Search a number
-
+
4016063976000 = 26353533157283
BaseRepresentation
bin111010011100010000000…
…100010001001001000000
3112012221011101220020022020
4322130100010101021000
51011244344334213000
612312542044441440
7563102544360306
oct72342004211100
915187141806266
104016063976000
11130922646359a
1254a40b849280
13231936bc158b
14dc5429a6276
156e7013dbba0
hex3a710111240

4016063976000 has 224 divisors, whose sum is σ = 13511255891328. Its totient is φ = 1050743449600.

The previous prime is 4016063975969. The next prime is 4016063976007. The reversal of 4016063976000 is 6793606104.

It is a super-2 number, since 2×40160639760002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4016063976007) 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, 306642 + ... + 2850641.

Almost surely, 24016063976000 is an apocalyptic number.

4016063976000 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 4016063976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755627945664).

4016063976000 is an abundant number, since it is smaller than the sum of its proper divisors (9495191915328).

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

4016063976000 is a wasteful number, since it uses less digits than its factorization.

4016063976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157366 (or 3157346 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 4016063976000 in words is "four trillion, sixteen billion, sixty-three million, nine hundred seventy-six thousand".