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141210446013 = 3372138210387
BaseRepresentation
bin1000001110000011001…
…1000110100010111101
3111111111012100220112000
42003200303012202331
54303144333233023
6144512101532513
713126216662300
oct2034063064275
9444435326460
10141210446013
115498368514a
122344b114139
13104155a3040
146b982bab37
153a17122243
hex20e0cc68bd

141210446013 has 48 divisors (see below), whose sum is σ = 262075584960. Its totient is φ = 74484621792.

The previous prime is 141210446009. The next prime is 141210446051. The reversal of 141210446013 is 310644012141.

141210446013 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 10 + 44 + 601 + 3 = 666.

It is not a de Polignac number, because 141210446013 - 22 = 141210446009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141210446063) 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 47 ways as a sum of consecutive naturals, for example, 4087995 + ... + 4122392.

It is an arithmetic number, because the mean of its divisors is an integer number (5459908020).

Almost surely, 2141210446013 is an apocalyptic number.

141210446013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

141210446013 is a deficient number, since it is larger than the sum of its proper divisors (120865138947).

141210446013 is a wasteful number, since it uses less digits than its factorization.

141210446013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210423 (or 8210410 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 141210446013 its reverse (310644012141), we get a palindrome (451854458154).

The spelling of 141210446013 in words is "one hundred forty-one billion, two hundred ten million, four hundred forty-six thousand, thirteen".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 5733 17199 8210387 24631161 57472709 73893483 106735031 172418127 221680449 320205093 402308963 517254381 747145217 960615279 1206926889 1551763143 2241435651 2881845837 3620780667 5230016519 6724306953 10862342001 15690049557 20172920859 47070148671 141210446013