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10441144332 = 22325938912637
BaseRepresentation
bin10011011100101011…
…10011100000001100
3222221122212002101100
421232111303200030
5132340413104312
64444021543100
7516512156013
oct115625634014
928848762340
1010441144332
114478832303
122034874a90
13ca5206418
14710997a7a
1541199c5dc
hex26e57380c

10441144332 has 72 divisors (see below), whose sum is σ = 26911357200. Its totient is φ = 3412326528.

The previous prime is 10441144327. The next prime is 10441144333. The reversal of 10441144332 is 23344114401.

It is a junction number, because it is equal to n+sod(n) for n = 10441144296 and 10441144305.

It is not an unprimeable number, because it can be changed into a prime (10441144333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819918 + ... + 832554.

It is an arithmetic number, because the mean of its divisors is an integer number (373768850).

Almost surely, 210441144332 is an apocalyptic number.

10441144332 is a gapful number since it is divisible by the number (12) 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 10441144332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13455678600).

10441144332 is an abundant number, since it is smaller than the sum of its proper divisors (16470212868).

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

10441144332 is a wasteful number, since it uses less digits than its factorization.

10441144332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13095 (or 13090 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10441144332 its reverse (23344114401), we get a palindrome (33785258733).

The spelling of 10441144332 in words is "ten billion, four hundred forty-one million, one hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 389 531 708 778 1062 1167 1556 2124 2334 3501 4668 7002 12637 14004 22951 25274 37911 45902 50548 68853 75822 91804 113733 137706 151644 206559 227466 275412 413118 454932 745583 826236 1491166 2236749 2982332 4473498 4915793 6710247 8946996 9831586 13420494 14747379 19663172 26840988 29494758 44242137 58989516 88484274 176968548 290031787 580063574 870095361 1160127148 1740190722 2610286083 3480381444 5220572166 10441144332