Search a number
-
+
38220113142 = 233868981457
BaseRepresentation
bin100011100110000110…
…001010010011110110
310122122121212220202000
4203212012022103312
51111233322110032
625320313400130
72522062413201
oct434606122366
9118577786660
1038220113142
1115233291772
1274a7a09046
1337b13b5283
141bc804c938
15eda602e7c
hex8e618a4f6

38220113142 has 32 divisors (see below), whose sum is σ = 84944402400. Its totient is φ = 12738415104.

The previous prime is 38220113111. The next prime is 38220113143. The reversal of 38220113142 is 24131102283.

It is a super-2 number, since 2×382201131422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38220113143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428478 + ... + 509934.

It is an arithmetic number, because the mean of its divisors is an integer number (2654512575).

Almost surely, 238220113142 is an apocalyptic number.

38220113142 is an abundant number, since it is smaller than the sum of its proper divisors (46724289258).

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

38220113142 is a wasteful number, since it uses less digits than its factorization.

38220113142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90157 (or 90151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 38220113142 in words is "thirty-eight billion, two hundred twenty million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 8689 17378 26067 52134 78201 81457 156402 162914 234603 244371 469206 488742 733113 1466226 2199339 4398678 707779873 1415559746 2123339619 4246679238 6370018857 12740037714 19110056571 38220113142