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41001143300 = 225213119326437
BaseRepresentation
bin100110001011110110…
…111100110000000100
310220211102212212220222
4212023312330300010
51132432243041200
630500300443512
72651021652635
oct461366746004
9126742785828
1041001143300
11164300928a7
127b43249598
133b355ccc50
141dad53588c
1510ee841d85
hex98bdbcc04

41001143300 has 72 divisors (see below), whose sum is σ = 95900460936. Its totient is φ = 15125621760.

The previous prime is 41001143291. The next prime is 41001143317. The reversal of 41001143300 is 334110014.

It can be written as a sum of positive squares in 12 ways, for example, as 10875986944 + 30125156356 = 104288^2 + 173566^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1537682 + ... + 1564118.

Almost surely, 241001143300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41001143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47950230468).

41001143300 is an abundant number, since it is smaller than the sum of its proper divisors (54899317636).

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

41001143300 is a wasteful number, since it uses less digits than its factorization.

41001143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27657 (or 27650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 41001143300 its reverse (334110014), we get a palindrome (41335253314).

The spelling of 41001143300 in words is "forty-one billion, one million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1193 1300 2386 4772 5965 11930 15509 23860 26437 29825 31018 52874 59650 62036 77545 105748 119300 132185 155090 264370 310180 343681 387725 528740 660925 687362 775450 1321850 1374724 1550900 1718405 2643700 3436810 6873620 8592025 17184050 31539341 34368100 63078682 126157364 157696705 315393410 410011433 630786820 788483525 820022866 1576967050 1640045732 2050057165 3153934100 4100114330 8200228660 10250285825 20500571650 41001143300