15852 19815 21136 26420 31704 33025 39630 42272 52840 63408 66050 79260 99075 105680 126816 132100 158520 198150 211360 264200 317040 333031 396300 528400 634080 666062 792600 999093 1056800 1332124 1585200 1665155 1998186 2664248 3170400 3330310 3996372 4995465 5328496 6660620 7992744 8325775 9990930 10656992 13321240 15985488 16651550 19981860 24977325 26642480 31970976 33303100 39963720 49954650 53284960 66606200 79927440 99909300 133212400 159854880 199818600 266424800 399637200 439933951 799274400 879867902 1319801853 1759735804 2199669755 2639603706 3519471608 4399339510 5279207412 6599009265 7038943216 8798679020 10558414824 10998348775 13198018530 14077886432 17597358040 21116829648 21996697550 26396037060 32995046325 35194716080 42233659296 43993395100 52792074120 65990092650 70389432160 87986790200 105584148240 131980185300 175973580400 211168296480 263960370600 351947160800 527920741200 1055841482400