Search a number
-
+
40053001424 = 2431375341179
BaseRepresentation
bin100101010011010110…
…000100110011010000
310211101100210021210012
4211103112010303100
51124012032021144
630222230454052
72615356615622
oct452326046320
9124340707705
1040053001424
1115a93969877
127919804328
133a1404bb57
141d1d646c12
1510964a5e9e
hex953584cd0

40053001424 has 80 divisors (see below), whose sum is σ = 83825349120. Its totient is φ = 18500451840.

The previous prime is 40053001411. The next prime is 40053001427. The reversal of 40053001424 is 42410035004.

It is a self number, because there is not a number n which added to its sum of digits gives 40053001424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40053001427) 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, 952067 + ... + 993245.

It is an arithmetic number, because the mean of its divisors is an integer number (1047816864).

Almost surely, 240053001424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40053001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912674560).

40053001424 is an abundant number, since it is smaller than the sum of its proper divisors (43772347696).

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

40053001424 is a wasteful number, since it uses less digits than its factorization.

40053001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41308 (or 41302 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 40053001424 its reverse (42410035004), we get a palindrome (82463036428).

The spelling of 40053001424 in words is "forty billion, fifty-three million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 37 53 62 74 106 124 148 212 248 296 424 496 592 848 1147 1643 1961 2294 3286 3922 4588 6572 7844 9176 13144 15688 18352 26288 31376 41179 60791 82358 121582 164716 243164 329432 486328 658864 972656 1276549 1523623 2182487 2553098 3047246 4364974 5106196 6094492 8729948 10212392 12188984 17459896 20424784 24377968 34919792 47232313 67657097 80752019 94464626 135314194 161504038 188929252 270628388 323008076 377858504 541256776 646016152 755717008 1082513552 1292032304 2503312589 5006625178 10013250356 20026500712 40053001424