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40360000000 = 29571009
BaseRepresentation
bin100101100101101001…
…001011101000000000
310212011202110102122211
4211211221023220000
51130124130000000
630312514511504
72626105224325
oct454551135000
9125152412584
1040360000000
1116131193401
1279a4595594
133a6282a308
141d4c31cb4c
1510b33e87ba
hex965a4ba00

40360000000 has 160 divisors (see below), whose sum is σ = 100901108880. Its totient is φ = 16128000000.

The previous prime is 40359999997. The next prime is 40360000001. The reversal of 40360000000 is 6304.

It can be written as a sum of positive squares in 8 ways, for example, as 38925711616 + 1434288384 = 197296^2 + 37872^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (40360000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39999496 + ... + 40000504.

Almost surely, 240360000000 is an apocalyptic number.

40360000000 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 40360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450554440).

40360000000 is an abundant number, since it is smaller than the sum of its proper divisors (60541108880).

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

40360000000 is an frugal number, since it uses more digits than its factorization.

40360000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 40360000000 its reverse (6304), we get a palindrome (40360006304).

It can be divided in two parts, 40 and 360000000, that multiplied together give a square (14400000000 = 1200002).

The spelling of 40360000000 in words is "forty billion, three hundred sixty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1009 1250 1280 1600 2000 2018 2500 2560 3125 3200 4000 4036 5000 5045 6250 6400 8000 8072 10000 10090 12500 12800 15625 16000 16144 20000 20180 25000 25225 31250 32000 32288 40000 40360 50000 50450 62500 64000 64576 78125 80000 80720 100000 100900 125000 126125 129152 156250 160000 161440 200000 201800 250000 252250 258304 312500 320000 322880 400000 403600 500000 504500 516608 625000 630625 645760 800000 807200 1000000 1009000 1250000 1261250 1291520 1600000 1614400 2000000 2018000 2500000 2522500 2583040 3153125 3228800 4000000 4036000 5000000 5045000 6306250 6457600 8000000 8072000 10000000 10090000 12612500 12915200 15765625 16144000 20000000 20180000 25225000 31531250 32288000 40000000 40360000 50450000 63062500 64576000 78828125 80720000 100900000 126125000 157656250 161440000 201800000 252250000 315312500 322880000 403600000 504500000 630625000 807200000 1009000000 1261250000 1614400000 2018000000 2522500000 4036000000 5045000000 8072000000 10090000000 20180000000 40360000000