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224143001142141 = 3533894157871763
BaseRepresentation
bin110010111101101101011011…
…111101100100001101111101
31002101121212021010122221222010
4302331231123331210031331
5213334324331243022031
62112413512340241433
765132540343112434
oct6275553375441575
91071555233587863
10224143001142141
1165467570826654
12211804b96a0279
13980b795924683
143d4c81723211b
151ada71931e246
hexcbdb5bf6437d

224143001142141 has 32 divisors (see below), whose sum is σ = 305352706538880. Its totient is φ = 146197025970944.

The previous prime is 224143001142131. The next prime is 224143001142163. The reversal of 224143001142141 is 141241100341422.

It is a cyclic number.

It is not a de Polignac number, because 224143001142141 - 26 = 224143001142077 is a prime.

It is a super-2 number, since 2×2241430011421412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224143001142099 and 224143001142108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224143001142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256678726 + ... + 257550488.

It is an arithmetic number, because the mean of its divisors is an integer number (9542272079340).

Almost surely, 2224143001142141 is an apocalyptic number.

It is an amenable number.

224143001142141 is a deficient number, since it is larger than the sum of its proper divisors (81209705396739).

224143001142141 is a wasteful number, since it uses less digits than its factorization.

224143001142141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876365.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 224143001142141 its reverse (141241100341422), we get a palindrome (365384101483563).

The spelling of 224143001142141 in words is "two hundred twenty-four trillion, one hundred forty-three billion, one million, one hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 53 159 389 1167 4157 12471 20617 61851 220321 660963 871763 1617073 2615289 4851219 46203439 85704869 138610317 257114607 339115807 1017347421 3623918791 10871756373 17973137771 53919413313 192067695923 576203087769 1409704409699 4229113229097 74714333714047 224143001142141