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14220134004032 = 2611179112843877
BaseRepresentation
bin1100111011101110001000…
…0010010011010101000000
31212100102122120220000110222
43032323202002103111000
53330440313301112112
650124350034442212
72665241114456555
oct316734202232500
955312576800428
1014220134004032
1145927a7a22040
121717b5a133368
137c1c50638b78
14372388558a2c
15199d71c5d372
hexceee2093540

14220134004032 has 56 divisors (see below), whose sum is σ = 30955332612960. Its totient is φ = 6427587176960.

The previous prime is 14220134004031. The next prime is 14220134004047. The reversal of 14220134004032 is 23040043102241.

It is a super-2 number, since 2×142201340040322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14220134003992 and 14220134004010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220134004031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56295923 + ... + 56547954.

It is an arithmetic number, because the mean of its divisors is an integer number (552773796660).

Almost surely, 214220134004032 is an apocalyptic number.

It is an amenable number.

14220134004032 is an abundant number, since it is smaller than the sum of its proper divisors (16735198608928).

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

14220134004032 is a wasteful number, since it uses less digits than its factorization.

14220134004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112844079 (or 112844069 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14220134004032 its reverse (23040043102241), we get a palindrome (37260177106273).

The spelling of 14220134004032 in words is "fourteen trillion, two hundred twenty billion, one hundred thirty-four million, four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 179 352 358 704 716 1432 1969 2864 3938 5728 7876 11456 15752 31504 63008 126016 112843877 225687754 451375508 902751016 1241282647 1805502032 2482565294 3611004064 4965130588 7222008128 9930261176 19860522352 20199053983 39721044704 40398107966 79442089408 80796215932 161592431864 222189593813 323184863728 444379187626 646369727456 888758375252 1292739454912 1777516750504 3555033501008 7110067002016 14220134004032