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21442423040 = 28576122013
BaseRepresentation
bin10011111110000100…
…010110100100000000
32001100100200221200022
4103332010112210000
5322403230014130
613503413313012
71356235405613
oct237604264400
961310627608
1021442423040
119103763885
1241a5035768
13203948aaac
141075abc17a
158576e07e5
hex4fe116900

21442423040 has 72 divisors (see below), whose sum is σ = 51431132088. Its totient is φ = 8565309440.

The previous prime is 21442423033. The next prime is 21442423061. The reversal of 21442423040 is 4032424412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60964864 + 21381458176 = 7808^2 + 146224^2 .

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, 963074 + ... + 985086.

It is an arithmetic number, because the mean of its divisors is an integer number (714321279).

Almost surely, 221442423040 is an apocalyptic number.

21442423040 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 21442423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25715566044).

21442423040 is an abundant number, since it is smaller than the sum of its proper divisors (29988709048).

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

21442423040 is an equidigital number, since it uses as much as digits as its factorization.

21442423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22795 (or 22781 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 21442423040 its reverse (4032424412), we get a palindrome (25474847452).

The spelling of 21442423040 in words is "twenty-one billion, four hundred forty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 761 1280 1522 3044 3805 6088 7610 12176 15220 22013 24352 30440 44026 48704 60880 88052 97408 110065 121760 176104 194816 220130 243520 352208 440260 487040 704416 880520 974080 1408832 1761040 2817664 3522080 5635328 7044160 14088320 16751893 28176640 33503786 67007572 83759465 134015144 167518930 268030288 335037860 536060576 670075720 1072121152 1340151440 2144242304 2680302880 4288484608 5360605760 10721211520 21442423040