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141405415344 = 2432981982051
BaseRepresentation
bin1000001110110001101…
…0110110011110110000
3111111222210020101011100
42003230122312132300
54304044241242334
6144543304444400
713134105125064
oct2035432663660
9444883211140
10141405415344
1154a73741526
12234a4479700
1310446ab85cb
146bb614daa4
153a292d5c99
hex20ec6b67b0

141405415344 has 30 divisors (see below), whose sum is σ = 395738766956. Its totient is φ = 47135138400.

The previous prime is 141405415331. The next prime is 141405415363. The reversal of 141405415344 is 443514504141.

141405415344 is a `hidden beast` number, since 1 + 41 + 40 + 5 + 41 + 534 + 4 = 666.

141405415344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 141405415299 and 141405415308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 490990882 + ... + 490991169.

Almost surely, 2141405415344 is an apocalyptic number.

It is an amenable number.

141405415344 is an abundant number, since it is smaller than the sum of its proper divisors (254333351612).

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

141405415344 is a wasteful number, since it uses less digits than its factorization.

141405415344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981982065 (or 981982056 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 141405415344 its reverse (443514504141), we get a palindrome (584919919485).

The spelling of 141405415344 in words is "one hundred forty-one billion, four hundred five million, four hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 981982051 1963964102 2945946153 3927928204 5891892306 7855856408 8837838459 11783784612 15711712816 17675676918 23567569224 35351353836 47135138448 70702707672 141405415344