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103141440000 = 29325459607
BaseRepresentation
bin110000000001110110…
…1010111101000000000
3100212020002211000210100
41200003231113220000
53142213202040000
6115214343002400
710310640526464
oct1400355275000
9325202730710
10103141440000
113a818721505
1217ba5a39400
1399595b6891
144dc63644a4
152a39e1ba00
hex1803b57a00

103141440000 has 600 divisors, whose sum is σ = 378900213120. Its totient is φ = 26993664000.

The previous prime is 103141439983. The next prime is 103141440001. The reversal of 103141440000 is 44141301.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103141440001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 169919697 + ... + 169920303.

Almost surely, 2103141440000 is an apocalyptic number.

103141440000 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 103141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189450106560).

103141440000 is an abundant number, since it is smaller than the sum of its proper divisors (275758773120).

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

103141440000 is an frugal number, since it uses more digits than its factorization.

103141440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103141440000 its reverse (44141301), we get a palindrome (103185581301).

The spelling of 103141440000 in words is "one hundred three billion, one hundred forty-one million, four hundred forty thousand".