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141144050103440 = 2451764300626293
BaseRepresentation
bin100000000101111010101000…
…111101111111010010010000
3200111202020110112100102021112
4200011322220331333102100
5122000001003311302230
61220104403111112452
741505215065516136
oct4005725075772220
9614666415312245
10141144050103440
1140a779457359aa
12139b67b4972728
13609aa99683127
1426bd5a0bd9756
15114b7322e4d95
hex805ea8f7f490

141144050103440 has 20 divisors (see below), whose sum is σ = 328159916490684. Its totient is φ = 56457620041344.

The previous prime is 141144050103439. The next prime is 141144050103479. The reversal of 141144050103440 is 44301050441141.

It can be written as a sum of positive squares in 2 ways, for example, as 79081607270656 + 62062442832784 = 8892784^2 + 7877972^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 141144050103397 and 141144050103406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 882150313067 + ... + 882150313226.

Almost surely, 2141144050103440 is an apocalyptic number.

141144050103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141144050103440 is an abundant number, since it is smaller than the sum of its proper divisors (187015866387244).

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

141144050103440 is a wasteful number, since it uses less digits than its factorization.

141144050103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764300626306 (or 1764300626300 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 141144050103440 in words is "one hundred forty-one trillion, one hundred forty-four billion, fifty million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1764300626293 3528601252586 7057202505172 8821503131465 14114405010344 17643006262930 28228810020688 35286012525860 70572025051720 141144050103440