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41352442120 = 235112291012917
BaseRepresentation
bin100110100000110011…
…000011000100001000
310221201220220201022101
4212200303003010020
51134142211121440
630555210203144
72662515646513
oct464063030410
9127656821271
1041352442120
11165a0414900
128020a234b4
133b9031c382
14200405dd7a
1511205d569a
hex9a0cc3108

41352442120 has 192 divisors, whose sum is σ = 106881087600. Its totient is φ = 14370048000.

The previous prime is 41352442063. The next prime is 41352442123. The reversal of 41352442120 is 2124425314.

It can be written as a sum of positive squares in 8 ways, for example, as 40071231684 + 1281210436 = 200178^2 + 35794^2 .

It is not an unprimeable number, because it can be changed into a prime (41352442123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14174902 + ... + 14177818.

Almost surely, 241352442120 is an apocalyptic number.

41352442120 is a gapful number since it is divisible by the number (40) 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 41352442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53440543800).

41352442120 is an abundant number, since it is smaller than the sum of its proper divisors (65528645480).

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

41352442120 is a wasteful number, since it uses less digits than its factorization.

41352442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 41352442120 its reverse (2124425314), we get a palindrome (43476867434).

The spelling of 41352442120 in words is "forty-one billion, three hundred fifty-two million, four hundred forty-two thousand, one hundred twenty".