Search a number
-
+
40763644000 = 255317358907
BaseRepresentation
bin100101111101101100…
…111101100001100000
310220012212222200010121
4211331230331201200
51131440443102000
630420534210024
72642106154102
oct457554754140
9126185880117
1040763644000
1116319018092
127a977b3914
133ac8346411
141d89b91572
1510d8a7bb1a
hex97db3d860

40763644000 has 96 divisors (see below), whose sum is σ = 100736921376. Its totient is φ = 16210931200.

The previous prime is 40763643923. The next prime is 40763644007. The reversal of 40763644000 is 44636704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40763644007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662547 + ... + 721453.

It is an arithmetic number, because the mean of its divisors is an integer number (1049342931).

Almost surely, 240763644000 is an apocalyptic number.

40763644000 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 40763644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50368460688).

40763644000 is an abundant number, since it is smaller than the sum of its proper divisors (59973277376).

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

40763644000 is a wasteful number, since it uses less digits than its factorization.

40763644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59105 (or 59087 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 40763644000 in words is "forty billion, seven hundred sixty-three million, six hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 692 800 865 1000 1384 1730 2000 2768 3460 4000 4325 5536 6920 8650 13840 17300 21625 27680 34600 43250 58907 69200 86500 117814 138400 173000 235628 294535 346000 471256 589070 692000 942512 1178140 1472675 1885024 2356280 2945350 4712560 5890700 7363375 9425120 10190911 11781400 14726750 20381822 23562800 29453500 40763644 47125600 50954555 58907000 81527288 101909110 117814000 163054576 203818220 235628000 254772775 326109152 407636440 509545550 815272880 1019091100 1273863875 1630545760 2038182200 2547727750 4076364400 5095455500 8152728800 10190911000 20381822000 40763644000