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40411343211240 = 23353217310467199
BaseRepresentation
bin10010011000000111111111…
…10000011100101011101000
312022002021201222202012212010
421030003333300130223220
520244044412330224430
6221540414220515520
711340423520461321
oct1114037760345350
9168067658665763
1040411343211240
11119703997a2a11
124647ba50abba0
131971a08c7a601
149d9cc2d6d448
154a12d239bcb0
hex24c0ffc1cae8

40411343211240 has 64 divisors (see below), whose sum is σ = 121237809408000. Its totient is φ = 10776022209792.

The previous prime is 40411343211103. The next prime is 40411343211263. The reversal of 40411343211240 is 4211234311404.

It is a happy number.

40411343211240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 40411343211198 and 40411343211207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1372840 + ... + 9094359.

It is an arithmetic number, because the mean of its divisors is an integer number (1894340772000).

Almost surely, 240411343211240 is an apocalyptic number.

40411343211240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40411343211240 is an abundant number, since it is smaller than the sum of its proper divisors (80826466196760).

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

40411343211240 is a wasteful number, since it uses less digits than its factorization.

40411343211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499386 (or 10499382 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 40411343211240 its reverse (4211234311404), we get a palindrome (44622577522644).

The spelling of 40411343211240 in words is "forty trillion, four hundred eleven billion, three hundred forty-three million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 32173 64346 96519 128692 160865 193038 257384 321730 386076 482595 643460 772152 965190 1286920 1930380 3860760 10467199 20934398 31401597 41868796 52335995 62803194 83737592 104671990 125606388 157007985 209343980 251212776 314015970 418687960 628031940 1256063880 336761193427 673522386854 1010283580281 1347044773708 1683805967135 2020567160562 2694089547416 3367611934270 4041134321124 5051417901405 6735223868540 8082268642248 10102835802810 13470447737080 20205671605620 40411343211240