Search a number
-
+
142233444332241 = 3731374740640747
BaseRepresentation
bin100000010101110001001101…
…111011001011001011010001
3200122121101101021210012000120
4200111301031323023023101
5122120323043222112431
61222301050422140453
741650012225625013
oct4025611573131321
9618541337705016
10142233444332241
1141357957342029
1213b51964881729
136149730104532
14271a1c78d41b3
151169c41b2a196
hex815c4decb2d1

142233444332241 has 16 divisors (see below), whose sum is σ = 193645693274304. Its totient is φ = 92840708369664.

The previous prime is 142233444332209. The next prime is 142233444332249.

142233444332241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142233444332241 - 25 = 142233444332209 is a prime.

It is a super-2 number, since 2×1422334443322412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142233444332193 and 142233444332202.

It is not an unprimeable number, because it can be changed into a prime (142233444332249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2370290371 + ... + 2370350376.

It is an arithmetic number, because the mean of its divisors is an integer number (12102855829644).

Almost surely, 2142233444332241 is an apocalyptic number.

It is an amenable number.

142233444332241 is a deficient number, since it is larger than the sum of its proper divisors (51412248942063).

142233444332241 is a wasteful number, since it uses less digits than its factorization.

142233444332241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740640960.

The product of its digits is 1327104, while the sum is 42.

The spelling of 142233444332241 in words is "one hundred forty-two trillion, two hundred thirty-three billion, four hundred forty-four million, three hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 73 137 219 411 10001 30003 4740640747 14221922241 346066774531 649467782339 1038200323593 1948403347017 47411148110747 142233444332241