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1441122102420 = 22357112132181337
BaseRepresentation
bin10100111110001001100…
…100100010110010010100
312002202210021111001010020
4110332021210202302110
5142102404224234140
63022013052025140
7206055230520330
oct24761144426224
95082707431106
101441122102420
115061a3947500
121b3370a621b0
13a5b882a8460
144da71c2a7c0
15277483e66d0
hex14f89922c94

1441122102420 has 288 divisors, whose sum is σ = 5458859422464. Its totient is φ = 276418897920.

The previous prime is 1441122102419. The next prime is 1441122102449. The reversal of 1441122102420 is 242012211441.

It is a happy number.

It is a super-3 number, since 3×14411221024203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430009 + ... + 1751328.

Almost surely, 21441122102420 is an apocalyptic number.

1441122102420 is a gapful number since it is divisible by the number (10) 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 1441122102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729429711232).

1441122102420 is an abundant number, since it is smaller than the sum of its proper divisors (4017737320044).

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

1441122102420 is a wasteful number, since it uses less digits than its factorization.

1441122102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181391 (or 2181378 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1441122102420 its reverse (242012211441), we get a palindrome (1683134313861).

The spelling of 1441122102420 in words is "one trillion, four hundred forty-one billion, one hundred twenty-two million, one hundred two thousand, four hundred twenty".