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40849146720 = 253359455821
BaseRepresentation
bin100110000010110011…
…001000001101100000
310220102211212122211000
4212002303020031200
51132124340143340
630433230552000
72644165006134
oct460263101540
9126384778730
1040849146720
1116362307598
127b00368600
133b0cc82345
141d9728b3c4
1510e131ad30
hex982cc8360

40849146720 has 96 divisors (see below), whose sum is σ = 142972028640. Its totient is φ = 10893104640.

The previous prime is 40849146673. The next prime is 40849146731. The reversal of 40849146720 is 2764194804.

40849146720 is a `hidden beast` number, since 4 + 0 + 84 + 91 + 467 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4723591 + ... + 4732230.

It is an arithmetic number, because the mean of its divisors is an integer number (1489291965).

Almost surely, 240849146720 is an apocalyptic number.

40849146720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40849146720 is an abundant number, since it is smaller than the sum of its proper divisors (102122881920).

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

40849146720 is a wasteful number, since it uses less digits than its factorization.

40849146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455845 (or 9455831 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40849146720 in words is "forty billion, eight hundred forty-nine million, one hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9455821 18911642 28367463 37823284 47279105 56734926 75646568 85102389 94558210 113469852 141837315 151293136 170204778 189116420 226939704 255307167 283674630 302586272 340409556 378232840 425511945 453879408 510614334 567349260 680819112 756465680 851023890 907758816 1021228668 1134698520 1276535835 1361638224 1512931360 1702047780 2042457336 2269397040 2553071670 2723276448 3404095560 4084914672 4538794080 5106143340 6808191120 8169829344 10212286680 13616382240 20424573360 40849146720