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2144554241440 = 255133493538369
BaseRepresentation
bin11111001101010001011…
…001001100110110100000
321121000110200011011111011
4133031101121030312200
5240114021341211230
64321110012030304
7310640024166142
oct37152131146640
97530420134434
102144554241440
11757555a62a26
122a7766a62394
131272cc811990
1475b22ca6c92
153abb8953e2a
hex1f35164cda0

2144554241440 has 192 divisors, whose sum is σ = 5488031556000. Its totient is φ = 787235733504.

The previous prime is 2144554241419. The next prime is 2144554241513. The reversal of 2144554241440 is 441424554412.

It can be written as a sum of positive squares in 16 ways, for example, as 208326519184 + 1936227722256 = 456428^2 + 1391484^2 .

It is a super-2 number, since 2×21445542414402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2144554241393 and 2144554241402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256245576 + ... + 256253944.

Almost surely, 22144554241440 is an apocalyptic number.

2144554241440 is a gapful number since it is divisible by the number (20) 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 2144554241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744015778000).

2144554241440 is an abundant number, since it is smaller than the sum of its proper divisors (3343477314560).

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

2144554241440 is a wasteful number, since it uses less digits than its factorization.

2144554241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 2144554241440 its reverse (441424554412), we get a palindrome (2585978795852).

The spelling of 2144554241440 in words is "two trillion, one hundred forty-four billion, five hundred fifty-four million, two hundred forty-one thousand, four hundred forty".