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21442011321042 = 2331330544175671
BaseRepresentation
bin1001110000000010110110…
…11101111101001011010010
32210220211120122011112102000
410320001123131331023102
510302301214344233132
6113334153553134430
74342064013015324
oct470013335751322
983824518145360
1021442011321042
116917562442664
1224a373225a416
13bc6c8587c450
14541b281d9614
15272b5137987c
hex13805b77d2d2

21442011321042 has 32 divisors (see below), whose sum is σ = 51314215128960. Its totient is φ = 6597541944720.

The previous prime is 21442011321001. The next prime is 21442011321061. The reversal of 21442011321042 is 24012311024412.

21442011321042 is a `hidden beast` number, since 2 + 1 + 4 + 420 + 1 + 132 + 104 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21442011320997 and 21442011321015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15272087134 + ... + 15272088537.

It is an arithmetic number, because the mean of its divisors is an integer number (1603569222780).

Almost surely, 221442011321042 is an apocalyptic number.

21442011321042 is an abundant number, since it is smaller than the sum of its proper divisors (29872203807918).

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

21442011321042 is a wasteful number, since it uses less digits than its factorization.

21442011321042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30544175695 (or 30544175689 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21442011321042 its reverse (24012311024412), we get a palindrome (45454322345454).

The spelling of 21442011321042 in words is "twenty-one trillion, four hundred forty-two billion, eleven million, three hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 30544175671 61088351342 91632527013 183265054026 274897581039 397074283723 549795162078 794148567446 824692743117 1191222851169 1649385486234 2382445702338 3573668553507 7147337107014 10721005660521 21442011321042