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40240424224 = 25711137317209
BaseRepresentation
bin100101011110100001…
…000010010100100000
310211212102110100112101
4211132201002110200
51124403022033344
630253003540144
72623123651030
oct453641022440
9124772410471
1040240424224
111607a741350
12797052a654
133a43b21510
141d3a4b38c0
1510a7b789d4
hex95e842520

40240424224 has 192 divisors, whose sum is σ = 107833178880. Its totient is φ = 14273003520.

The previous prime is 40240424183. The next prime is 40240424227. The reversal of 40240424224 is 42242404204.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40240424192 and 40240424201.

It is not an unprimeable number, because it can be changed into a prime (40240424227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2329732 + ... + 2346940.

It is an arithmetic number, because the mean of its divisors is an integer number (561631140).

Almost surely, 240240424224 is an apocalyptic number.

40240424224 is a gapful number since it is divisible by the number (44) 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 40240424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53916589440).

40240424224 is an abundant number, since it is smaller than the sum of its proper divisors (67592754656).

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

40240424224 is a wasteful number, since it uses less digits than its factorization.

40240424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17323 (or 17315 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40240424224 its reverse (42242404204), we get a palindrome (82482828428).

It can be divided in two parts, 40240 and 424224, that added together give a palindrome (464464).

The spelling of 40240424224 in words is "forty billion, two hundred forty million, four hundred twenty-four thousand, two hundred twenty-four".