Search a number
-
+
21434013024 = 253307727267
BaseRepresentation
bin10011111101100100…
…010001010101100000
32001022202212200022020
4103331210101111200
5322344101404044
613502513141440
71356104050614
oct237544212540
961282780266
1021434013024
1190a9a3a256
1241a225a880
132037804b58
14107492d344
15856acda19
hex4fd911560

21434013024 has 48 divisors (see below), whose sum is σ = 56447633088. Its totient is φ = 7121388672.

The previous prime is 21434013019. The next prime is 21434013037. The reversal of 21434013024 is 42031043412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21434012985 and 21434013003.

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, 334162 + ... + 393105.

It is an arithmetic number, because the mean of its divisors is an integer number (1175992356).

Almost surely, 221434013024 is an apocalyptic number.

21434013024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21434013024 is an abundant number, since it is smaller than the sum of its proper divisors (35013620064).

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

21434013024 is a wasteful number, since it uses less digits than its factorization.

21434013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727587 (or 727579 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21434013024 its reverse (42031043412), we get a palindrome (63465056436).

The spelling of 21434013024 in words is "twenty-one billion, four hundred thirty-four million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 307 614 921 1228 1842 2456 3684 4912 7368 9824 14736 29472 727267 1454534 2181801 2909068 4363602 5818136 8727204 11636272 17454408 23272544 34908816 69817632 223270969 446541938 669812907 893083876 1339625814 1786167752 2679251628 3572335504 5358503256 7144671008 10717006512 21434013024