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1441544223240 = 233251110910213271
BaseRepresentation
bin10100111110100010101…
…110110011101000001000
312002210212200210000000200
4110332202232303220020
5142104240310120430
63022123011332200
7206101544503302
oct24764256635010
95083780700020
101441544223240
115063a0151090
121b346a2b1060
13a5c248935a4
144dab1d0c972
15277704c9460
hex14fa2bb3a08

1441544223240 has 384 divisors, whose sum is σ = 5164448889600. Its totient is φ = 345814272000.

The previous prime is 1441544223199. The next prime is 1441544223281. The reversal of 1441544223240 is 423224451441.

1441544223240 is a `hidden beast` number, since 1 + 4 + 41 + 544 + 2 + 2 + 32 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1441544223199) and next prime (1441544223281).

It is a super-2 number, since 2×14415442232402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1441544223195 and 1441544223204.

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, 440702805 + ... + 440706075.

It is an arithmetic number, because the mean of its divisors is an integer number (13449085650).

Almost surely, 21441544223240 is an apocalyptic number.

1441544223240 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 1441544223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582224444800).

1441544223240 is an abundant number, since it is smaller than the sum of its proper divisors (3722904666360).

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

1441544223240 is a wasteful number, since it uses less digits than its factorization.

1441544223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1441544223240 its reverse (423224451441), we get a palindrome (1864768674681).

The spelling of 1441544223240 in words is "one trillion, four hundred forty-one billion, five hundred forty-four million, two hundred twenty-three thousand, two hundred forty".