Search a number
-
+
10044304440 = 233583702537
BaseRepresentation
bin10010101101010111…
…11110110000111000
3221221000010112101120
421112223332300320
5131032320220230
64340404145240
7503623115262
oct112653766070
927830115346
1010044304440
114294825655
121b43998220
13c40c30311
146b3db6b32
153dbc10310
hex256afec38

10044304440 has 32 divisors (see below), whose sum is σ = 30132913680. Its totient is φ = 2678481152.

The previous prime is 10044304421. The next prime is 10044304441. The reversal of 10044304440 is 4440344001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10044304440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044304441) by changing a digit.

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, 41851149 + ... + 41851388.

Almost surely, 210044304440 is an apocalyptic number.

10044304440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044304440 is an abundant number, since it is smaller than the sum of its proper divisors (20088609240).

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

10044304440 is a wasteful number, since it uses less digits than its factorization.

10044304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83702551 (or 83702547 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10044304440 its reverse (4440344001), we get a palindrome (14484648441).

The spelling of 10044304440 in words is "ten billion, forty-four million, three hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 83702537 167405074 251107611 334810148 418512685 502215222 669620296 837025370 1004430444 1255538055 1674050740 2008860888 2511076110 3348101480 5022152220 10044304440