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41002442440 = 23537208113313
BaseRepresentation
bin100110001011111011…
…111001111011001000
310220211112022220000021
4212023323321323020
51132433111124230
630500344350224
72651036003341
oct461373717310
9126745286007
1041002442440
111643089a973
127b43775374
133b3596637b
141dad7930c8
1510ee9ebc7a
hex98bef9ec8

41002442440 has 64 divisors (see below), whose sum is σ = 94801538160. Its totient is φ = 15948840960.

The previous prime is 41002442413. The next prime is 41002442441. The reversal of 41002442440 is 4424420014.

It can be written as a sum of positive squares in 8 ways, for example, as 21346963236 + 19655479204 = 146106^2 + 140198^2 .

It is not an unprimeable number, because it can be changed into a prime (41002442441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3073224 + ... + 3086536.

Almost surely, 241002442440 is an apocalyptic number.

41002442440 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 41002442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47400769080).

41002442440 is an abundant number, since it is smaller than the sum of its proper divisors (53799095720).

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

41002442440 is a wasteful number, since it uses less digits than its factorization.

41002442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15442 (or 15438 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 41002442440 its reverse (4424420014), we get a palindrome (45426862454).

The spelling of 41002442440 in words is "forty-one billion, two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2081 4162 8324 10405 13313 16648 20810 26626 41620 53252 66565 76997 83240 106504 133130 153994 266260 307988 384985 492581 532520 615976 769970 985162 1539940 1970324 2462905 3079880 3940648 4925810 9851620 19703240 27704353 55408706 110817412 138521765 221634824 277043530 554087060 1025061061 1108174120 2050122122 4100244244 5125305305 8200488488 10250610610 20501221220 41002442440