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103040440032 = 2535991791883
BaseRepresentation
bin101111111110110110…
…0000101011011100000
3100211222001202200212210
41133331230011123200
53142011323040112
6115200334122120
710305303201105
oct1377554053340
9324861680783
10103040440032
113a776707762
1217b78050340
1399416b2b9a
144db6b92aac
152a3111ab3c
hex17fdb056e0

103040440032 has 48 divisors (see below), whose sum is σ = 270932860800. Its totient is φ = 34289453952.

The previous prime is 103040439977. The next prime is 103040440033. The reversal of 103040440032 is 230044040301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1030404400322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103040439990 and 103040440008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103040440033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838438 + ... + 953445.

It is an arithmetic number, because the mean of its divisors is an integer number (5644434600).

Almost surely, 2103040440032 is an apocalyptic number.

103040440032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103040440032 is an abundant number, since it is smaller than the sum of its proper divisors (167892420768).

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

103040440032 is a wasteful number, since it uses less digits than its factorization.

103040440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792495 (or 1792487 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 103040440032 its reverse (230044040301), we get a palindrome (333084480333).

The spelling of 103040440032 in words is "one hundred three billion, forty million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 599 1198 1797 2396 3594 4792 7188 9584 14376 19168 28752 57504 1791883 3583766 5375649 7167532 10751298 14335064 21502596 28670128 43005192 57340256 86010384 172020768 1073337917 2146675834 3220013751 4293351668 6440027502 8586703336 12880055004 17173406672 25760110008 34346813344 51520220016 103040440032