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10441124043400 = 2352331174790281
BaseRepresentation
bin1001011111110000001101…
…1111010101101010001000
31100222011100212221110222201
42113330003133111222020
52332031410223342100
634112330340125544
72125226534011501
oct227740337255210
940864325843881
1010441124043400
113366068360946
1212076873968b4
135a979469774b
142814d2c99ba8
151318e6d5836a
hex97f037d5a88

10441124043400 has 96 divisors (see below), whose sum is σ = 24363161059680. Its totient is φ = 4161402432000.

The previous prime is 10441124043397. The next prime is 10441124043401. The reversal of 10441124043400 is 434042114401.

It is not an unprimeable number, because it can be changed into a prime (10441124043401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115606260 + ... + 115696540.

It is an arithmetic number, because the mean of its divisors is an integer number (253782927705).

Almost surely, 210441124043400 is an apocalyptic number.

10441124043400 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 10441124043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181580529840).

10441124043400 is an abundant number, since it is smaller than the sum of its proper divisors (13922037016280).

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

10441124043400 is a wasteful number, since it uses less digits than its factorization.

10441124043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92375 (or 92366 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10441124043400 its reverse (434042114401), we get a palindrome (10875166157801).

The spelling of 10441124043400 in words is "ten trillion, four hundred forty-one billion, one hundred twenty-four million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 331 662 1324 1655 1747 2648 3310 3494 6620 6988 8275 8735 13240 13976 16550 17470 33100 34940 43675 66200 69880 87350 90281 174700 180562 349400 361124 451405 578257 722248 902810 1156514 1805620 2257025 2313028 2891285 3611240 4514050 4626056 5782570 9028100 11565140 14456425 18056200 23130280 28912850 29883011 57825700 59766022 115651400 119532044 149415055 157720907 239064088 298830110 315441814 597660220 630883628 747075275 788604535 1195320440 1261767256 1494150550 1577209070 2988301100 3154418140 3943022675 5976602200 6308836280 7886045350 15772090700 31544181400 52205620217 104411240434 208822480868 261028101085 417644961736 522056202170 1044112404340 1305140505425 2088224808680 2610281010850 5220562021700 10441124043400