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40491699840 = 273257029809
BaseRepresentation
bin100101101101011111…
…100100111010000000
310212111221021110212200
4211231133210322000
51130411333343330
630333541353200
72632264525014
oct455537447200
9125457243780
1040491699840
1116199566449
127a20708800
133a83bbc707
141d61a02544
1510bec60a60
hex96d7e4e80

40491699840 has 96 divisors (see below), whose sum is σ = 139822920900. Its totient is φ = 10797785088.

The previous prime is 40491699839. The next prime is 40491699841. The reversal of 40491699840 is 4899619404.

It is a happy number.

40491699840 is a `hidden beast` number, since 4 + 0 + 491 + 69 + 98 + 4 + 0 = 666.

40491699840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40491699839) and next prime (40491699841).

It can be written as a sum of positive squares in 2 ways, for example, as 40131307584 + 360392256 = 200328^2 + 18984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (40491699841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3509145 + ... + 3520664.

Almost surely, 240491699840 is an apocalyptic number.

40491699840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40491699840 is an abundant number, since it is smaller than the sum of its proper divisors (99331221060).

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

40491699840 is a wasteful number, since it uses less digits than its factorization.

40491699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029834 (or 7029819 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 40491699840 in words is "forty billion, four hundred ninety-one million, six hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 7029809 14059618 21089427 28119236 35149045 42178854 56238472 63268281 70298090 84357708 105447135 112476944 126536562 140596180 168715416 210894270 224953888 253073124 281192360 316341405 337430832 421788540 449907776 506146248 562384720 632682810 674861664 843577080 899815552 1012292496 1124769440 1265365620 1349723328 1687154160 2024584992 2249538880 2530731240 2699446656 3374308320 4049169984 4499077760 5061462480 6748616640 8098339968 10122924960 13497233280 20245849920 40491699840