Search a number
-
+
40869924480 = 27325711432143
BaseRepresentation
bin100110000100000010…
…011000111010000000
310220111021222021112200
4212010002120322000
51132200200040410
630435252153200
72644536424530
oct460402307200
9126437867480
1040869924480
11163730091a0
127b07308800
133b14378788
141d99d394c0
1510e30723c0
hex984098e80

40869924480 has 768 divisors, whose sum is σ = 180128931840. Its totient is φ = 8291082240.

The previous prime is 40869924463. The next prime is 40869924481. The reversal of 40869924480 is 8442996804.

It is not an unprimeable number, because it can be changed into a prime (40869924481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19070289 + ... + 19072431.

It is an arithmetic number, because the mean of its divisors is an integer number (234542880).

Almost surely, 240869924480 is an apocalyptic number.

40869924480 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 40869924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90064465920).

40869924480 is an abundant number, since it is smaller than the sum of its proper divisors (139259007360).

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

40869924480 is a wasteful number, since it uses less digits than its factorization.

40869924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 40869924480 in words is "forty billion, eight hundred sixty-nine million, nine hundred twenty-four thousand, four hundred eighty".