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21034453440 = 26357211135359
BaseRepresentation
bin10011100101110000…
…000100100111000000
32000021221000221121010
4103211300010213000
5321034310002230
613355121200520
71343152622100
oct234560044700
960257027533
1021034453440
118a14445220
1240b0490140
131ca2ab8b70
141037841200
158319a59b0
hex4e5c049c0

21034453440 has 1344 divisors, whose sum is σ = 94567979520. Its totient is φ = 3891363840.

The previous prime is 21034453423. The next prime is 21034453459. The reversal of 21034453440 is 4435443012.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21034453398 and 21034453407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 356516131 + ... + 356516189.

It is an arithmetic number, because the mean of its divisors is an integer number (70363080).

Almost surely, 221034453440 is an apocalyptic number.

21034453440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21034453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47283989760).

21034453440 is an abundant number, since it is smaller than the sum of its proper divisors (73533526080).

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

21034453440 is a wasteful number, since it uses less digits than its factorization.

21034453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 21034453440 its reverse (4435443012), we get a palindrome (25469896452).

It can be divided in two parts, 21034 and 453440, that added together give a palindrome (474474).

The spelling of 21034453440 in words is "twenty-one billion, thirty-four million, four hundred fifty-three thousand, four hundred forty".