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41150225532240 = 243351155711032819
BaseRepresentation
bin10010101101101000010001…
…00100110100010101010000
312101200220220222012011202000
421112310020210310111100
520343201130214012430
6223304052545154000
711445001643541306
oct1126641044642520
9171626828164660
1041150225532240
111212579258a8a0
12474723332b900
1319c65aca69286
14a23978220276
154b5629c61e60
hex256d08934550

41150225532240 has 640 divisors, whose sum is σ = 155098130227200. Its totient is φ = 9945345116160.

The previous prime is 41150225532239. The next prime is 41150225532301. The reversal of 41150225532240 is 4223552205114.

41150225532240 is a `hidden beast` number, since 4 + 11 + 50 + 2 + 2 + 553 + 2 + 2 + 40 = 666.

It is a super-2 number, since 2×411502255322402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41150225532195 and 41150225532204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14597453551 + ... + 14597456369.

It is an arithmetic number, because the mean of its divisors is an integer number (242340828480).

Almost surely, 241150225532240 is an apocalyptic number.

41150225532240 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 41150225532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77549065113600).

41150225532240 is an abundant number, since it is smaller than the sum of its proper divisors (113947904694960).

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

41150225532240 is a wasteful number, since it uses less digits than its factorization.

41150225532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 41150225532240 its reverse (4223552205114), we get a palindrome (45373777737354).

The spelling of 41150225532240 in words is "forty-one trillion, one hundred fifty billion, two hundred twenty-five million, five hundred thirty-two thousand, two hundred forty".