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41343414440 = 2357959322063
BaseRepresentation
bin100110100000010000…
…100111000010101000
310221201021221001122212
4212200100213002220
51134132403230230
630554244504252
72662346136656
oct464020470250
9127637831585
1041343414440
1116596309209
1280199ab088
133b8b4ab253
142002b8ddd6
15111e900895
hex9a04270a8

41343414440 has 64 divisors (see below), whose sum is σ = 94363315200. Its totient is φ = 16299758592.

The previous prime is 41343414403. The next prime is 41343414493. The reversal of 41343414440 is 4441434314.

It is a junction number, because it is equal to n+sod(n) for n = 41343414397 and 41343414406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1862849 + ... + 1884911.

It is an arithmetic number, because the mean of its divisors is an integer number (1474426800).

Almost surely, 241343414440 is an apocalyptic number.

41343414440 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 41343414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47181657600).

41343414440 is an abundant number, since it is smaller than the sum of its proper divisors (53019900760).

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

41343414440 is a wasteful number, since it uses less digits than its factorization.

41343414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22746 (or 22742 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 41343414440 its reverse (4441434314), we get a palindrome (45784848754).

The spelling of 41343414440 in words is "forty-one billion, three hundred forty-three million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 593 632 790 1186 1580 2372 2965 3160 4744 5930 11860 22063 23720 44126 46847 88252 93694 110315 176504 187388 220630 234235 374776 441260 468470 882520 936940 1742977 1873880 3485954 6971908 8714885 13083359 13943816 17429770 26166718 34859540 52333436 65416795 69719080 104666872 130833590 261667180 523334360 1033585361 2067170722 4134341444 5167926805 8268682888 10335853610 20671707220 41343414440