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103404463136 = 2513743334547
BaseRepresentation
bin110000001001101100…
…0101110010000100000
3100212220102201222200222
41200103120232100200
53143233020310021
6115300420302212
710320313302002
oct1402330562040
9325812658628
10103404463136
113a94313a6a7
1218059b41968
13999bc38b80
14500d270372
152a530746ab
hex181362e420

103404463136 has 48 divisors (see below), whose sum is σ = 219533073984. Its totient is φ = 47660761344.

The previous prime is 103404463093. The next prime is 103404463153. The reversal of 103404463136 is 631364404301.

It is a junction number, because it is equal to n+sod(n) for n = 103404463096 and 103404463105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141815 + ... + 476361.

It is an arithmetic number, because the mean of its divisors is an integer number (4573605708).

Almost surely, 2103404463136 is an apocalyptic number.

103404463136 is a gapful number since it is divisible by the number (16) 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 103404463136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109766536992).

103404463136 is an abundant number, since it is smaller than the sum of its proper divisors (116128610848).

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

103404463136 is a wasteful number, since it uses less digits than its factorization.

103404463136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335313 (or 335305 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 103404463136 its reverse (631364404301), we get a palindrome (734768867437).

The spelling of 103404463136 in words is "one hundred three billion, four hundred four million, four hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 743 1486 2972 5944 9659 11888 19318 23776 38636 77272 154544 309088 334547 669094 1338188 2676376 4349111 5352752 8698222 10705504 17396444 34792888 69585776 139171552 248568421 497136842 994273684 1988547368 3231389473 3977094736 6462778946 7954189472 12925557892 25851115784 51702231568 103404463136