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41000444440 = 2353741821823
BaseRepresentation
bin100110001011110100…
…010010001000011000
310220211101120101021021
4212023310102020120
51132432103210230
630500233452224
72651013012304
oct461364221030
9126741511237
1041000444440
111642a75582a
127b42b71074
133b35416b17
141dad3d2d04
1510ee754c7a
hex98bd12218

41000444440 has 128 divisors (see below), whose sum is σ = 97291393920. Its totient is φ = 15529881600.

The previous prime is 41000444389. The next prime is 41000444449. The reversal of 41000444440 is 4444400014.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41000444449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49817869 + ... + 49818691.

It is an arithmetic number, because the mean of its divisors is an integer number (760089015).

Almost surely, 241000444440 is an apocalyptic number.

41000444440 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 41000444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48645696960).

41000444440 is an abundant number, since it is smaller than the sum of its proper divisors (56290949480).

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

41000444440 is a wasteful number, since it uses less digits than its factorization.

41000444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1729 counting only the distinct ones).

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

Adding to 41000444440 its reverse (4444400014), we get a palindrome (45444844454).

The spelling of 41000444440 in words is "forty-one billion, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 185 205 296 328 370 410 740 820 821 823 1480 1517 1640 1642 1646 3034 3284 3292 4105 4115 6068 6568 6584 7585 8210 8230 12136 15170 16420 16460 30340 30377 30451 32840 32920 33661 33743 60680 60754 60902 67322 67486 121508 121804 134644 134972 151885 152255 168305 168715 243016 243608 269288 269944 303770 304510 336610 337430 607540 609020 673220 674860 675683 1215080 1218040 1245457 1248491 1346440 1349720 1351366 2490914 2496982 2702732 3378415 4981828 4993964 5405464 6227285 6242455 6756830 9963656 9987928 12454570 12484910 13513660 24909140 24969820 25000271 27027320 27703003 49818280 49939640 50000542 55406006 100001084 110812012 125001355 138515015 200002168 221624024 250002710 277030030 500005420 554060060 1000010840 1025011111 1108120120 2050022222 4100044444 5125055555 8200088888 10250111110 20500222220 41000444440