Search a number
-
+
401912442048 = 26313161022613
BaseRepresentation
bin1011101100100111101…
…10010010110011000000
31102102101222011111021210
411312103312102303000
523041104041121143
6504345214250120
741015523250545
oct5662366226300
91372358144253
10401912442048
111454a5106417
1265a877b6940
132bb9190a160
141564a188bcc
15a6c4763033
hex5d93d92cc0

401912442048 has 56 divisors (see below), whose sum is σ = 1145192830768. Its totient is φ = 123665366016.

The previous prime is 401912442047. The next prime is 401912442053. The reversal of 401912442048 is 840244219104.

It is a happy number.

It is a super-2 number, since 2×4019124420482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 401912441997 and 401912442015.

It is not an unprimeable number, because it can be changed into a prime (401912442047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80508811 + ... + 80513802.

It is an arithmetic number, because the mean of its divisors is an integer number (20449871978).

Almost surely, 2401912442048 is an apocalyptic number.

401912442048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401912442048 is an abundant number, since it is smaller than the sum of its proper divisors (743280388720).

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

401912442048 is a wasteful number, since it uses less digits than its factorization.

401912442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161022641 (or 161022631 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 401912442048 in words is "four hundred one billion, nine hundred twelve million, four hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 161022613 322045226 483067839 644090452 966135678 1288180904 1932271356 2093293969 2576361808 3864542712 4186587938 5152723616 6279881907 7729085424 8373175876 10305447232 12559763814 15458170848 16746351752 25119527628 30916341696 33492703504 50239055256 66985407008 100478110512 133970814016 200956221024 401912442048