Search a number
-
+
31533004533140 = 225114131788712433
BaseRepresentation
bin1110010101101110110011…
…00010001010110110010100
311010122112012022011220012222
413022313121202022312110
513113114043130030030
6151022021242401512
76433120151046365
oct712673142126624
9133575168156188
1031533004533140
11a058087aa4710
123653383500298
13147971b52b5b6
147b02c40c7b6c
1539a3a49393e5
hex1cadd988ad94

31533004533140 has 192 divisors, whose sum is σ = 74324291102208. Its totient is φ = 11138117222400.

The previous prime is 31533004533091. The next prime is 31533004533209. The reversal of 31533004533140 is 4133540033513.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31533004533140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2536228364 + ... + 2536240796.

It is an arithmetic number, because the mean of its divisors is an integer number (387105682824).

Almost surely, 231533004533140 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 31533004533140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37162145551104).

31533004533140 is an abundant number, since it is smaller than the sum of its proper divisors (42791286569068).

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

31533004533140 is a wasteful number, since it uses less digits than its factorization.

31533004533140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13698 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 31533004533140 its reverse (4133540033513), we get a palindrome (35666544566653).

The spelling of 31533004533140 in words is "thirty-one trillion, five hundred thirty-three billion, four million, five hundred thirty-three thousand, one hundred forty".