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41661503240 = 23572294211741
BaseRepresentation
bin100110110011001110…
…000001011100001000
310222112110110122110112
4212303032001130020
51140310321100430
631050010333452
73003260635400
oct466316013410
9128473418415
1041661503240
1116739918015
1280a842a288
133c0c370586
142033111800
15113c7d4195
hex9b3381708

41661503240 has 192 divisors, whose sum is σ = 113135583600. Its totient is φ = 13750732800.

The previous prime is 41661503239. The next prime is 41661503249. The reversal of 41661503240 is 4230516614.

It can be written as a sum of positive squares in 8 ways, for example, as 2244004 + 41659259236 = 1498^2 + 204106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41661503197 and 41661503206.

It is not an unprimeable number, because it can be changed into a prime (41661503249) 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, 23928770 + ... + 23930510.

Almost surely, 241661503240 is an apocalyptic number.

41661503240 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 41661503240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567791800).

41661503240 is an abundant number, since it is smaller than the sum of its proper divisors (71474080360).

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

41661503240 is a wasteful number, since it uses less digits than its factorization.

41661503240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 41661503240 in words is "forty-one billion, six hundred sixty-one million, five hundred three thousand, two hundred forty".