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102044041040 = 24510112629213
BaseRepresentation
bin101111100001001001…
…1000111111101010000
3100202101121212101102102
41133002103013331100
53132441233303130
6114513421535532
710241514015554
oct1370223077520
9322347771372
10102044041040
113a305223417
121793a4145a8
139813136a96
144d20701864
1529c38eb645
hex17c24c7f50

102044041040 has 40 divisors (see below), whose sum is σ = 239601448008. Its totient is φ = 40413478400.

The previous prime is 102044041039. The next prime is 102044041061. The reversal of 102044041040 is 40140440201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22054626064 + 79989414976 = 148508^2 + 282824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

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 7 ways as a sum of consecutive naturals, for example, 6306527 + ... + 6322686.

Almost surely, 2102044041040 is an apocalyptic number.

102044041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102044041040 is an abundant number, since it is smaller than the sum of its proper divisors (137557406968).

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

102044041040 is a wasteful number, since it uses less digits than its factorization.

102044041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629327 (or 12629321 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102044041040 its reverse (40140440201), we get a palindrome (142184481241).

The spelling of 102044041040 in words is "one hundred two billion, forty-four million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 12629213 25258426 50516852 63146065 101033704 126292130 202067408 252584260 505168520 1010337040 1275550513 2551101026 5102202052 6377752565 10204404104 12755505130 20408808208 25511010260 51022020520 102044041040