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21350442144 = 253109218719
BaseRepresentation
bin10011111000100101…
…011110010010100000
32001002221121211121110
4103320211132102200
5322211203122034
613450330023320
71354040523003
oct237045362240
961087554543
1021350442144
11906684a209
12417a277b40
1320233c4325
1410677b753a
1584e5c1de9
hex4f895e4a0

21350442144 has 72 divisors (see below), whose sum is σ = 56566823040. Its totient is φ = 7051145472.

The previous prime is 21350442133. The next prime is 21350442161. The reversal of 21350442144 is 44124405312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1131217 + ... + 1149935.

It is an arithmetic number, because the mean of its divisors is an integer number (785650320).

Almost surely, 221350442144 is an apocalyptic number.

21350442144 is a gapful number since it is divisible by the number (24) 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 21350442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283411520).

21350442144 is an abundant number, since it is smaller than the sum of its proper divisors (35216380896).

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

21350442144 is a wasteful number, since it uses less digits than its factorization.

21350442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18950 (or 18833 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 21350442144 its reverse (44124405312), we get a palindrome (65474847456).

The spelling of 21350442144 in words is "twenty-one billion, three hundred fifty million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 10464 11881 18719 23762 35643 37438 47524 56157 71286 74876 95048 112314 142572 149752 190096 224628 285144 299504 380192 449256 570288 599008 898512 1140576 1797024 2040371 4080742 6121113 8161484 12242226 16322968 24484452 32645936 48968904 65291872 97937808 195875616 222400439 444800878 667201317 889601756 1334402634 1779203512 2668805268 3558407024 5337610536 7116814048 10675221072 21350442144