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141440202144 = 2532491111813
BaseRepresentation
bin1000001110111001111…
…1100011010110100000
3111112002012200201200100
42003232133203112200
54304132142432034
6144550550222400
713135006611243
oct2035637432640
9445065621610
10141440202144
1154a9134134a
12234b4054a00
1310451078307
146bbaa0725a
153a2c3a8099
hex20ee7e35a0

141440202144 has 36 divisors (see below), whose sum is σ = 402220575666. Its totient is φ = 47146733952.

The previous prime is 141440202119. The next prime is 141440202187. The reversal of 141440202144 is 441202044141.

It is a happy number.

141440202144 is a `hidden beast` number, since 1 + 4 + 1 + 440 + 2 + 0 + 214 + 4 = 666.

141440202144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 89647545744 + 51792656400 = 299412^2 + 227580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 245555619 + ... + 245556194.

Almost surely, 2141440202144 is an apocalyptic number.

It is an amenable number.

141440202144 is an abundant number, since it is smaller than the sum of its proper divisors (260780373522).

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

141440202144 is a wasteful number, since it uses less digits than its factorization.

141440202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491111829 (or 491111818 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 141440202144 its reverse (441202044141), we get a palindrome (582642246285).

The spelling of 141440202144 in words is "one hundred forty-one billion, four hundred forty million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 491111813 982223626 1473335439 1964447252 2946670878 3928894504 4420006317 5893341756 7857789008 8840012634 11786683512 15715578016 17680025268 23573367024 35360050536 47146734048 70720101072 141440202144