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10440114030 = 2335331116819
BaseRepresentation
bin10011011100100011…
…10111111101101110
3222221120220202002000
421232101313331232
5132340132122110
64443543513130
7516500335143
oct115621677556
928846822060
1010440114030
114478199215
1220344587a6
13ca4c35488
147107aa3ca
154118471c0
hex26e477f6e

10440114030 has 64 divisors (see below), whose sum is σ = 27924652800. Its totient is φ = 2775595680.

The previous prime is 10440114019. The next prime is 10440114031. The reversal of 10440114030 is 3041104401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10440113994 and 10440114012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440114031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30961 + ... + 147779.

It is an arithmetic number, because the mean of its divisors is an integer number (436322700).

Almost surely, 210440114030 is an apocalyptic number.

10440114030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440114030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962326400).

10440114030 is an abundant number, since it is smaller than the sum of its proper divisors (17484538770).

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

10440114030 is a wasteful number, since it uses less digits than its factorization.

10440114030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117166 (or 117160 counting only the distinct ones).

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

Adding to 10440114030 its reverse (3041104401), we get a palindrome (13481218431).

The spelling of 10440114030 in words is "ten billion, four hundred forty million, one hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 331 662 993 1655 1986 2979 3310 4965 5958 8937 9930 14895 17874 29790 44685 89370 116819 233638 350457 584095 700914 1051371 1168190 1752285 2102742 3154113 3504570 5256855 6308226 10513710 15770565 31541130 38667089 77334178 116001267 193335445 232002534 348003801 386670890 580006335 696007602 1044011403 1160012670 1740019005 2088022806 3480038010 5220057015 10440114030