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21346144014 = 23132383143357
BaseRepresentation
bin10011111000010101…
…000100111100001110
32001002122112110200110
4103320111010330032
5322204103102024
613450053540450
71353656142006
oct237025047416
961078473613
1021346144014
119064383a38
124178944726
13202254ab60
141066db9006
1584e023629
hex4f8544f0e

21346144014 has 64 divisors (see below), whose sum is σ = 48553634304. Its totient is φ = 6206741376.

The previous prime is 21346144013. The next prime is 21346144031. The reversal of 21346144014 is 41044164312.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21346144013) 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 31 ways as a sum of consecutive naturals, for example, 77224 + ... + 220580.

It is an arithmetic number, because the mean of its divisors is an integer number (758650536).

Almost surely, 221346144014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21346144014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24276817152).

21346144014 is an abundant number, since it is smaller than the sum of its proper divisors (27207490290).

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

21346144014 is a wasteful number, since it uses less digits than its factorization.

21346144014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143481.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 21346144014 in words is "twenty-one billion, three hundred forty-six million, one hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 83 138 166 249 299 498 598 897 1079 1794 1909 2158 3237 3818 5727 6474 11454 24817 49634 74451 143357 148902 286714 430071 860142 1863641 3297211 3727282 5590923 6594422 9891633 11181846 11898631 19783266 23797262 35695893 42863743 71391786 85727486 128591229 154682203 257182458 273668513 309364406 464046609 547337026 821005539 928093218 1642011078 3557690669 7115381338 10673072007 21346144014