Search a number
-
+
141446450313 = 347419595381
BaseRepresentation
bin1000001110111011011…
…1011000110010001001
3111112002122110011120000
42003232313120302021
54304140242402223
6144551332153213
713135113663420
oct2035667306211
9445078404500
10141446450313
1154a94919723
12234b6168809
131045245525c
146bbb7922b7
153a2cbde543
hex20eedd8c89

141446450313 has 40 divisors (see below), whose sum is σ = 242058505920. Its totient is φ = 80633504160.

The previous prime is 141446450303. The next prime is 141446450339. The reversal of 141446450313 is 313054644141.

141446450313 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 4 + 645 + 0 + 3 + 1 + 3 = 666.

141446450313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141446450313 - 229 = 140909579401 is a prime.

It is a super-2 number, since 2×1414464503132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141446450303) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 60118 + ... + 535263.

It is an arithmetic number, because the mean of its divisors is an integer number (6051462648).

Almost surely, 2141446450313 is an apocalyptic number.

It is an amenable number.

141446450313 is a deficient number, since it is larger than the sum of its proper divisors (100612055607).

141446450313 is an equidigital number, since it uses as much as digits as its factorization.

141446450313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595819 (or 595810 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 141446450313 in words is "one hundred forty-one billion, four hundred forty-six million, four hundred fifty thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 419 567 1257 2933 3771 8799 11313 26397 33939 79191 237573 595381 1786143 4167667 5358429 12503001 16075287 37509003 48225861 112527009 249464639 337581027 748393917 1746252473 2245181751 5238757419 6735545253 15716272257 20206635759 47148816771 141446450313