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401863924788480 = 283957211101293
BaseRepresentation
bin101101101011111100011110…
…0011111000010110100000000
31221200212211000212121000000000
41123113320330133002310000
5410133114304221212410
63542405423300000000
7150434465453134200
oct13327707437026400
91850784025530000
10401863924788480
11107056595a76a90
12390a3b07390000
13143307b4399b8b
147134463c42400
15316d609c54dc0
hex16d7e3c7c2d00

401863924788480 has 4320 divisors, whose sum is σ = 1856739390726528. Its totient is φ = 82395242496000.

The previous prime is 401863924788467. The next prime is 401863924788569. The reversal of 401863924788480 is 84887429368104.

401863924788480 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 63 + 9 + 2 + 4 + 7 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×4018639247884802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 401863924788399 and 401863924788408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1371549231214 + ... + 1371549231506.

Almost surely, 2401863924788480 is an apocalyptic number.

401863924788480 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 401863924788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928369695363264).

401863924788480 is an abundant number, since it is smaller than the sum of its proper divisors (1454875465938048).

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

401863924788480 is an equidigital number, since it uses as much as digits as its factorization.

401863924788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 401863924788480 in words is "four hundred one trillion, eight hundred sixty-three billion, nine hundred twenty-four million, seven hundred eighty-eight thousand, four hundred eighty".