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21142343442 = 231119132112763
BaseRepresentation
bin10011101100001011…
…101000111100010010
32000120110001022212010
4103230023220330102
5321244414442232
613413533443350
71345632645153
oct235413507422
960513038763
1021142343442
118a6a335610
124120640556
131cbc2629bc
141047cc792a
1583b1b80cc
hex4ec2e8f12

21142343442 has 64 divisors (see below), whose sum is σ = 48597143040. Its totient is φ = 6064502400.

The previous prime is 21142343441. The next prime is 21142343447. The reversal of 21142343442 is 24434324112.

It is not an unprimeable number, because it can be changed into a prime (21142343441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650153 + ... + 1662915.

It is an arithmetic number, because the mean of its divisors is an integer number (759330360).

Almost surely, 221142343442 is an apocalyptic number.

21142343442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21142343442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298571520).

21142343442 is an abundant number, since it is smaller than the sum of its proper divisors (27454799598).

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

21142343442 is a wasteful number, since it uses less digits than its factorization.

21142343442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14119.

The product of its digits is 18432, while the sum is 30.

Adding to 21142343442 its reverse (24434324112), we get a palindrome (45576667554).

The spelling of 21142343442 in words is "twenty-one billion, one hundred forty-two million, three hundred forty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1321 2642 3963 7926 12763 14531 25099 25526 29062 38289 43593 50198 75297 76578 87186 140393 150594 242497 276089 280786 421179 484994 552178 727491 828267 842358 1454982 1656534 2667467 5334934 8002401 16004802 16859923 33719846 50579769 101159538 185459153 320338537 370918306 556377459 640677074 961015611 1112754918 1922031222 3523723907 7047447814 10571171721 21142343442