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22141252013024 = 253121423505969
BaseRepresentation
bin1010000100011001010010…
…11101100000101111100000
32220101200102220220002100202
411002030221131200233200
510400230241003404044
6115031314544004332
74443436602565004
oct502145135405740
986350386802322
1022141252013024
1170670635a3971
1225971586006a8
13c47bac912cb1
145678dc728704
15285e28946c4e
hex142329760be0

22141252013024 has 72 divisors (see below), whose sum is σ = 45073839575520. Its totient is φ = 10705959060480.

The previous prime is 22141252012987. The next prime is 22141252013063. The reversal of 22141252013024 is 42031025214122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43507112 + ... + 44013080.

It is an arithmetic number, because the mean of its divisors is an integer number (626025549660).

Almost surely, 222141252013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22141252013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22536919787760).

22141252013024 is an abundant number, since it is smaller than the sum of its proper divisors (22932587562496).

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

22141252013024 is a wasteful number, since it uses less digits than its factorization.

22141252013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507464 (or 507425 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 22141252013024 its reverse (42031025214122), we get a palindrome (64172277227146).

The spelling of 22141252013024 in words is "twenty-two trillion, one hundred forty-one billion, two hundred fifty-two million, thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1423 1922 2846 3844 5692 7688 11384 15376 22768 30752 44113 45536 88226 176452 352904 505969 705808 1011938 1367503 1411616 2023876 2735006 4047752 5470012 8095504 10940024 15685039 16191008 21880048 31370078 43760096 62740156 125480312 250960624 486236209 501921248 719993887 972472418 1439987774 1944944836 2879975548 3889889672 5759951096 7779779344 11519902192 15559558688 22319810497 23039804384 44639620994 89279241988 178558483976 357116967952 691914125407 714233935904 1383828250814 2767656501628 5535313003256 11070626006512 22141252013024