Search a number
-
+
103040043040 = 25511194397019
BaseRepresentation
bin101111111110110101…
…0100100100000100000
3100211222001000112022101
41133331222210200200
53142011222334130
6115200321420144
710305266625514
oct1377552444040
9324861015271
10103040043040
113a776466470
1217b77a9a654
1399415a428c
144db6acc144
152a3108d1ca
hex17fdaa4820

103040043040 has 192 divisors, whose sum is σ = 280215936000. Its totient is φ = 35411143680.

The previous prime is 103040043023. The next prime is 103040043089. The reversal of 103040043040 is 40340040301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 103040042999 and 103040043017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14676651 + ... + 14683669.

It is an arithmetic number, because the mean of its divisors is an integer number (1459458000).

Almost surely, 2103040043040 is an apocalyptic number.

103040043040 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 103040043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140107968000).

103040043040 is an abundant number, since it is smaller than the sum of its proper divisors (177175892960).

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

103040043040 is a wasteful number, since it uses less digits than its factorization.

103040043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 103040043040 its reverse (40340040301), we get a palindrome (143380083341).

The spelling of 103040043040 in words is "one hundred three billion, forty million, forty-three thousand, forty".