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20132444442 = 23111312519277
BaseRepresentation
bin10010101111111111…
…001011100100011010
31220222001202010212110
4102233333023210122
5312212401210232
613125420053150
71311620645205
oct225777134432
956861663773
1020132444442
1185a1270540
123a9a3941b6
131b8ac6ac26
14d8db2093c
157cc6cdacc
hex4affcb91a

20132444442 has 64 divisors (see below), whose sum is σ = 44441768448. Its totient is φ = 6029400000.

The previous prime is 20132444419. The next prime is 20132444443. The reversal of 20132444442 is 24444423102.

It is not an unprimeable number, because it can be changed into a prime (20132444443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165508 + ... + 2174784.

It is an arithmetic number, because the mean of its divisors is an integer number (694402632).

Almost surely, 220132444442 is an apocalyptic number.

20132444442 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 20132444442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220884224).

20132444442 is an abundant number, since it is smaller than the sum of its proper divisors (24309324006).

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

20132444442 is a wasteful number, since it uses less digits than its factorization.

20132444442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20132444442 its reverse (24444423102), we get a palindrome (44576867544).

The spelling of 20132444442 in words is "twenty billion, one hundred thirty-two million, four hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 131 251 262 393 502 753 786 1441 1506 2761 2882 4323 5522 8283 8646 9277 16566 18554 27831 32881 55662 65762 98643 102047 197286 204094 306141 361691 612282 723382 1085073 1215287 2170146 2328527 2430574 3645861 4657054 6985581 7291722 13368157 13971162 25613797 26736314 40104471 51227594 76841391 80208942 153682782 305037037 610074074 915111111 1830222222 3355407407 6710814814 10066222221 20132444442