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41142332320 = 255416271697
BaseRepresentation
bin100110010100010001…
…100010101110100000
310221012021120000211221
4212110101202232200
51133224414113240
630522302544424
72654355024505
oct462421425640
9127167500757
1041142332320
11164a2857241
127b82598114
133b5893554b
141dc41a94ac
15110be30a4a
hex994462ba0

41142332320 has 48 divisors (see below), whose sum is σ = 99569477448. Its totient is φ = 16055541760.

The previous prime is 41142332317. The next prime is 41142332321. The reversal of 41142332320 is 2323324114.

It can be written as a sum of positive squares in 4 ways, for example, as 35779992336 + 5362339984 = 189156^2 + 73228^2 .

It is not an unprimeable number, because it can be changed into a prime (41142332321) 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, 3129289 + ... + 3142408.

Almost surely, 241142332320 is an apocalyptic number.

41142332320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41142332320 is an abundant number, since it is smaller than the sum of its proper divisors (58427145128).

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

41142332320 is a wasteful number, since it uses less digits than its factorization.

41142332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271753 (or 6271745 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 41142332320 its reverse (2323324114), we get a palindrome (43465656434).

The spelling of 41142332320 in words is "forty-one billion, one hundred forty-two million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 6271697 12543394 25086788 31358485 50173576 62716970 100347152 125433940 200694304 250867880 257139577 501735760 514279154 1003471520 1028558308 1285697885 2057116616 2571395770 4114233232 5142791540 8228466464 10285583080 20571166160 41142332320