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1041441320000 = 265476933857
BaseRepresentation
bin11110010011110101011…
…11010110110001000000
310200120010211120121022202
433021322233112301000
5114030332434220000
62114233113452332
7135145613105654
oct17117257266100
93616124517282
101041441320000
11371744524a94
12149a087110a8
1377290b36173
1438598200a64
151c154a55dd5
hexf27abd6c40

1041441320000 has 140 divisors (see below), whose sum is σ = 2585870553420. Its totient is φ = 416022528000.

The previous prime is 1041441319999. The next prime is 1041441320077. The reversal of 1041441320000 is 231441401.

It can be written as a sum of positive squares in 10 ways, for example, as 470135120896 + 571306199104 = 685664^2 + 755848^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30743072 + ... + 30776928.

It is an arithmetic number, because the mean of its divisors is an integer number (18470503953).

Almost surely, 21041441320000 is an apocalyptic number.

1041441320000 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 1041441320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292935276710).

1041441320000 is an abundant number, since it is smaller than the sum of its proper divisors (1544429233420).

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

1041441320000 is an frugal number, since it uses more digits than its factorization.

1041441320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34658 (or 34633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1041441320000 its reverse (231441401), we get a palindrome (1041672761401).

The spelling of 1041441320000 in words is "one trillion, forty-one billion, four hundred forty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 769 800 1000 1250 1538 1600 2000 2500 3076 3845 4000 5000 6152 7690 8000 10000 12304 15380 19225 20000 24608 30760 33857 38450 40000 49216 61520 67714 76900 96125 123040 135428 153800 169285 192250 246080 270856 307600 338570 384500 480625 541712 615200 677140 769000 846425 961250 1083424 1230400 1354280 1538000 1692850 1922500 2166848 2708560 3076000 3385700 3845000 4232125 5417120 6152000 6771400 7690000 8464250 10834240 13542800 15380000 16928500 21160625 26036033 27085600 30760000 33857000 42321250 52072066 54171200 67714000 84642500 104144132 130180165 135428000 169285000 208288264 260360330 270856000 338570000 416576528 520720660 650900825 677140000 833153056 1041441320 1301801650 1354280000 1666306112 2082882640 2603603300 3254504125 4165765280 5207206600 6509008250 8331530560 10414413200 13018016500 16272520625 20828826400 26036033000 32545041250 41657652800 52072066000 65090082500 104144132000 130180165000 208288264000 260360330000 520720660000 1041441320000