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10441405042000 = 245313139852691
BaseRepresentation
bin1001011111110001010000…
…1111010000110101010000
31100222012002110200200121021
42113330110033100311100
52332032444142321000
634112414255005224
72125236515321422
oct227742417206520
940865073620537
1010441405042000
1133661a1a37299
121207745509814
135a980a9717ca
1428151c324812
1513191186211a
hex97f143d0d50

10441405042000 has 80 divisors (see below), whose sum is σ = 25440045643584. Its totient is φ = 4144679760000.

The previous prime is 10441405041961. The next prime is 10441405042009. The reversal of 10441405042000 is 24050414401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×104414050420002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441405042009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19664346 + ... + 20188345.

Almost surely, 210441405042000 is an apocalyptic number.

10441405042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441405042000 is an abundant number, since it is smaller than the sum of its proper divisors (14998640601584).

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

10441405042000 is a wasteful number, since it uses less digits than its factorization.

10441405042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39852845 (or 39852829 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10441405042000 its reverse (24050414401), we get a palindrome (10465455456401).

The spelling of 10441405042000 in words is "ten trillion, four hundred forty-one billion, four hundred five million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 655 1000 1048 1310 2000 2096 2620 3275 5240 6550 10480 13100 16375 26200 32750 52400 65500 131000 262000 39852691 79705382 159410764 199263455 318821528 398526910 637643056 797053820 996317275 1594107640 1992634550 3188215280 3985269100 4981586375 5220702521 7970538200 9963172750 10441405042 15941076400 19926345500 20882810084 26103512605 39852691000 41765620168 52207025210 79705382000 83531240336 104414050420 130517563025 208828100840 261035126050 417656201680 522070252100 652587815125 1044140504200 1305175630250 2088281008400 2610351260500 5220702521000 10441405042000