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4021341406848 = 27344111383717
BaseRepresentation
bin111010100001001010101…
…000000100011010000000
3112020102210012022111110000
4322201022220010122000
51011341201400004343
612315213450240000
7563350405655133
oct72411250043200
915212705274400
104021341406848
11131049442a497
1254b443126000
1323229837831c
14dc8c384421a
156e90e894ed3
hex3a84aa04680

4021341406848 has 320 divisors, whose sum is σ = 12367973245320. Its totient is φ = 1296164782080.

The previous prime is 4021341406847. The next prime is 4021341406853. The reversal of 4021341406848 is 8486041431204.

4021341406848 is a `hidden beast` number, since 402 + 1 + 3 + 4 + 140 + 68 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2522989145664 + 1498352261184 = 1588392^2 + 1224072^2 .

It is a super-2 number, since 2×40213414068482 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4021341406847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47993086 + ... + 48076802.

Almost surely, 24021341406848 is an apocalyptic number.

4021341406848 is a gapful number since it is divisible by the number (48) 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 4021341406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183986622660).

4021341406848 is an abundant number, since it is smaller than the sum of its proper divisors (8346631838472).

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

4021341406848 is a wasteful number, since it uses less digits than its factorization.

4021341406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83897 (or 83876 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4021341406848 in words is "four trillion, twenty-one billion, three hundred forty-one million, four hundred six thousand, eight hundred forty-eight".