Search a number
-
+
141006124384 = 2526943337831
BaseRepresentation
bin1000001101010010011…
…1101011010101100000
3111110221221220021221021
42003110213223111200
54302240031440014
6144435522335224
713121156165356
oct2032447532540
9443857807837
10141006124384
11548893102a4
12233b27ba514
13103b2164978
146b790d17d6
153a04212624
hex20d49eb560

141006124384 has 48 divisors (see below), whose sum is σ = 279288686880. Its totient is φ = 70076897280.

The previous prime is 141006124339. The next prime is 141006124387. The reversal of 141006124384 is 483421600141.

It is a super-3 number, since 3×1410061243843 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141006124387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3708349 + ... + 3746179.

It is an arithmetic number, because the mean of its divisors is an integer number (5818514310).

Almost surely, 2141006124384 is an apocalyptic number.

It is an amenable number.

141006124384 is a deficient number, since it is larger than the sum of its proper divisors (138282562496).

141006124384 is a wasteful number, since it uses less digits than its factorization.

141006124384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38543 (or 38535 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 141006124384 in words is "one hundred forty-one billion, six million, one hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 269 433 538 866 1076 1732 2152 3464 4304 6928 8608 13856 37831 75662 116477 151324 232954 302648 465908 605296 931816 1210592 1863632 3727264 10176539 16380823 20353078 32761646 40706156 65523292 81412312 131046584 162824624 262093168 325649248 524186336 4406441387 8812882774 17625765548 35251531096 70503062192 141006124384