Search a number
-
+
40645300000 = 25551723909
BaseRepresentation
bin100101110110101001…
…100000111100100000
310212220122022011200111
4211312221200330200
51131220144100000
630401105501104
72636141230624
oct456651407440
9125818264614
1040645300000
1116268237528
127a64041794
133aa997c196
141d78187184
1510cd4a1cba
hex976a60f20

40645300000 has 144 divisors (see below), whose sum is σ = 105907049640. Its totient is φ = 15301120000.

The previous prime is 40645299991. The next prime is 40645300043. The reversal of 40645300000 is 354604.

It can be written as a sum of positive squares in 12 ways, for example, as 23690135056 + 16955164944 = 153916^2 + 130212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688046 + ... + 1711954.

Almost surely, 240645300000 is an apocalyptic number.

40645300000 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 40645300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52953524820).

40645300000 is an abundant number, since it is smaller than the sum of its proper divisors (65261749640).

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

40645300000 is an equidigital number, since it uses as much as digits as its factorization.

40645300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23961 (or 23933 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 40645300000 its reverse (354604), we get a palindrome (40645654604).

The spelling of 40645300000 in words is "forty billion, six hundred forty-five million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3125 3400 4000 4250 5000 6250 6800 8500 10000 10625 12500 13600 17000 20000 21250 23909 25000 34000 42500 47818 50000 53125 68000 85000 95636 100000 106250 119545 170000 191272 212500 239090 340000 382544 406453 425000 478180 597725 765088 812906 850000 956360 1195450 1625812 1700000 1912720 2032265 2390900 2988625 3251624 3825440 4064530 4781800 5977250 6503248 8129060 9563600 10161325 11954500 13006496 14943125 16258120 19127200 20322650 23909000 29886250 32516240 40645300 47818000 50806625 59772500 65032480 74715625 81290600 95636000 101613250 119545000 149431250 162581200 203226500 239090000 254033125 298862500 325162400 406453000 478180000 508066250 597725000 812906000 1016132500 1195450000 1270165625 1625812000 2032265000 2390900000 2540331250 4064530000 5080662500 8129060000 10161325000 20322650000 40645300000