Search a number
-
+
40240549440 = 26335713231127
BaseRepresentation
bin100101011110100001…
…100000111001000000
310211212102200201022000
4211132201200321000
51124403040040230
630253010344000
72623125012060
oct453641407100
9124772621260
1040240549440
111607a817433
12797058b000
133a43b66500
141d3a5073a0
1510a7ba0b60
hex95e860e40

40240549440 has 1344 divisors, whose sum is σ = 182774661120. Its totient is φ = 8151736320.

The previous prime is 40240549439. The next prime is 40240549469. The reversal of 40240549440 is 4494504204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40240549395 and 40240549404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316854657 + ... + 316854783.

Almost surely, 240240549440 is an apocalyptic number.

40240549440 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 40240549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91387330560).

40240549440 is an abundant number, since it is smaller than the sum of its proper divisors (142534111680).

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

40240549440 is a wasteful number, since it uses less digits than its factorization.

40240549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40240549440 in words is "forty billion, two hundred forty million, five hundred forty-nine thousand, four hundred forty".