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104244540400 = 245272111322861
BaseRepresentation
bin110000100010101110…
…1010111001111110000
3100222001222111100001201
41201011131113033300
53201443100243100
6115520030140544
710350163654600
oct1410535271760
9328058440051
10104244540400
1140234364130
1218253351754
139aa3cb1800
14508ca6cc00
152aa1bb636a
hex18457573f0

104244540400 has 540 divisors, whose sum is σ = 344270815704. Its totient is φ = 29981952000.

The previous prime is 104244540377. The next prime is 104244540401. The reversal of 104244540400 is 4045442401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104244540401) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 36434970 + ... + 36437830.

Almost surely, 2104244540400 is an apocalyptic number.

104244540400 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 104244540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172135407852).

104244540400 is an abundant number, since it is smaller than the sum of its proper divisors (240026275304).

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

104244540400 is a wasteful number, since it uses less digits than its factorization.

104244540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 104244540400 its reverse (4045442401), we get a palindrome (108289982801).

The spelling of 104244540400 in words is "one hundred four billion, two hundred forty-four million, five hundred forty thousand, four hundred".