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14210203441024 = 27674349381001
BaseRepresentation
bin1100111011001001001000…
…1000001101011110000000
31212022111000111210011000001
43032302102020031132000
53330304444040103044
650120024412205344
72664440042205043
oct316622210153600
955274014704001
1014210203441024
114589571424078
121716048469854
137c102a150b96
14371ac570cc5a
151999900192d4
hexcec9220d780

14210203441024 has 64 divisors (see below), whose sum is σ = 28738599858000. Its totient is φ = 6997427712000.

The previous prime is 14210203440973. The next prime is 14210203441043. The reversal of 14210203441024 is 42014430201241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14210203440983 and 14210203441001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37106524 + ... + 37487524.

Almost surely, 214210203441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14210203441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369299929000).

14210203441024 is an abundant number, since it is smaller than the sum of its proper divisors (14528396416976).

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

14210203441024 is an equidigital number, since it uses as much as digits as its factorization.

14210203441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385431 (or 385419 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14210203441024 its reverse (42014430201241), we get a palindrome (56224633642265).

The spelling of 14210203441024 in words is "fourteen trillion, two hundred ten billion, two hundred three million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 4349 8576 8698 17396 34792 69584 139168 278336 291383 381001 556672 582766 762002 1165532 1524004 2331064 3048008 4662128 6096016 9324256 12192032 18648512 24384064 25527067 37297024 48768128 51054134 102108268 204216536 408433072 816866144 1633732288 1656973349 3267464576 3313946698 6627893396 13255786792 26511573584 53023147168 106046294336 111017214383 212092588672 222034428766 444068857532 888137715064 1776275430128 3552550860256 7105101720512 14210203441024