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4418480230080 = 26357352325657
BaseRepresentation
bin100000001001100000111…
…1100011100111011000000
3120122101212111002000202220
41000103001330130323000
51034343021414330310
613221453301411040
7634140026163000
oct100230174347300
916571774060686
104418480230080
11145395999a394
125b43b8109a80
13260878cb9957
14113bd9a1a000
1579e04ebc670
hex404c1f1cec0

4418480230080 has 448 divisors, whose sum is σ = 16391890406400. Its totient is φ = 1007968002048.

The previous prime is 4418480230079. The next prime is 4418480230091. The reversal of 4418480230080 is 800320848144.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 172200612 + ... + 172226268.

Almost surely, 24418480230080 is an apocalyptic number.

4418480230080 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 4418480230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195945203200).

4418480230080 is an abundant number, since it is smaller than the sum of its proper divisors (11973410176320).

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

4418480230080 is a wasteful number, since it uses less digits than its factorization.

4418480230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26221 (or 26197 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 4418480230080 in words is "four trillion, four hundred eighteen billion, four hundred eighty million, two hundred thirty thousand, eighty".