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1041100424000 = 26537137331951
BaseRepresentation
bin11110010011001100110…
…10111100001101000000
310200112021002010021220222
433021212122330031000
5114024133202032000
62114135215122212
7135134303410040
oct17114632741500
93615232107828
101041100424000
1137158a05885a
12149932513368
1377238319a60
1438564c23720
151c134b69a85
hexf2666bc340

1041100424000 has 448 divisors, whose sum is σ = 3179231956992. Its totient is φ = 328872960000.

The previous prime is 1041100423999. The next prime is 1041100424027. The reversal of 1041100424000 is 4240011401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1041100424000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533623025 + ... + 533624975.

It is an arithmetic number, because the mean of its divisors is an integer number (7096499904).

Almost surely, 21041100424000 is an apocalyptic number.

1041100424000 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 1041100424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589615978496).

1041100424000 is an abundant number, since it is smaller than the sum of its proper divisors (2138131532992).

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

1041100424000 is a wasteful number, since it uses less digits than its factorization.

1041100424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1041100424000 its reverse (4240011401), we get a palindrome (1045340435401).

The spelling of 1041100424000 in words is "one trillion, forty-one billion, one hundred million, four hundred twenty-four thousand".