Search a number
-
+
21003444232032 = 253218785877417
BaseRepresentation
bin1001100011010001111101…
…10101010001111101100000
32202100220120010211001021010
410301220332311101331200
510223110023210411112
6112400503222300520
74265306633200503
oct461507665217540
982326503731233
1021003444232032
11676856878a489
122432736b87740
13b94801cc12a2
14528801ca713a
15266533b9063c
hex131a3ed51f60

21003444232032 has 24 divisors (see below), whose sum is σ = 55134041109336. Its totient is φ = 7001148077312.

The previous prime is 21003444232031. The next prime is 21003444232039. The reversal of 21003444232032 is 23023244430012.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×210034442320322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003444232031) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 109392938613 + ... + 109392938804.

It is an arithmetic number, because the mean of its divisors is an integer number (2297251712889).

Almost surely, 221003444232032 is an apocalyptic number.

It is an amenable number.

21003444232032 is an abundant number, since it is smaller than the sum of its proper divisors (34130596877304).

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

21003444232032 is a wasteful number, since it uses less digits than its factorization.

21003444232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218785877430 (or 218785877422 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 21003444232032 its reverse (23023244430012), we get a palindrome (44026688662044).

The spelling of 21003444232032 in words is "twenty-one trillion, three billion, four hundred forty-four million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 218785877417 437571754834 656357632251 875143509668 1312715264502 1750287019336 2625430529004 3500574038672 5250861058008 7001148077344 10501722116016 21003444232032