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41506046040 = 233517157129593
BaseRepresentation
bin100110101001111101…
…000000000001011000
310222010121221121021110
4212221331000001120
51140001021433130
631022334340320
72666362366404
oct465175000130
9128117847243
1041506046040
111666a098798
12806435a6a0
133bb60b0774
14201a606104
15112dd27ab0
hex9a9f40058

41506046040 has 128 divisors (see below), whose sum is σ = 132683520960. Its totient is φ = 10350772224.

The previous prime is 41506046039. The next prime is 41506046059. The reversal of 41506046040 is 4064060514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41506045989 and 41506046007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255484 + ... + 385076.

Almost surely, 241506046040 is an apocalyptic number.

41506046040 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 41506046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66341760480).

41506046040 is an abundant number, since it is smaller than the sum of its proper divisors (91177474920).

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

41506046040 is a wasteful number, since it uses less digits than its factorization.

41506046040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129781 (or 129777 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 41506046040 in words is "forty-one billion, five hundred six million, forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 157 170 204 255 314 340 408 471 510 628 680 785 942 1020 1256 1570 1884 2040 2355 2669 3140 3768 4710 5338 6280 8007 9420 10676 13345 16014 18840 21352 26690 32028 40035 53380 64056 80070 106760 129593 160140 259186 320280 388779 518372 647965 777558 1036744 1295930 1555116 1943895 2203081 2591860 3110232 3887790 4406162 5183720 6609243 7775580 8812324 11015405 13218486 15551160 17624648 20346101 22030810 26436972 33046215 40692202 44061620 52873944 61038303 66092430 81384404 88123240 101730505 122076606 132184860 162768808 203461010 244153212 264369720 305191515 345883717 406922020 488306424 610383030 691767434 813844040 1037651151 1220766060 1383534868 1729418585 2075302302 2441532120 2767069736 3458837170 4150604604 5188255755 6917674340 8301209208 10376511510 13835348680 20753023020 41506046040