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141405144402024 = 23321963960338917
BaseRepresentation
bin100000001001101101110011…
…011001101100100001101000
3200112200012101122100000222100
4200021231303121230201220
5122013240213431331044
61220424343200053400
741533120204446546
oct4011556331544150
9615605348300870
10141405144402024
1141068648654958
1213a39320904260
1360b95a9065029
1426cc08cc26d96
1511534140c8869
hex809b7366c868

141405144402024 has 24 divisors (see below), whose sum is σ = 382972266089010. Its totient is φ = 47135048133984.

The previous prime is 141405144402001. The next prime is 141405144402029. The reversal of 141405144402024 is 420204441504141.

141405144402024 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 5 + 1 + 4 + 440 + 202 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99484466156100 + 41920678245924 = 9974190^2 + 6474618^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 141405144402024.

It is not an unprimeable number, because it can be changed into a prime (141405144402029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 981980169387 + ... + 981980169530.

Almost surely, 2141405144402024 is an apocalyptic number.

It is an amenable number.

141405144402024 is an abundant number, since it is smaller than the sum of its proper divisors (241567121686986).

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

141405144402024 is a wasteful number, since it uses less digits than its factorization.

141405144402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963960338929 (or 1963960338922 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 141405144402024 its reverse (420204441504141), we get a palindrome (561609585906165).

The spelling of 141405144402024 in words is "one hundred forty-one trillion, four hundred five billion, one hundred forty-four million, four hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1963960338917 3927920677834 5891881016751 7855841355668 11783762033502 15711682711336 17675643050253 23567524067004 35351286100506 47135048134008 70702572201012 141405144402024