Search a number
-
+
4056421571136 = 263411225432
BaseRepresentation
bin111011000001110101100…
…100010001101001000000
3112100210022222211111010000
4323001311210101221000
51012430022410234021
612343254440040000
7566031623310444
oct73016544215100
915323288744100
104056421571136
111324356254100
125561b3463000
1323569908909c
1410049085a824
15707b44acb26
hex3b075911a40

4056421571136 has 315 divisors, whose sum is σ = 13222216576723. Its totient is φ = 1228735284480.

The previous prime is 4056421571119. The next prime is 4056421571197. The reversal of 4056421571136 is 6311751246504.

It is a happy number.

The square root of 4056421571136 is 2014056.

It is a perfect power (a square), and thus also a powerful number.

4056421571136 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 42 + 1 + 571 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4056421571091 and 4056421571100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1595131081 + ... + 1595133623.

Almost surely, 24056421571136 is an apocalyptic number.

4056421571136 is the 2014056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4056421571136

4056421571136 is an abundant number, since it is smaller than the sum of its proper divisors (9165795005587).

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

4056421571136 is an frugal number, since it uses more digits than its factorization.

4056421571136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 4056421571136 in words is "four trillion, fifty-six billion, four hundred twenty-one million, five hundred seventy-one thousand, one hundred thirty-six".